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Articles

3D-CUBE readiness model for industry 4.0: technological, organizational, and process maturity enablers

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Pages 875-937 | Received 27 Sep 2021, Accepted 06 Oct 2022, Published online: 25 Nov 2022

ABSTRACT

This paper proposes a new Readiness Model, 3D-CUBE, to assess the current state of manufacturing companies in the digital transformation context. Using a systematic literature review with 8-Steps-Search-Flow and a hypothetical-deductive framework (considering maturity as an 'input' enabler and not as an 'output'), the best information of 63 existing models was selected from 486 studies found in 10 databases. The 3D-CUBE was elaborated, with 3 dimensions (X = Organizational , Y = Technological , and Z = Process Maturity), 6 sub-dimensions, and 21 elements, including a scale 0-5 to assess the company readiness level. For the company’s Data Collection, a 3D-CUBE Questionnaire was developed, which provides a radar graph and calculates the company’s score with a readiness vector R=(X,Y,Z). Based on the existing model’s shortcoming, 3D-CUBE is a new contribution to this research stream, to help companies in getting ready for Industry 4.0. .

1. Introduction

The current Industry 4.0 (I4.0) can be understood as a relevant process of merging the physical, digital, and biological worlds through digital transformation technologies and cyber-physical systems (ISCOOP, Citation2022). I4.0 has technological enablers for new production systems, like Big Data, Cloud Computing, Artificial Intelligence (AI), Industrial Internet of Things (IIoT), and Cybersecurity (Jazdi, Citation2014). It represents a new stage in the organization and control of the industrial value chain since new technology paradigms and market pressure have transformed production processes and business models (Zhong et al., Citation2017).

Besides, there is an increasing number of authors advocating that companies must have a certain degree of maturity to succeed in a smart manufacturing environment (Renteria et al., Citation2019; Tortorella et al., Citation2020). Maturity Models (MM) are useful for both science and practice because they help systematically gather information about a company’s current state and its strategies for I4.0. These data can be used to compare companies and their performance, develop better implementation methodologies, and understand current pitfalls. On the practical side, MMs are an established approach for helping companies evaluate themselves within a specific interest area and for planning improvements (Chrissis et al., Citation2003). The application of MMs as self-assessment is currently proposed for the I4.0 endeavor (Agca et al., Citation2017; Canetta & Et. Al, Citation2018; Schuh et al., Citation2016; Schumacher et al., Citation2016; Tortorella et al., Citation2020; Unterhofer et al., Citation2018).

According to Pereira (Citation2011), a scientific investigation is justified when there are gaps in knowledge about a subject, and there is a possibility of adding something to it with research. In this paper, a new model for the analysis of I4.0 readiness is proposed. The Model relates technological and organizational enablers and maturity to understand the gaps and possible guidelines for implementing I4.0 in companies. The Model is centered on the concept of readiness once a company must be ready to implement Industry 4.0 advancements, and this readiness must not be only on the technical side. On the other hand, the concept of maturity, derived from the quality management field, is not so appropriate to communicate the challenges a company faces when trying to implement Industry 4.0, especially in emerging countries. In fact, how can a company be mature to implement something that is evolving, and no researcher or consultancy knows exactly how it will progress? This reasoning motivated the authors to propose a readiness model where maturity is an input dimension necessary for a company to understand if it is ready to implement I4.0 technologies effectively. In our Model, maturity is derived from the excellence a company must be in the New Product Development (NPD) and Order Fulfillment (OF) processes.

The Model also addresses some pitfalls from previous MMs. To Amaral and Peças (Citation2021), there is no tool for a systematic approach that predicts a company’s hurdles in implementing I4.0. Additionally, the existing tools essentially focused on advanced technologies and occasionally on specific areas of this concept, such as technology or processes. Furthermore, not all MMs follow a concrete process model in their development, and most lack a thorough evaluation, especially regarding their usage in practice. In line with Leyh et al. (Citation2016), however, some of the analyzed MMs contain, in part, related and relevant approaches. Still, these mostly do not cover necessarily all the required functionality and content of highly integrative and organization-wide digitization for application in the field of I4.0. After analyzing the main 17 MMs in their study, Simetinger and Zhang (Citation2020) affirm that the existing MMs can help with I4.0, but there are still tasks that must be handled and do not require only technical excellence.

According to Renteria et al. (Citation2019), some models don’t have a description for each dimension level and do not present essential information about their enablers, structure, items, variables, dimensions, stages, layers, or evaluating levels. Hence, most of them only provide a general description for each stage and do not have their clauses mapped synergically. If a variable is too generic, its accurate assessment is difficult; if a level is too generic, a clear distinction between the levels of a dimension is jeopardized.

This research proposes the ‘3D-CUBE Readiness Model,’ which relates technological, organizational, and process maturity enablers as dimensions for evaluating a company’s readiness to implement Industry 4.0. This article compares existing maturity and readiness models, identifies the current problems and limitations in these approaches, and describes the new 3D-CUBE Model.

The relevance of research may be associated with several factors, such as the theme’s importance, the approach’s originality, and the results’ applicability (Pereira, Citation2011). The importance of the theme is self-understood once Industry 4.0 is evolving, and many companies have not started their digitalization journey. The approach is original once we built a different relation between readiness and maturity, through a hypothetical-deductive approach. And the model applicability is under test and evolving as presented next.

Additionally to this section, the section ‘materials and methods’ presents the research methodology, and the section ‘theoretical analysis’ analyses the history and theoretical fundamentals of the MMs in the literature, including the previous models and the systematic bibliographic review. The section ‘3D-CUBE Model definition’ presents the 3D-CUBE Model and its different levels and dimensions, the section ‘methodology of readiness vector calculation’ presents the readiness vector calculation and graphics, and the section ‘discussion and conclusion’ concludes the paper with a summary and outlooks.

2. Materials and methods

This research uses a hypothetical-deductive approach (Lakatos & Musgrave, Citation1977). This methodology includes:

  1. study of existing theories;

  2. formulation of a research problem based on discovered theoretical and empirical issues;

  3. proposed solutions consisting of conjectures or models;

  4. deduction of the consequences in the form of hypotheses suitable for testing the investigated phenomena; and

  5. falsifiability test embracing efforts to refute the hypotheses by observation, experimentation, simulation, or other procedures.

Only the first three steps are extensively presented in this article, as described below.

A systematic literature review was performed with a specific 8-Steps Search Flow. Ten of the most common scientific platforms to provide a bibliometric analysis were searched: Scopus – which presents studies from 1997 until now; Web of Science (WoS) – from 1945 until now; Science Direct (SD) – from 1992 until now; Educational Resources Information Centre (ERIC) – from 2001 until now; EBSCOhost (Academic Search Premier-ASP) – from 1887 until now; Wiley Online Library (Wiley) – from 1992 until now; American Association for the Advancement of Science (AAAS) – no information available; Springer Link – from 1991 until now; Research Gate (RG) – no information available; ACM Digital Library (ACM) – from 1908 until now. The results of analyzing these ten databases have totalized 63 MM, which will be analyzed and qualitatively discussed in this work. Common bibliometric indicators such as main authors, journals, keyword networks, highlighted countries, and institutions were also generated, but it is not in the scope of this article. The bibliometric report of part of this research is presented in Silva et al. (Citation2021). The present paper shows the systematic analysis of the papers, i.e. a qualitative study to understand the foundation and main concepts of the gathered literature to understand its scientific.

