Development of closed-loop supply chain mathematical model (cost-benefit-environmental effects) under uncertainty conditions by approach of genetic algorithm

Subject Areas : Financial and Economic Modelling

Sadegh  Feizollahi ¹ (Department of Industrial Management, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran.)
Heresh  Soltanpanah ² (Department of Management, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran.|Department of Management, Sanandaj Branch, Islamic Azad University, Sanandaj, Iran.)
Ayub  Rahimzadeh ³ (Department of Industrial Management, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran.|Department of Industrial Engineering, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran.)

Received: 2019-03-09 Accepted : 2019-05-31 Published : 2021-04-01

Keywords: Multi-objective planning, NSGA-II algorithm, Closed loop supply chain Unreliability,

Abstract :

In the current world, the debate on the reinstatement and reuse of consumer prod-ucts has become particularly important. Since the supply chain of the closed loop is not only a forward flow but also a reverse one; therefore, companies creating integ-rity between direct and reverse supply chain are successful. The purpose of this study is to develop a new mathematical model for closed loop supply chain net-work. In the real world the demand and the maximum capacity offered by the sup-plier are uncertain which in this model; the fuzzy theory discussion was used to cover the uncertainty of the mentioned variables. The objective functions of the model include minimizing costs, increasing revenues of recycling products, increas-ing cost saving from recycling and environmental impacts. According to the NP-hard, an efficient algorithm was suggested based on the genetic Meta heuristic algo-rithm to solve it. Twelve numerical problems were defined and solved using the NSGA-II algorithm to validate the model

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