Optimal production and non-periodic maintenance plan for a degrading serial production system with uncertain demand

Abstract

Over the past few decades, economic globalisation has intensified the competition among international enterprises. So, firms are working hard to improve their performances to stay competitive in markets. In the industrial domain, firms are continuously looking for the improvement of their production systems’ availability and the optimisation of production planning to assure the satisfaction of a random demand. Therefore, joint maintenance and production optimisation have been receiving increasing attention from researchers and firms. This study deals with joint nonperiodic preventive maintenance and production planning optimisation with regard to a manufacturing system composed of several machines mounted in series. The relationship between failure rate and production is considered to indicate the influence of variation of the production rate on the failure rate along with the average number of failures. The non-periodic preventive maintenance with respect to the production planning is proposed, to assure the continuity of the machines’ reliability by minimising the failures. In this paper, a mixed-integer-linear programme is developed to jointly find the optimal planning of integrated non-periodic preventive maintenance to production by minimising the total cost. Experimental results are presented to study the impact of the failure rate threshold on the number and periods of preventive maintenance actions.

KEYWORDS:

• Production planning
• non-periodic preventive maintenance
• failure-rate
• serial machines
• MILP

Disclosure statement

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

Notes on contributions

In this work, we have proposed a novel model that considers the integrated maintenance and production problem in case of multi-machines manufacturing system under uncertain demand. The present work brings another contribution by using an exact techniques called mixed integer linear programming formulation (MILP) to solve integrated production planning and maintenance scheduling problem in the case of serial multi-machine production system under uncertain demand.

Data availability statement

In this section, we expose the data and information that used to provide the experimental results (section 4).

The results are obtained by developing in CPLEX software an appropriate code to our system (MILP). We solved the proposed MILP using CPLEX 12.8.0 on a laptop with Intel(R) Core(TM) i3-6006U CPU @2.00 GHz processor and 3,87 Go of usable RAM. We use the following table to provide the instructions on how to reproduce the results in the figures/tables of the paper.

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