The second step is formulating a research problem based on discovered theoretical and empirical issues. Concurrently analyzing existing models, the research team had two previous empirical interactions with MMs.

The first was a trial to use the Acatech Model (Schuh et al., Citation2016) to propose Industry 4.0 improvements in a large Brazilian beverage company. It is described in Barbalho and Dantas (Citation2020) and shows that the mentioned Model was a proprietary solution. In their work, the author used the WMG Model (Agca et al., Citation2017), a free internet-based solution developed by Warwick University in England. This Model was analytically stressed in our research, and this interaction shows that the way it was applied tends to generate performance islands (Barbalho & Dantas, Citation2020).

The second was the possibility to be applied to the Acatech Model, i.e. one of the authors was the focal point in a large Brazilian energy company to which the Acatech Model was applied to evaluate Industry 4.0 possibilities. The Brazilian national industry authority has partnered with the German engineer’s academy that created the Acatech Model and is applying it to Brazilian industries as a tool to propose lacks for Industry 4.0 implementation. The Acatech was deployed in question and used as an online tool to be used this way. When answering this tool, the researcher identified other lacks in the Model addressed on the 3D-CUBE. The analysis of existing models and these two empirical interactions were the main inputs to the 3D-CUBE.

The third step in the hypothetical deductive method is to propose solutions consisting of conjectures or models. The 3D-CUBE is our proposal. The meaning behind its development was to create a solution that could be used to compare Brazilian and German companies in a better way.

Because of the complexity and wide scope of a MM, the fourth step, deduction of the consequences in the form of hypotheses suitable for testing the investigated phenomena, is initially discussed with theoretical implications of the most likely business profiles in terms of the readiness that our model diagnoses. The fifth step falsifiability test is already initiated with two interactions briefly discussed in the last section, but it must be subject to future contributions.

3. Theoretical analysis

Maturity Models have been developed for almost 50 years. In 1973, Nolan (Citation1973) presented his staged Model with the first notions of a MM for managing the computer resources in organizations. In 1993, Paulk (Citation1993) designed the widely recognized Capability Maturity Model (CMM), which they deployed into CMMI later. This MM measures how a software development organization matures its development activities and maintenance processes (Merkus et al., Citation2020). The CMM describes the principles and practices underlying the software process maturity and is intended to help organizations improve it.

Since 1991, CMMs have been deployed for various disciplines, like systems engineering, software engineering, software acquisition, workforce management, and development. Although these models have proved useful to organizations, using multiple models has been problematic (Chrissis et al., Citation2003). The CMM Integration (CMMI) project was formed to sort out the problem of using multiple CMMs, whose combination into a single improvement framework was intended for use by organizations in their pursuit of enterprise-wide process improvement. In fact, in our thesis, more than 8 MMs have CMMI origin (such as Schumacher et al., Citation2016; Kerrigan, Citation2013; Schuh et al., Citation2016; De Carolis et al., Citation2017; Canetta & Et. Al, Citation2018; Sjödin et al., Citation2018; Pirola, Cimini, Pinto et al., Citation2019; Bandara et al., Citation2019; and Li et al., Citation2019 – see, Appendix A).

Around 2010, MM design became more structured with a MM design procedure model that describes possible organizational improvements by naming activities for all maturity levels. A set of maturity levels is applied to a relevant set of application area constructs, often represented in a tabular format, for maturity measurement (Merkus et al., Citation2020).

3.1. Maturity and readiness models’ definitions

MMs are commonly used to conceptualize and measure the maturity of an organization or a process regarding some specific target state (Schumacher et al., Citation2016). For Büyüközkan et al. (Citation2020) in the Digital Transformation (DT) context, some authors call MMs like ‘Digital Maturity Model (DMM)’. According to Barbalho and Dantas (Citation2020), the way a company implements I4.0 could generate a phenomenon called ‘performance islands’, which occur when a serious effort in improvements approaches a specific area but is limited by the poor performance of the other areas. As a whole, the system does not reach its possible excellence.

This partial and not general improvement effort is dealt with by the Capability Maturity Model Integration – CMMI (Chrissis et al., Citation2003), which suggests that it has two possible directions for process improvements: a sector-specific improvement approach based on capability assessment (Barbalho & Rozenfeld, Citation2013; Chrissis et al., Citation2003; Schuh et al., Citation2016) and a real company improvement based on maturity levels (Agca et al., Citation2017; De Carolis et al., Citation2017), which is generally more commonly applied.

Once the main reference literature discusses ‘maturity’ and ‘capability’, it is important to distinguish between ‘maturity’ and ‘readiness’ concepts because they are confused in the scientific literature, where it is possible to identify ‘readiness’ and ‘maturity’ models. For Basl (Citation2018), i.e. the readiness models are mostly MMs in many cases. Although they are labelled synonymously, there are some differences between them. Schumacher et al. (Citation2016) express the difference between these two concepts, putting readiness before starting the maturation process. That is, readiness assessment takes place before engaging in the maturing process. In contrast, maturity assessment aims to capture the as-it-is state during the maturing process. For them, while readiness shows if the organization is ready to start a development process, maturity demonstrates the level of organization about the analyzed process. So, readiness is ‘willingness or a state of being prepared for something,’ and maturity is ‘a very advanced or developed form or state’.

Understanding that I4.0 is a new stretch and does not have a solid and consolidated standard, this study will be used the readiness model concepts for I4.0. So based on this concept, this paper considers that ‘readiness’ is related to how much the company is ready to enter an I4.0 trajectory. At the same time, ‘maturity’ is related to the idea that the company is already mature, at some level, for I4.0. We think no company has a mature process for Industry 4.0 once this concept and practice evolves, but the company can have mature processes. The next section presents our analysis of the 63 MMs found in the literature search.

3.2. Maturity and readiness models for industry 4.0

We analyzed the models regarding dimensions, maturity levels, and architecture. A time-frame overview of these analyzed models is given in . Germany has published the most on this subject and has the largest number of models. Moreover, in recent years there has been an increase in the number of European countries producing scientific content on this subject. The qualitative analysis of these 63 models was also based on systematic bibliographic reviews of some of their authors, such as Zoubek and Simon (Citation2021), Silva et al. (Citation2021), Basl (Citation2018), and Pirola, Cimini, Pinto et al. (Citation2019), and Caiado et al. (Citation2020).

Figure 1. Timeframe of the analyzed MMs. source: authors.

Figure 1. Timeframe of the analyzed MMs. source: authors.

As shown in , from 2016 to 2020 were proposed 52 up to 63 MMs. Just the year 2019 concentrates 17 models. There were mainly consultancy models at the beginning of this period, and in the last years, mainly scientific publications. In general, the ‘Maturity’ term still appears more than ‘Readiness’, which is newer than the first. There were found 376 different authors and 10 clusters, and the author with the higher number of studies (4 studies) was Leyh et al. (Citation2016), with SIMMI 4.0 MM. It is important to verify that several research groups are studying this theme, with the most recent cluster (2021) represented by Zoubek and Simon (Citation2021) and Basl (Citation2018).

