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Abstract
In this research, a new mixed-integer linear programming (MILP) formulation for the production-distribution-routing problem is developed in a sustainable agricultural product supply chain network (SAPSCN) considering CO2 emission. The objective functions of the SAPSCN model seek to minimise the economic effects containing total cost in SAPSCN and environmental impacts including production and operation emissions, water consumption in production, operational water consumption, and transportation emission, as well as to maximise social impacts including on the number of the created works. Due to the complexity and NP-hardness of the SAPSCN formulation, four multi-objective meta-heuristic algorithms were applied, and two new hybrid meta-heuristic algorithms were developed. To assess the efficiency of the suggested meta-heuristic algorithms, various test instances were used to solve the proposed model and comparisons and sensitivity analyses were carried out with various criteria. A real case study is provided to validate the mathematical model. Finally, the results of the hybrid simulated annealing and particle swarm optimisation algorithm emphasises that it is more robust than other proposed algorithms to solve the problem in a reasonable time.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Data availability statement
Data available on request authors
Additional information
Notes on contributors
Fariba Goodarzian
Dr. Fariba Goodarzian is a Postdoc at the Machine Intelligence Research Labs (MIR Labs), Scientific Network for Innovation and Research Excellence, Washington, D.C., United States, and the University of Tehran, Department of Industrial Engineering, Tehran, Iran. She earned her Ph. D. degree in Industrial Engineering from Yazd University, Yazd, Iran from 2017 to 2020, M. Sc. degree in Industrial Engineering from the University of Science and Technology of Mazandaran, Behshar from 2014 to 2016, and also she graduated B. Sc. degree in Industrial Engineering from Mazandaran University of Science and Technology, Babol from 2020 to 2014. Her publications are in Applied Soft Computing, Applied Mathematical Modeling, Engineering Applications and Artificial Intelligence, Journal of Computational Design and Engineering, Computers and Industrial Engineering, Applied Intelligence, Journal of Cleaner Production, Annals of Operations Research, Soft Computing, RAIRO-Operations Research, International Journal of Systems Science: Operations & Logistics, International Journal of Logistics Management, etc. Her main research interests are in the area of Supply Chain Management, Health Care Management, Network Design, Big Data Analytics, Uncertainty Programming, exact methods as well as proposing novel heuristic methods and metaheuristic algorithms.
Davood Shishebori
Dr. Davood Shishebori is an associate professor of Industrial Engineering Department at Yazd University. Also, he is the director of quality and productivity research centre in Yazd University. Dr. Shishebori works in a stochastic optimisation and risk management, especially for supply chain management and logistics, applied to various real-world problems. Another research area is quality control and productivity management. In these areas, he has authored/coauthored more than 50+ research publications. His main highlighted publications are in Computers and Industrial Engineering, European Journal of Industrial Engineering, Transportation Research: Part E, Journal of Manufacturing Systems, Journal of Ambient Intelligence and Humanized Computing, RAIRO-Operations Research, International Journal of Systems Science: Operations & Logistics, Journal of Cleaner Production, International Journal of Logistics Management, etc. Dr. Shishebori received Ph.D. degree from Iran University of Science and Technology (IUST), Tehran, Iran (2013); Ph.D. Sabbatical course in Lehigh University, USA (2012), a Master of Science Degree from Isfahan University of Technology (IUT), Isfahan, Iran (2008), and bachelor degree in Yazd University, Yazd, Iran (2005).
Farzad Bahrami
Dr. Farzad Bahrami is an assistant professor of Industrial Management Department in the Faculty of Administrative Sciences & Economics at Arak University. He has been the senior advisor of well-known Iranian companies in the area of hub location and allocation, supply chain network design and truck routing. As the commercial manager of the Ofoq Kourosh chain stores, the largest online and brick-and-mortar Iranian discount chain stores, he has led an elite and result-oriented team to work on many related subject areas such as payment optimisation, category optimisation, budgeting, demand forecasting, pricing, assortment planning, shelf space optimisation and planogram design with data science and machine learning methods. Dr. Bahrami’s main competence is linear and non-linear mathematical modelling of all kinds of problems which companies encounter in real word. His interest is in developing novel heuristics and meta-heuristics methods to solve the proposed mathematical models. In these areas, he has authored/coauthored more than 10+ unclassified research publications. Dr. Bahrami received Ph.D. degree in Industrial Management from Tehran University (UT), Tehran, Iran (2016) and a Master of Science Degree in Industrial Engineering from Isfahan University of Technology (IUT), Isfahan, Iran (2007).
Ajith Abraham
Prof. Ajith Abraham is the Director of Machine Intelligence Research Labs (MIR Labs), a Not-for-Profit Scientific Network for Innovation and Research Excellence connecting Industry and Academia. The Network with HQ in Seattle, USA has currently more than 1000 scientific members from over 100 countries. As an Investigator/Co-Investigator, he has won research grants worth over 100+ Million US$ from Australia, USA, EU, Italy, Czech Republic, France, Malaysia and China. Dr. Abraham works in a multi-disciplinary environment involving machine intelligence, cyber-physical systems, Internet of things, network security, sensor networks, Web intelligence, Web services, data mining and applied to various real-world problems. In these areas he has authored/coauthored more than 1400+ research publications out of which there are 100+ books covering various aspects of computer science. One of his books was translated to Japanese and a few other articles were translated to Russian and Chinese. About 1200+ publications are indexed by Scopus and over 1000+ are indexed by Thomson ISI Web of Science. Some of the articles are available in the Science Direct Top 25 hottest articles. He has 1100+ co-authors originating from 40+ countries. Dr. Abraham has more than 43,000+ academic citations (h-index of 97 as per google scholar). He has given more than 150 plenary lectures and conference tutorials (in 20+ countries). For his research, he has won seven best paper awards at prestigious International conferences held in Belgium, Canada Bahrain, Czech Republic, China and India. Since 2008, Dr. Abraham is the Chair of IEEE Systems Man and Cybernetics Society Technical Committee on Soft Computing (which has over 200+ members) and served as a Distinguished Lecturer of IEEE Computer Society representing Europe (2011-2013). Currently, Dr. Abraham is the Editor-in-Chief of Engineering Applications of Artificial Intelligence (EAAI) and serves/served the editorial board of over 15 International Journals indexed by Thomson ISI. He is actively involved in the organisation of several academic conferences, and some of them are now annual events. Dr. Abraham received Ph.D. degree in Computer Science from Monash University, Melbourne, Australia (2001) and a Master of Science Degree from Nanyang Technological University, Singapore (1998).
Andrea Appolloni
Dr. Andrea Appolloni is Professor in Operations Management and Sustainability at Tor Vergata University in Rome, Italy. In the same university, he completed his Ph.D in Business Administration. He is a permanent visiting fellow at Cranfield University (UK) and Research Associate at the Italian Research Council. His teaching areas focused on operations, supply chain and procurement management and sustainability courses at undergraduate and executive levels. He was visiting several universities in the last few years. He has published and presented articles in several international journals and conferences. He is the coordinator of the European Project Marie Curie Hosrizon 2020 on Sustainable Public Procurement. He is an expert member in Sustainability at the Global SCP. Clearinghouse is a unique one-stop hub dedicated to Sustainable Consumption and Production (SCP) and he is part of the10 Year Framework of Programmes on SCP (10YFP on SCP), convened by the United Nations Environment Programme (UNEP). He was a visiting scholar at Tianjin University (China), at the University of Tennessee in Knoxville (USA) and ETH Zurich (CH).