A bi-objective mixed integer programming model for the design of closed-loop supply chain considering environmental issues

Nowadays, due to increase of environmental hazards and legislation in this context by governments and also restriction of manufacturing resources, researchers paid special attention to the design of closed-loop green supply chain network. To establish better coordination between the components of the supply chain and gain more profits in the network, special decisions are requiring during the product lifecycle. In this paper, we try to deal with the environmental issues presented in the design of CLSC networks. The closed loop, networkwhich ispresented in this paper consists of three echelons in the forward chain and three echelons in the backward chain. To consider the environmental issues in the proposed CLSC network, we formulate a bi-objective mixed integer linear programming (BOMILP) problem. The first objective function aims to maximize profit earned from supply chain network and the second objective function considers environmental issues through minimizing number of vehicles used in supply chain network. Finally, the proposed model is solved as a single-objective mixed integer programming model applying the LP-metrics method.

کلیدواژه ها:

Closed-loop supply chain ، Green supply chain ، Wastmanagement ، Lp-metric