At this qualitative stage, the 63 studies were analyzed in Appendix A, based on the following parameters: characteristics of the enterprise considered in the study, MM type, input dimensions, outputs, critical analysis, output levels, country of origin, possible shortcomings, if the MM had been empirically tested and the year of creation.

3.3. Summary of the theoretical analysis and 3D-CUBE propositions

This section summarizes the elements found in our literature review that motivate our proposed Model. First, most models miss scientific documentation and have only empirical or theoretical development. Some are not been intensively validated in real-life applications or tested to assess their usefulness as a benchmarking tool. In general, it generates a gap between a theoretical conception and a realistic view.

For instance, some models are preliminary works lacking important elements to allow an effective company analysis (Gaur & Ramakrishnan, Citation2019; Unny & Lal, Citation2020). Nick et al. (Citation2020), Azevedo and Santiago (Citation2019), Basl (Citation2018), and Amaral and Peças (Citation2021) do not have information about output levels. Rojas et al. (Citation2019) are just applicable for web security and don’t have input dimensions. Facchini et al. (Citation2019) and Zoubek and Simon (Citation2021) present a tailored model for logistics processes. Ganzarain and Errasti (Citation2016) don’t have a questionnaire to implement their assessment.

Besides, models like Schumacher et al. (Citation2016), Trotta and Garengo (Citation2019), Nick et al. (Citation2020), Azevedo and Santiago (Citation2019), Rojas et al. (Citation2019), Basl (Citation2018), and Ifenthaler and Egloffstein (Citation2020), and Sanabria et al. (Citation2020), and Merkus et al. (Citation2020), and Amaral and Peças (Citation2021), Ramos et al. (Citation2021), and Zoubek and Simon (Citation2021), pp. – see Appendix A, don’t present essential information about their enablers, structure, items, variables, dimensions, stages, layers, and evaluating levels. Most of them only provide a general description for each stage and have no clauses mapped with synergy (Renteria et al., Citation2019). So, if a variable is too generic, an accurate assessment is difficult, and if a level is poorly described, a clear distinction between the levels of a dimension is missing. In some cases, because of its large set of elements, the models presented difficulties to be implemented, especially in small enterprises. Sometimes the maturity or readiness model is so complex that it needs professional judgment to interpret the results after application in enterprises.

Another important problem is that models like Rockwell (2014) focus only on the facets of the existing IT network and inadequately address the organizational and operations-related dimensions. And still, models like Impuls (Lichtblau et al., Citation2015), which focus on technological enablers, don’t consider a few key technologies such as AI (Artificial Intelligence), AR (Augmented Reality), VR (Virtual Reality), smart glasses, and Blockchain Technology and have a vague description of how the technologies can be used for integration and the inter-relations among them. In many cases, digital competencies and technologies outside the IT field are not discussed. Indeed, models like Schuh et al. (Citation2016), lack technology considerations for the proposed process analysis, being difficult to comprehend the differences between the maturity analysis for I4.0 and a generic improvement analysis for increasing something in the company’s performance.

Considering the validation steps, models like Felch and Asdecker (Citation2018), limit the questionnaire respondents, only distributed to some enterprises in a specific country (regional bias) or within a specific industry, limiting the validity of their findings. About the target audience, models like Singapore (Citation2017) do not consider people from different departments to fill out the questionnaire, others only examine manufacturing sites (not including executives and senior managers), and others like Santos and Martinho (Citation2020) use a small number of professionals in the industry to participate in the validation phase.

In some models, such as Lichtblau et al. (Citation2015), Rockwell (Citation2014), De Carolis et al. (Citation2017), Akdil et al. (Citation2018), and Canetta and Et. Al (Citation2018), pp. – see Appendix A, filling out the survey questionnaire is difficult because it doesn’t follow the output levels number and presents a juxtaposition of dimensions. For example, among smart factories and smart operations, respondents could have doubts regarding the clarity of each dimension and their questions to answer. Besides, some model questionnaires emphasize the process view without tracking the common company functions, such as engineering, marketing, manufacturing, and finance; however, most companies are structured in these functional units. Therefore, it can be difficult to identify the right person in a company to answer the queries. Models like Ganzarain and Errasti (Citation2016) and Weber et al. (Citation2017), even do not have any questionnaires to be applied. Considering the final results report, models like Gajsek et al. (Citation2019) only have general diagnostics but not a clear definition of the action plan to implement Industry 4.0 improvements.

Regarding supply-chain, MMs lack a process view connecting the whole supply-chain and didn’t address the lean aspects or identify improvement opportunities or roadmap for further developments.

Therefore, based on the presented MMs shortcomings, and considering that most models have not been tested, we see the need for a model which addresses the limitations found, especially to provide a practical and easy application methodology with dimensions and levels defined and structured in an unprecedented way, geared to the readiness of a company in the context of I4.0. The new Model differentiates the enablers and a processual view. It must have a clear decomposition for each separate dimension and allow for an evaluation of less structured companies and those that already initiated their I4.0 journey. Finally, the Model needs to be clear about how new technologies can disrupt business processes but be balanced to avoid a technology-heavy approach to process improvement.

As the relationship between readiness and maturity is central to our Model, we also state the following research propositions to guide our development:

  • PROP1: Maturity is different from readiness when analyzing if a company is prepared to implement Industry 4.0 technologies in its operations.

  • PROP2: Process maturity is input when analyzing if a company is ready to implement Industry 4.0 technologies in its operations.

4. 3D-CUBE model definition

The 3D-CUBE Readiness Model considers the dimensions of organizational enablers, technological enablers, and process maturity as inputs (see, ). After the bibliometric review results, it can be seen that most existing MMs today use the same concept of CMMI maturity, others have no well-defined concepts, and others use readiness and maturity as synonyms. Differently, in 3D-CUBE, the relationship between maturity and readiness is clearly defined.

Figure 2. The framework of the proposed readiness model. source: authors.

Figure 2. The framework of the proposed readiness model. source: authors.

The proposed 3D-CUBE reflects how ready a company is to engage in an I4.0 environment, focusing on a company’s level of readiness for I4.0.

4.1. 3D-CUBE readiness levels

Based on the CMMI (Chrissis et al., Citation2003) and incorporating elements of Schuh et al. (Citation2016), the readiness levels are defined as follows: not initiated, initial, managed, defined, optimized, and self-adapted ().

So, the first levels have similarities with previous I4.0 MMs, such as DREAMY Model (De Carolis et al., Citation2017), while the 5th level is based on Schuh et al. (Citation2016), which follows the concept of adaptability, where continuous adaptation allows a company to delegate some decisions to IT systems, adapting to a changing business environment with self-optimization machines.

shows that on level 0 (not initiated), the company does not comply with at least one of the three readiness dimensions. At the same time, level 5 (self-adapted) means that for all dimensions, sub-dimensions, and elements of the 3D-CUBE, the company has a maximum score (of five), representing complete readiness.

