关键词: 供应商选择, 多产品采购, 随机需求, 价格折扣 , 多目标混合整数随机规划

Abstract: In order to solve the Vendor Selection Problem (VSP) with stochastic demand and price discount under multi-products purchases, a multi-objective mixed-integer stochastic programming model was constructed. The proposed model had the following characteristics: constraints of model with both deterministic and stochastic characteristics, and the assumption of stochastic demand and price discount were expressed by constraint equations. According to the special features of the model, an applicable solution strategy was proposed, which involved three steps: (1) by means of transforming stochastic constraints into deterministic equivalents, the multi-objective mixed-integer stochastic programming model was converted into a multi-objective mixed-integer programming model, (2) a weighted fuzzy multi-objectives mixed-integer programming model, which represented decision makers preference and objective fuzziness, was decomposed into several single-objective mixed-integer programming models through maximum satisfaction degree method, and (3) the optimal solution for VSP was derived based on getting membership function of each fuzzy objective. An application example was also given to testify the feasibility and effectiveness of the proposed method.

Key words: vendor selection, multi-product purchase, stochastic demand, price discount, multi-objective mixed-integer stochastic programming