proposing multi-objective mathematical model for design of multiproduct forward and reverse logistics network

The attestation towards environmental, statutory obligations and economic interests arising from rehabilitation operations in recent years has led to more focus on reverse logistics operations. to this end, integration of the design of reverse and forward logistics networks which results in prevention of sub optimality due to separated design of these networks is of high significance. this model discusses a mixed-integer nonlinear programming model for the integrated design of multi-level and multi-commodity forward-reverse supply chain network. in the end, the calculation results of the proposed model solution have been presented via gams software in order to locate facilities, determine the relationship between facilities and raw material procurement rate and production rate. the result of the solved multi-purpose models has corroborated the single-purpose models and it shows the efficiency of the used methods.