Figure 3. 3D-CUBE readiness model levels. source: authors.

Figure 3. 3D-CUBE readiness model levels. source: authors.
.

As a CMMI-based Model, 3D-CUBE inserts an initial step as ‘level 0’ to implement the concept that a company could improve separate areas with different capabilities. With the same objective of covering all possibilities within the six levels, ‘level 1’ of the 3D-CUBE Model (named ‘initiated’) replaces the CMMI level ‘performed’ (for continuous improvement) and ‘initial’ (for staged improvement). The ‘optimized’ level of the 3D-CUBE differs from the CMMI approach. It joins the last two CMMI levels (‘quantitatively managed’ and ‘optimized’) into just one concept.

For the last level, 3D-CUBE includes a ‘self-adapted’ as an autonomous process in which a piece of equipment, for example, can be guided by sensors and actuators autonomously, in real-time, and according to the conditions of the moment. Besides, decision-making is done using algorithms that evaluate performance and provide suggestions for a well-trained human decision-maker (Gamache et al., Citation2020).

4.2. 3D-CUBE dimensions

Based on the main dimensions found in the 63 existing MMs and considering the need to analyze ‘process maturity’ in a readiness model, the 3D-CUBE gives a tri-dimensional view of readiness, generating a three-dimensional vector as a result, which facilitates the company’s understanding of its real situation through Industry 4.0. So, as a result of the evaluation process, there is a readiness vector R = (X,Y,Z), where ‘X’ is the organizational enabler, ‘Y’ is the technological enabler, and ‘Z’ is the process maturity enabler. When diagnosed, a company has different readiness levels in each dimension, with sub-dimensions and a third granularity named ‘elements’ ().

Figure 4. 3D-CUBE readiness model. source: authors.

Figure 4. 3D-CUBE readiness model. source: authors.

As explained before, each dimension, sub-dimension, and element vary from level 0 to 5. The following description () provides further details.

Table 1. 3D-CUBE dimensions, sub-dimensions, and elements (source: Author).

Next, each enabler will be explained, starting with ‘organizational enablers’, ‘technological enablers’, and, finally, the ‘process maturity enablers’.

4.2.1. Organizational enablers

Organizational enablers for readiness are differentiated into two sub-dimensions, following Schumacher et al. (Citation2016) and De Carolis et al. (Citation2017):

  1. Organizational strategy

  2. Human Workforce

(1) Organizational strategy deals with the necessary support and philosophy that a company must have to enable organizational change. Organizational strategy requires top managers to show interest in I4.0 solutions, and the organization itself to be open to new ideas and concepts regarding its structure and processes. A digital strategy represents the improvement of products and processes through digital technologies and the opportunity to develop a brand-new business model. A good digital strategy must incorporate a long-term vision, a business model review, and a digital plan to achieve business objectives (Gamache et al., Citation2020). So, the Organizational Strategy sub-dimension is the adaptive organization that a company encompasses in response to or anticipating changes in its external environment (Merkus et al., Citation2020). The 3D-CUBE Model includes the elements: ‘top-down support and governance’, ‘organizational structure management’, ‘Business Model (BM) management’, and ‘regulatory compliance and contractual relations’.

4.2.2. Top-down support and governance

First, a ‘Top-down support for I4.0’ is needed to initiate the I4.0 initiatives and projects; once when a company is trying to implement I4.0, the comfort zones are forced to be exceeded (Mintzberg et al., Citation2003; Tortorella et al., Citation2020). Only strong support from senior managers with a strict mindset (Mittal et al., Citation2018) can sponsor the necessary changes for the transformation process. Senior management’s support is necessary for bottom-up (several small initiatives begin without this support, but if it exists, they are potentiated) and top-down efforts (initiatives and projects defined by senior managers). Top-down support includes governance, which is a ‘mechanism for managing complex projects and change initiatives’ (Merkus et al., Citation2020).

4.2.3. Organizational structure management

Organizational structure management considers the analysis of impacts of the I4.0 on the company’s competitiveness, the management of the I4.0 implementation, investments in the technologies of I4.0, innovation management, and use of technologies (Santos & Martinho, Citation2020). Organizational structure englobes ‘practices, actions, business process, the flexibility, working rules, collaborations and communications, procedures that complement and accommodate activities within and between organizations’ (Merkus et al., Citation2020).

4.2.4. Business model management

BMs are simplified and aggregated representations of the relevant activities in a company, consisting of its strategy, customer/market perspective, and value constellation (Weking et al., Citation2020). I4.0 BMs can be demonstrated by integrating connectivity and other I4.0 technologies in their operation. The new digital technologies can improve one’s offer and relationship with the customer (Gamache et al., Citation2020). Industry 4.0 enables companies to associate the obstacles of BMs in one sector they actuate with solutions or obstacles in another sector. Flawed operational decisions can lead to a downward spiral if not interrupted by alert systems, such as a decrease in profit. BM is subdivided into: ‘IT/cloud-based BMs’, ‘Service-based BMs’, ‘Spin-offs-based BMs’, and ‘Partners-based BMs’:

  • IT/cloud-based BMs: the result of technological enablers in I4.0, which can directly connect customers to a company (Müller et al., Citation2018). Knowledge creation and management are essential issues here (Dragicevic et al., Citation2020), as well as the use of big data (Lee, Citation2018) and cloud computing (Wu et al., Citation2020).

  • Service-based BMs: BMs based on product-service systems, that is, the servitization of BMs that originally were more focused on selling products. Product-service systems and circular BMs are a current imperative (Kohtamäkia et al., Citation2019) since a growing number of customers are conscious of the environment when buying consumer goods.

  • Spin-offs-based BMs: imply that a company follows open innovation strategies (Benitez et al., Citation2020), in which a small company with a small overhead starts a new promising but less profitable business (Christensen, Citation2006).

  • Partners-based BMs: support the creation of new endeavors in its supply-chain or participate as a tier in a larger value chain on I4.0 ecosystems (Benitez et al., Citation2020). Partner-based business demands specific mindsets regarding horizontal collaboration and new contractual and legal considerations (Ramalho et al., Citation2019) involving sharing projects, knowledge, resources, and tools, and is based on willingness and the ability to cooperate (Gamache et al., Citation2020).

4.2.5. Regulatory compliance and contractual relations

Regulatory compliance is the ‘governmental and institutional policies and procedures, standardization and security’ (Merkus et al., Citation2020). It includes labor regulations for I4.0, suitability of technological standards, intellectual property, implementation of the I4.0 roadmap, and available resources for realization (Akdil et al., Citation2018), including environmental context (Merkus et al., Citation2020).

Internationally, there are many variations in laws and norms for employment. Work-related contracts and standards are stressed in the I4.0 context (Kurt, Citation2019). Concurrently, new technologies allow several off-site work environments like a home office, virtual office, and AR office (Hecklau et al., Citation2017). These possibilities are technologically enabled, but a remaining challenge is to align these new work environments with the employment law, which runs on another velocity.

