Sustainable supplier selection and order allocation with modified benders decomposition

Supplier selection is an important decision in the management of a supply chain that is depends on various factors and parameters. Recent emphasis on sustainability in supply chain management has made this selection more complex. Many tools have been developed with a variety of formal modeling techniques. These techniques may be limited for a variety of reasons. An integrated Sustainable supplier selection and order allocation model is discussed in this paper to apply sustainability attributes in supplier selection and develop a bilinear goal programming model for integrated order allocation model. Bilinearity in goal programming is handled with a modified Benders decomposition method and numerical results shows the efficiency of the proposed model. Implications of the model and future research directions conclude the paper