Somayeh Baziari - Department of Industrial Engineering, Mazandaran University of Technology, Babol, Iran
Abdul Satar Safaei - Department of Industrial Engineering, Babol Noshirvani University of Technology, Babol, Iran
Ramzan Nemati keshteli - Department of Industrial Engineering, Faculty of Engineering- East Guilan, University of Guilan, Rasht, Iran

Imposition of strict environmental protection acts and the imperative need of best possible allocation of resources have given birth to the concept of low carbon logistics . Environmental laws force the manufacturers to extend their existing supply chains to form a closed loop supply chain (CLSC) through the setup of an efficient recovery system. In this paper, we design a CLSC network to deal with environmental issues. The proposed CLSC network consists of three layers includes manufacturing plant, distribution center, and delivery point in the forward chain and four layers includes collection center, repair center, recycle center and disposal center in the backward chain. The main objective is to maximize profit and provide waste management decision support in order to minimize pollution. To consider the environmental issues in the proposed CLSC network, we formulate a multi-objective mixed integer nonlinear programming model. We used the LP-Metric method to solve proposed model. This model determines the optimal flow of parts and products in the CLSC network and number of vehicles used in supply chain network. Low solving time of several numerical examples implies that proposed model is applicable in real cases.

Low carbon logistics; Closed loop supply chain; Network design; Reverse logistics