According to Badri et al. (Citation2021), in industrialized nations, Occupational Health and Safety (OHS) has been a growing concern in many businesses for at least two decades. Legislation, regulation, and standards have been developed to provide organizations with a framework for practicing accident and illness prevention and placing worker well-being at the center of production system design. However, the occurrence of several accidents continues to show that OHS performance evaluation is subject to interpretation. Over the years, many instruments have been developed to evaluate public and private organizations’ occupational health and safety status, wherever employees are exposed to the risk of work-related injury or illness. Such tools should also be capable of guiding the choice of preventive actions implemented and measuring the effectiveness of these choices.

(2) Human Factors (HF) are probably the major enabler of I4.0 (Schuh et al., Citation2016), since employees are, directly and indirectly, the driver of the success of the other elements. It includes ‘people … skills: a company’s crucial attributes’ or ‘how to hire and fire, motivate, train and educate … Going beyond the traditional considerations such as training, salary, performance feedback, and career opportunities’ (Merkus et al., Citation2020). With the rise of I4.0, employees will need to be empowered across all organizations and along the value chain to be agile and strategic in dealing with new challenges (Poba-Nzaou et al., Citation2020; Sivathanu & Pillai, Citation2018).

For Neumann and Dul (Citation2010), HF is ‘the scientific discipline concerned with the understanding of interactions among humans and other elements of a system … to optimize human wellbeing and overall system performance’. According to IEA Council 2000 (International Ergonomics Association), this definition of HF spans the physical, cognitive, and psychosocial interface between the operator and the production system. It is operationally defined as synonymous with the term ‘ergonomics’, which is sometimes seen as a narrower issue by those outside the discipline. HF differs from Human Resource Management (HRM) in that HRM focuses more on selecting and developing people to fit them into the system. In contrast, HF focuses on adapting the system design to fit it to the people (‘HF engineering’). In the 3D-CUBE Model, HF is treated as a basis for the human workforce sub-dimension and the production technology sub-dimension in the technology enabler. The human workforce includes ‘leadership’, ‘communication’, ‘training’, and a ‘culture of innovation’.

4.2.6. Leadership

Leadership is defined by a person’s process of guiding, orienting, and influencing a group of people to achieve a shared vision (Gamache et al., Citation2020). Any company can become smarter and closer to the I4.0 league. However, Organization and Management (OM) are often the obstacles to this development. Several MMs are introduced to assess the company’s maturity toward I4.0, and leadership and people are treated as organizational aspects (Ramingwong et al., Citation2019). It includes a willingness to lead and managerial competencies and methods (Akdil et al., Citation2018), besides motivating, developing, and directing people as they work (World Economic Forum, Citation2016).

4.2.7. Communication

Communication is the ‘ … effective exchange of ideas and a clear understanding of what it takes to ensure successful strategies, ensuring ongoing knowledge sharing across organizations’ (Merkus et al., Citation2020). Internal communication is a set of principles, actions, and practices designed to foster ownership, and cohesion, encourage everyone to communicate better, and promote joint work (Gamache et al., Citation2020). Vertical communication occurs between the hierarchical levels of the company, while horizontal communication occurs between different sectors at the same level.

Communication is probably the major concern regarding human resources in I4.0 (Zeller et al., Citation2018). Communication technologies alone are insufficient if people do not use them appropriately (Telukdarie et al., Citation2018) to gather data from customers and products, manufacturing, and logistics (Hecklau et al., Citation2017). While the different enterprise systems – such as Enterprise Resource Planning (ERP), Supply-Chain Management (SCM) systems, Management Information Systems (MIS), and Product Life cycle Management (PLM) – support their tasks very well, their data are often stored in separate databases and partly stored in different formats. This sub-optimal level of integration must be improved for implementing I4.0 business processes, so the information must be accessible and useable at the right time in the right ‘place’ along the entire supply-chain and for all business partners (Leyh et al., Citation2016).

4.2.8. Training

Continuous training enables people to handle new technologies, interpret data and understand its impact on the whole process (Pessl et al., Citation2017). I4.0 increasingly depends on highly qualified people who adapt to new business processes and respond quickly to competitive challenges (Hecklau et al., Citation2017). There is a need for new platforms for on-the-job training and personnel qualification (Vrchota et al., Citation2019). Talent management is the set of practices related to the acquisition, development, and promotion of an organization’s talents, such as training and development; succession management; career management; and compensation (Gamache et al., Citation2020).

4.2.9. Culture of innovation

Organizational culture is generally defined as a ‘complex set of values, beliefs, assumptions, and symbols that define how a firm conducts its business’ (Barney, Citation1986). Regarding I4.0, organizational culture is associated with people’s assumptions about the transformation shared across all hierarchical environments in the company (Schumacher et al., Citation2016). It is ‘a pattern of shared basic assumptions that was learned by a group as it solved its problems of external adaptation and internal integration, that has worked well enough to be considered valid … to new members as the correct way to perceive, think, and feel about those problems’ (Merkus et al., Citation2020). In the I4.0, the main characteristics of the culture of innovation are: ‘agility’ and ‘willingness to change’:

  • ‘Agility’: agile manufacturing is an organization’s ability to create value and delight its client while promoting and adapting – in time – to changes in its environment. ‘Agility’ refers to easier attending to customer changes, adapting to different contexts, or new and disruptive challenges imposed by competitors (Zeller et al., Citation2018).

  • ‘Willingness to change’: means that new endeavors must be faced bringing improvement opportunities for people in terms of work enrichment and personnel competencies (Mittal et al., Citation2018). If a company fosters a culture of change and establishes processes that value it, digital transformation efforts will be easily implemented.

The theoretical limits of the 3D-CUBE Model for organizational enablers (when the readiness vector is (x, 0, 0), where x = 1, 2, 3, 4, or 5) present a situation where a company focuses on organizational enablers but invests in few technologies and has not enough process maturity as required to accomplish I4.0 potentials.

4.2.10. Technological enablers

In the context of I4.0, the technological dimension is at the center of discussion (Schneider, Citation2018). The following sub-dimensions have been included:

  1. Production technology

  2. Information technology

(1) Production technology aims at supporting humans in their increasingly complex work context and is one of the most prominent research areas in I4.0 (Kadir et al., Citation2019). The ergonomic support can be digital or physical (Bücker et al., Citation2016) and can cover anthropomorphic skills, cognitive skills, and managerial skills (Iida & Buarque, Citation2016). A general discussion of employee safety is backgrounding in the ergonomic context of supporting technologies (Badri et al., Citation2021). Moreover, a discussion regarding the reliability of artificial intelligent objects in the production process, mainly for cognitive and managerial support must envelop this whole discussion. New technologies enable off-site manufacturing (Dilberoglu et al., Citation2017). The ‘production technology’ can be present in four areas: ‘anthropomorphic support systems’, ‘cognitive support systems’, ‘managerial support systems’, and ‘driving network production’.

