sustainable supplier selection and order allocation based on stochastic programming and dynamic programming

In recent years, supplier selection (ss) has been one of the fundamental issues in the supply chain(sc). sustainable suppliers are selected based on the quantitative and qualitative evaluation of economic,environmental, and social studies. this paper examines sustainable ss and order allocation (oa) for a singleproduct in a multistage setting. to model the problem, in the first step, the best-worst method (bwm) is usedto determine the weights of the sustainability criteria. then, given the uncertainty of personal judgment,evidential reasoning (er) is used to evaluate suppliers. suppliers are also compared based on the minimumand maximum utility function in case of lack of information. in the next step, a model is designed to optimizesuppliers’ total purchase value (tvp) and optimize total purchase cost (tcp). demand is assumed to berandom. this assumption leads to a set of scenarios based on the time horizon. to solve the model, a dynamicprogramming (dp) is presented. finally, a case study is given to detail the methodology.