A Fuzzy Multi-Objective Mathematical Programming Model for a Closed-loop Supply Chain Network Design by Considering Environmental Factors

Subject Areas : Sustainable Development

Mohammad Reza Fathi ¹ ( Assistant Professor, Department of Management and Accounting, College of Farabi, University of Tehran, Qom, Iran *(Correspondence Author) )
Ahamad Jafarnejad Chaghooshi ² ( Professor, Department of Management, University of Tehran, Iran )
hossein safari ³ ( - Professor, Department of Management, University of Tehran, Iran )
Adel Azar ⁴ ( Professor, Department of Management & Economic, Tarbiat Modares University, Iran )

Received: 2016-08-13 Accepted : 2016-10-25 Published : 2019-10-23

Keywords: design of supply chain network, Mathematical Programming, Closed-loop, Uncertainty,

Abstract :

Background and Objective:Most of industries in terms of production rules, environmental concerns and economic interests are under pressure. A supply chain model is a network of facilities and activities which involve processes related to procurement of materials from suppliers, production and product development in production centers and distribution of consumer products in final destination. Long-term strategic decisions such as construction of facilities in the network need financial assets and optimal program. Issue of designing a supply chain network has attracted lots of attention of many researchers during the recent years. The main objective of this paper is to present a mathematical programming model that seeks to minimize the environmental impact in a closed-loop supply chain. Method:Researcher through library research and preparing a questionnaire to estimate parameters and data associated with the uncertainty of parameters and then through interviews, expert opinions about the limits and changes to the decision-making parameters have been collected. Then a fuzzy multi-objective mixed integer programming model is presented that model to minimize costs, minimize environmental impact and minimize the time of delivery of product. Findings: After running the model, increasing objective function is to minimize the total cost, minimize environmental impact and minimizing the time the product reaches the customer contact temperature limits for different values were obtained. These values using Epsilon limitations in the software GAMS obtained. Discussion and Conclusion: In this study, the proposed mathematical programming model is solved with an exact solution. The results showed the location and facility capacity and output in the manufacturing centers are determined.

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