4.2.11. Anthropomorphic support systems

A robot is an anthropomorphic support system once it allows increasing the productivity of human labor from the physical point of view. Anthropomorphic support (Falzon, Citation2007) implies an ample utilization of robotics along the value chain: manufacturing processes, as primary use-cases for support when there are anthropomorphic limits for humans (painting, forging, pressing, or welding), as well as assembly processes. Some logistic processes, such as material handling and picking, are also suitable for technological support (Gualtieri et al., Citation2021). In a CNC machine, you can change tools automatically and turn the machining shaft of the part without operator interference. These human factors elements belong to the production technology because the operator is part of the productive system (Iida & Buarque, Citation2016).

4.2.12. Cognitive support systems

Cognitive ergonomics deals with mental processes related to interactions between people and other system elements, such as perception, memory, reasoning, and motor response. Relevant topics include mental load, decision-making, human-computer interaction, stress, and training (Iida & Buarque, Citation2016). So, cognitive support systems, such as mobile apps, tablet-based interfaces, industrial panels, or AR/VR devices (Lanyi & Withers, Citation2020) are also ergonomic solutions applied to I4.0 processes (Iida & Buarque, Citation2016). The company must design the interfaces to help line workers, intermediate managers, and other employees. Intensive knowledge-based operations such as technical sales, after-sales services, maintenance, and scheduling are important application areas for cognitive support (Rauch et al., Citation2020). Cognitive work analysis is suggested to design well-structured jobs (Guerin et al., Citation2019).

4.2.13. Managerial support systems

Managerial support systems deal with the management tasks of all organizations (Iida & Buarque, Citation2016; Rauch et al., Citation2020). The managerial body needs simpler and highly focused information to permit fast decision-making. Top and middle managers have specific user requirements for their daily activities, weekly appointments, and tracking goals and metrics for the design of decision support systems.

4.2.14. Driving network production

The last element, ‘driving network production,’ comprises technologies like additive manufacturing, which enable not only the main manufacturer to produce the full product or parts of it, but various actors in the value chain by the concept of shared manufacturing (Yu et al., Citation2020), even the final consumer (Dilberoglu et al., Citation2017).

(2) Information technology is differentiated into the following elements: ‘data collection, analysis, interconnectivity, and transparency’, ‘information security’, and ‘decentralized decisions’.

4.2.15. Data collection, analysis, interconnectivity, and transparency

Data collection, analysis, interconnectivity, and transparency are operated in a business by acquiring, controlling, protecting, delivering, and improving the quality of the data and information assets. So, it can be broken down into three elements: collection, integrity (and quality), and data delivery.

Data collection means the data analysis, design, implementation, deployment, maintenance, and mechanisms for capturing and transferring data in an operating system (Merkus et al., Citation2020). Data quality means that the data provided to employees allows analysis and decision-making based on valid information. Data integrity represents activities that maintain the context, consistency, standardization, and sharing of accurate, up-to-date, and relevant information (Gamache et al., Citation2020).

Data analysis defines the transformation process from data into information. The degree of digitization and interdependence of production plants is increasing, directly resulting in an increasing amount of data. The literature describes data analysis along four levels: first, the descriptive analysis describes the evolvement from data to information. In the next step, cause-effect relationships are revealed by conducting a correlation analysis (diagnostic analysis). The predictive data analysis predicts future events by simulation methods. Last, prescriptive data analysis provides recommendations for action by optimization and simulation approaches. Within an I4.0 environment, a large and poly-structured amount of data is available and exceeds traditional analytic methods (‘Big Data’) which can be used for forecasting machine failures or optimizing the production planning process (Stich et al., Citation2017).

Interconnected company data implies ‘to enable real cross-domain and inter-company collaboration, [to make] context-aware data from production, development, and usage […], available in real-time, at a reasonable tier of granularity, and in a potentially global scale’ (Pennekamp et al., Citation2019). When it comes to interconnection, a company should be integrated horizontally and vertically to allow for a continuous exchange of data and information (Kagermann et al., Citation2013). The horizontal integration must go across the entire value chain. Indeed, a company needs an adequate data management system to support integration and allow all users access to the same data set (Zeller et al., Citation2018). The information must always be linked to the product, work, process instructions, and customer information (Zeller et al., Citation2018).

Through the collection of data from connected objects and people in real-time, information transparency is achieved. Linking this data to digitalized models makes it possible to create a virtual copy of the physical world. Hence, all objects and people access relevant data (Bücker et al., Citation2016).

4.2.16. Information security

Information security, or ‘cybersecurity’, can affect internal storage, cloud services, and inter and intra-enterprise communications. Cybersecurity includes developing, planning, and implementing security procedures to prevent breaches, information leaks, and piracy (Gamache et al., Citation2020). An Information Security Management System (ISMS), according to the ISO/IEC 27001, is the system to ‘ … establish, implement, operate, monitor, review, maintain and improve information security’. ISO/IEC 27001 defines the requirements and process for implementing an ISMS. However, implementing this standard without a detailed plan can burden organizations (Proença & Borbinha, Citation2018). The increasing integration of information systems, human factors, and other contributors bear the risk of criminal attacks. The potential damage these attacks can cause increases in proportion to the degree of integration. IT security encompasses different strategies for identifying and implementing security measures. Compliance with standards such as IEC-62443 can help contain the risks (Stich et al., Citation2017).

4.2.17. Decentralized decisions

Decentralized decisions refer to the possibility of making informed decisions as autonomously as possible by both systems and humans since they can access relevant data (Ibarra et al., Citation2018). Analytics is one of the main pillars of I4.0. Nowadays, it is clear that manufacturing companies have to learn to manage and use a large amount of data, once advanced analytics can transform these data into useful information (De Carolis et al., Citation2017).

The theoretical limits of the 3D-CUBE Model for technological enablers (when the readiness vector is (0, y, 0), where y = 1, 2, 3, 4, or 5) probably depict the most common empirical situation when applying the Model in real cases. It characterizes a situation where a company solely focuses on implementing new technologies in some areas but does not yet leverage the full technology potential. For instance, in Brazil, companies seek to connect to I4.0 through technological facilities. They want to introduce technology to reduce costs, especially labor. It turns out that the focus on technology usually delivers underutilized solutions. The company has, for example, an ERP SAP system with all possible modules, but people are not trained, do not know how to use the system, or have difficulty understanding the unfolding of the work in other areas. The organizational enablers and the process maturity are low, so the technology is underutilized. Therefore, its technology aspirations are not supported by its organizational enablers or its process maturity, which is displayed in the 3D-CUBE Model.

4.2.18. Process maturity

A process is ‘ … a set of structured activities and measures aimed at resulting in a product specified for a particular customer or market’ (Davenport, Citation1994). Three kinds of processes are present in companies: business processes, organizational processes, and managerial processes. Business processes connect customers to the company value chain, while organizational and managerial processes focus on decisions regarding the company’s resources. Organizational and managerial processes are treated in 3D-CUBE as organizational enablers. To analyze maturity, we focus on the value under the concept of the product life cycle, Simetinger and Zhang (Citation2020), including product development, process development, procurement, and manufacturing.

