A multi-objective mixed-integer stochastic programming model for the vendor selection problem under multi-product purchases

This paper develops a multiple objective mixed integer stochastic programming model for the vendor selection problem (VSP) with stochastic demand under multi-products purchases. According to the special structure of the model, we propose a three-step solution strategy. At first, the multi-objective stochastic mixed-integer programming (SMIP) model is converted into a multi-objective MIP model by transforming stochastic constraints into deterministic equivalents. Then, a weighted fuzzy multi-objectives mixed integer programming (MIP) model, which indicates decision makers' preference and objective fuzziness, is decomposed into several single-objective MIP models through the maximum satisfaction degree method. Finally, the optimal solution for the SMIP is derived based on getting the membership function of every fuzzy objective. A numerical example shows the feasibility and effectiveness of the proposed solution strategy.

[1]  Manoj Kumar,et al.  A fuzzy goal programming approach for vendor selection problem in a supply chain , 2004, Comput. Ind. Eng..

[2]  Steven A. Melnyk,et al.  Applying environmental criteria to supplier assessment: A study in the application of the Analytical Hierarchy Process , 2002, Eur. J. Oper. Res..

[3]  J. Ignizio,et al.  Fuzzy programming with nonlinear membership functions: piecewise linear approximation , 1991 .

[4]  Chinyao Low,et al.  Supplier evaluation and selection using Taguchi loss functions , 2005 .

[5]  Sang-Chan Park,et al.  An effective supplier selection method for constructing a competitive supply-relationship , 2005, Expert Syst. Appl..

[6]  Raja G. Kasilingam,et al.  Selection of vendors—a mixed-integer programming approach , 1996 .

[7]  Manoj Kumar,et al.  A fuzzy programming approach for vendor selection problem in a supply chain , 2006 .

[8]  Zhen Gao,et al.  A multi-objective model for purchasing of bulk raw materials of a large-scale integrated steel plant , 2003 .

[9]  Fong-Yuen Ding,et al.  Using data envelopment analysis to compare suppliers for supplier selection and performance improvement , 2000 .

[10]  W. C. Benton,et al.  Supplier Selection and Order Quantity Allocation: A Comprehensive Model , 1999 .

[11]  Richard Bellman,et al.  Decision-making in fuzzy environment , 2012 .

[12]  Liu Xiao,et al.  A Survey of Supplier Selection Models and Approaches , 2004 .

[13]  W. C. Benton,et al.  Vendor selection criteria and methods , 1991 .