A multi-objective stochastic programming model for low carbon closed-loop supply chain network design

Abstract

Using closed-loop supply chain network programming design to control carbon emissions is an important way that develop sustainable and environmentally conscious supply chains. This paper propose a multi-objective stochastic programming model to cope with the strategic location and configuration problem of closed-loop supply chain. Besides the traditional profit maximization objective, the proposed model took the minimization of carbon emissions into consideration, and made a fair balance between them. Some parameters, such as customers demand and end of life product quantity, products sale price, production costs, operating costs, collection costs, disposal costs, etc. in this model are uncertain, therefore, a finite number of the possible scenarios was used to describe it. While it is a way to create more flexibility and real-world condition to use the uncertainty of parameters and multi-objective tradeoff. The e-constraint method is applied to solve the proposed multi-objective model. Last a numerical example is tested and showed the stochastic model can reduce the uncertainty of parameters.