In the 3D-CUBE, the procedural views found in Zeller et al. (Citation2018), Agca et al. (Citation2017), and De Carolis et al. (Citation2017) are considered for the process maturity evaluation in the value chain, similar to CMMI. Therefore, it includes two main processes:

  1. Product-service development

  2. Order fulfillment

(1) Product-service-based development addresses the effort to meet customer requirements based on customization, product-service systems, and shared manufacturing (Tukker & Tischner, Citation2006; Yu et al., Citation2020; Li et al., Citation2019), and implies a simultaneous development of products and services (Kaltenbach et al., Citation2018). The six levels follow similar reasoning as stated for the previously discussed sub-dimensions. This sub-dimension comprises the following elements: ‘cross-company engineering, research, and development’, ‘customer-based new product development’, and ‘supply-chain development’.

4.2.19. Cross-company engineering, research, and development

‘Cross-company engineering, research, and development’ implies an innovation process integrated horizontally and vertically (Durakbasa et al., Citation2019). Interdepartmental integration in NPD projects comes from concurrent engineering discussions in the nineties (Patil et al., Citation2019). Today, a company must be innovation-driven, which means every department must be involved to provide ideas regarding new products or businesses (Schneider, Citation2018).

4.2.20. Customer-based NPD

Customer-based NPD is a customer-centered approach (Norman, Citation1988) that puts the client at the center of the NPD effort in digital servitization BMs (Kohtamäkia et al., Citation2019). In doing this, new products will take a form of a co-created design, partly with physical products but also as value-added services in IT platforms and VR/AR (Miranda et al., Citation2019). IT/cloud-based tools result from technological enablers in I4.0, which can directly connect customers to companies (Müller et al., Citation2018). Every company can use these connections to explore new business opportunities, even if they are not directly linked to its core business. Knowledge creation and management are essential issues here (Dragicevic et al., Citation2020), as well as the use of ‘Big Data’ (Lee, Citation2018) and cloud computing (Wu et al., Citation2020). Customer experience represents the efforts to provide more than one product to the customer in terms of design, associated service, and communication throughout the product lifecycle. It includes co-creation and open innovation, which represents using partners or crowds to develop new products and processes (Gamache et al., Citation2020).

4.2.21. Supply-chain development

Supply-chain development is centered on optimizing a value chain’s efficiency to increase its profitability (Winkelhaus & Grosse, Citation2020). Procurement, as well as stocks in the supplier, have to be synchronized. Only then a ‘one-piece flow’ inside a manufacturing plant is achievable (Valamede & Akkari, Citation2020). According to Barbalho and Rozenfeld (Citation2013), the supply-chain design is architected into the NPD process. It includes the development of the manufacturing, assembly, supply, and distribution structures. So, production design and supply-chain consist of the activities related to ‘process engineering’ and the design and development of the manufacturing structure necessary to introduce the product into the company’s production line.

(2) The order fulfillment sub-dimension integrates the entire manufacturing process, from production to product delivery (Vollmann et al., Citation2005). Production is the main value-adding chain inside a manufacturing company and has been the primary focus of I4.0 MMs (Zeller et al., Citation2018). However, in the new technological context, logistics are also to be integrated (Winkelhaus & Grosse, Citation2020). Business logistics was born with a vision of integration. In this case, it means there would be greater possibilities of integration without needing so many specialized systems using step technologies or others. Furthermore, in an I4.0 approach, an international player must plan long, medium, short, and last-mile terms for product delivery (Rauch et al., Citation2020). It is subdivided into a ‘customized-based production system’, ‘sales and operations integration’, and a ‘smart quality management system’.

4.2.22. Customized-based production system

A customized-based production system has been a long-term goal for process improvement activities. Customization means offering the customer an individual approach that meets specific needs (Gamache et al., Citation2020). New IT solutions, robotics, IoT, and smart architectures of cyber-physical systems enable production customization and small batches (Valamede & Akkari, Citation2020). Consequently, the whole production planning, resource planning, and the shop floor can be re-aligned to customized production. Using data and information technology enables the development of new BMs and creates new value for the customer.

4.2.23. Sales and operations integration

Sales and operations integration covers the traditional sales and operations planning of the main operations management literature (Vollmann et al., Citation2005), such as marketing and customer feedback. Still, it can be improved and highlighted by I4.0 technologies (Kotler & Keller, Citation2009; Vaz et al., Citation2019). First, the medium-term planning horizons can be shorter to reduce inventory and manufacturing costs. Secondly, new technologies can bring more agility to sales and operations decisions, gathering current data, enabling better communication, and supporting the decision-making processes. As in other integrative demanding areas, people must be aware of the integration’s effectiveness (Hecklau et al., Citation2017). The degree of integration of an operations network, in general, can be measured by the number of connections between two companies.

4.2.24. Smart quality management system

Quality management considers that increased product quality is achieved through real-time monitoring and continuous optimization (characteristic of the smart factory). Enhanced predictive and detective approaches allow quality defects to be spotted sooner than later. In addition, the system can facilitate the identification of the root causes of defects, whether human, machine or environmental. Interviewees cited the benefits of lower scrap rates and reduced incidence of product defects and recall (Sjödin et al., Citation2018).

The theoretical limits of the 3D-CUBE Model for process maturity enablers (when the readiness vector is (0, 0, z), where z = 1, 2, 3, 4, or 5) is also a hypothetical case in which a company has more emphasis on process maturity than on organizational or technological enablers. It works effectively with partners along the supply-chain, its order fulfillment is integrated, its NPD involves customers and happens throughout a company’s departments, and its sales and operations interfaces work harmonically. However, it does not have top management support for an I4.0 transformation, people are averse to change, and no investments are made in new technologies.

5. Methodology of readiness vector calculation

The 3D-CUBE was built in the form that a company readiness evaluation can be done by self-assessment or interview using the questionnaire available in Appendix B. It can help the analyst build propositions for the most suitable improvements because once a determined level is detected for a model element, the description of the next level will give guidelines for process improvement.

In 3D-CUBE Model, the company evaluation focuses firstly on each element. So, the elements are evaluated and receive a score from 0 to 5. Each sub-dimension will receive the same score from its respective element that has obtained the lowest score, i.e. the scores of all elements of a specific sub-dimension will be compared, and the lowest score found will be the sub-dimension score. The same logic applies from the subdimension to its respective dimension score.

So:

R = READINESS = [0, 5]

X = the lower value between (X1, X2)

Y = the lower value between (Y1, Y2)

Z = the lower value between (Z1, Z2)

Where: X1, X2, Y1, Y2, Z1, Z2 = [0, 5]

So, for each subdimension (X1, X2, Y1, Y2, Z1, Z2), the evaluation includes its elements:

X1 = the lower value between (X11, X12, X13, X14)

X2 = the lower value between (X21, X22, X23, X24)

Y1 = the lower value between (Y11, Y12, Y13, Y14)

Y2 = the lower value between (Y21, Y22, Y23)

Z1 = the lower value between (Z11, Z12, Z13)

Z2 = the lower value between (Z21, Z22, Z23)

Where: X11, X12, X13, X14, X21, X22, X23, X24, Y11, Y12, Y13, Y14, Y21, Y22, Y23, Z11, Z12, Z13, Z21, Z22, Z23 = [0, 5]

As the 3D-CUBE has three dimensions, that is, three enablers, the company’s final score will be a 3D vector, according to .

Table 2. Readiness vector matrix (source: Author).

As mentioned, in 3D-CUBE, there was a ‘3D-CUBE Questionnaire’ with 21 main questions to evaluate each element (Appendix B). Based on these answers, each element will receive a score. Therefore, the company will have a final vector score (X,Y,Z), which is its final result about the readiness for I4.0.

Once there is a difficult-to-understand tri-dimensional vector, our internet-based questionnaire will present a radar chart as a report (see, ), allowing a more in-depth analysis of possible improvements to be implemented. Lastly, the Model’s elements can be evaluated and offer even deeper analysis and suitable improvement solutions. The radar charts are associated with the theoretical limits presented at the end of the description of each dimension.

Figure 5. Analyzing the sub-dimensions of the 3D-CUBE model. source: authors.

Figure 5. Analyzing the sub-dimensions of the 3D-CUBE model. source: authors.

In this example, there are four graphics: in the first one, the company only focus on technological enabler, not investing in the two others. It also happens for graphics 2 and 3, in which the company focuses on organizational enablers and process maturity, respectively. The last graph is a typical evaluation, where many companies fit in, considering investments in several areas with different readiness levels.

6. Discussion and conclusion

This article proposes the 3D-CUBE, a Readiness Model for Industry 4.0 built by sound theoretical and empirical effort. The systematic literature review was performed with a specific 8-Steps Search Flow. It made it possible to select information from 486 relevant studies found in 10 databases, considering 63 existing MMs and all the scientific literature on this subject worldwide. The final purpose was to build a feasible MM to compare Brazilian and German companies in the I4.0 landscape.

The 3D-CUBE is elaborated, with 3 dimensions (X = Organizational Enabler, Y = Technological Enabler, and Z = Process Maturity Enabler), 6 sub-dimensions, and 21 elements, including a scale of 0 to 5 to assess the company readiness level.

The Model was applied in two situations. The first was a practical application in a manufacturing company that produces metal-based components for civil construction. In this case, a manager well-familiarized with Industry 4.0 concepts answered the whole questionnaire and was asked to give feedback regarding her perception of the concepts of maturity, readiness, and the whole Model. Moreover, a report was sent to the company. A follow-up is happening with new visits to its site and a discussion about the demanded improvements to reinforce the company’s readiness for Industry 4.0. In general, this application brought about changes in the sub-dimensions of maturity analysis.

In the sequence, the second scrutiny was an expert validation. To do it, the whole Model was presented to a set of professors from Brazil and Germany, and they gave feedback and suggested better clarity on some issues. Propositions PROP 1 and PROP 2 were discussed and consensued by the set of researchers. The version presented in this paper is based on these contributions.

As a practical contribution, it can be suggested that the 3D-CUBE overcame the flaws of the analyzed models. It was built to be practically applied in companies. It presents an easy application form, provides a practical and complete methodology for data collection (survey), calculating a tri-dimensional readiness vector R = (X,Y,Z), that results in a value for future comparison, and allows analyzing the readiness level of companies, showing a radar chart for easy understanding of its improvement profiles. The questionnaire provides an easy way of seeing what can be done to increase the company’s readiness for Industry 4.0.

As a theoretical contribution, based on the existing MM’s shortcoming, 3D-CUBE contributes to this research stream with dimensions, subdimensions, elements, enablers, and granularity levels, defined and structured in an unprecedented way, besides considering, for the first time, maturity as an ‘input’ enabler for the company readiness evaluation, and not as an ‘output’ like in all existing other models (PROP 2). The Model conceptualizes maturity as an input dimension to evaluate readiness. This statement can be used as a hypothesis for a large set of research, from practitioners’ perceptions to qualitative reflections from empirical data gathered in companies. What maturity means in practice? What does ‘to be ready’ mean? What do these concepts mean in real situations in Industry 4.0 and other kinds of improvement programs?

To go on in the validation and application of 3D-CUBE, we made propositions about the main model assumptions in search of contributing to understanding these relationships between maturity and readiness for I4.0 (PROP 1 and PROP 2). We also refer to it as the theoretical limits of the 3D-CUBE. The first two propositions already have an expert validation, but we would like to stress this understanding with numerous sets of experts from Brazil and Germany. Regarding the empirical validation, we expect to find numerous situations in which the technological dimension of the Model is dominant. It will probably be the case for most Brazilian companies, which need to build the appropriate organizational enablers in an economic crisis and find that technological enablers are paths to reducing labor hours. German companies might have a stronger balance among technological and organizational enablers. A strict focus on maturity would probably be the least common profile. An interview-based protocol will stress this issue in future works when this Model will also be longitudinally applied in some companies to test its application as an improvement tool. A 3D-CUBE Roadmap will be developed to guide strategies, based on the 3D-CUBE Questionnaire results, to improve their readiness through the digital transformation context.

The 3D-CUBE has some limitations. The Model was mainly built by deduction from the literature analysis and observation of the current business environment in Brazil and Germany. Although it was tried in a company and submitted to specialist feedback, it has few falsifiability tests and is strongly based on deductive thinking. Consequently, as the majority of current MMs for I4.0, most of its dimensions, sub-dimensions, and elements can be seen as a hypothesis. Specific research protocols can be built to stress the Model on real-based situations to test specific concepts. For example, a research protocol can explore the relations between product-service development and order fulfillment for a specific company. Are these processes enough to characterize process maturity? And, how deep is the influence of technology enablers on them? Is there an input-output relation between organizational and technological enablers and process maturity? Only empirical data can help us to answer some questions. Building a model as the 3D-CUBE in a so untimely historical moment brought to the research team many questions. Only specific protocols can help to clarify all the elements mixed in the Model. A focus group with industry experts is planned to evaluate the appropriateness of the granularity of the 3D-CUBE Model’s dimensions, sub-dimensions, and elements.

The Model has another limit by focusing on manufacturing companies. Therefore, its applicability is limited to these companies, and the transferability to other industries is not yet addressed. Once I4.0 is outside the limits of the manufacturing industry and impacts from agriculture to services in general, accurate analysis and tailoring must be done before trying to implement 3D-CUBE in these sectors. That is a question to be addressed in future research.

Moreover, the questionnaire will be published in an internet-based form to get anonymous feedback once it is built to allow self-assessment. Future research can evaluate the applicability of 3D-CUBE in this open-access format. Possibilities of cross-checking among an internet-based filling, and presential-based application, can be interesting to understand possible differences in model dimensions, sub-dimensions, and elements. Furthermore, the Model was built thinking on our best knowledge of technology trends, but how can new frontiers such as nanotechnology or quantic computing impact the landscape of process improvements in the industry? Future research can wonder around these expectations, and 3D-CUBE is a sound framework to exploit them.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The researchers thank the National Council for Scientific and Technological Development that through the Technological and Industrial Development Program, encouraged researchers with the Technological Development and Innovative Extension Grant (DT-2), process 306083/2021-3, allowing the execution of this research.

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Appendix A:

Analysis of 63 MMs, Source: authors

Appendix B:

3D-CUBE Questionnaire (source: authors)