Multiobjective Interaction Programming Problem with Interaction Constraint for Two Players

作者：Jiang, Min^*; Meng, Zhiqing; Xu, Xinsheng; Shen, Rui; Zhou, Gengui

来源：Mathematical Problems in Engineering, 2012, 2012: 618928.

DOI：10.1155/2012/618928

This paper extends an existing cooperative multi-objective interaction programming problem with interaction constraint for two players (or two agents). First, we define an s-optimal joint solution with weight vector to multi-objective interaction programming problem with interaction constraint for two players and get some properties of it. It is proved that the s-optimal joint solution with weight vector to the multi-objective interaction programming problem can be obtained by solving a corresponding mathematical programming problem. Then, we define another s-optimal joint solution with weight value to multi-objective interaction programming problem with interaction constraint for two players and get some of its properties. It is proved that the s-optimal joint solution with weight vector to multi-objective interaction programming problem can be obtained by solving a corresponding mathematical programming problem. Finally, we build a pricing multi-objective interaction programming model for a bi-level supply chain. Numerical results show that the interaction programming pricing model is better than Stackelberg pricing model and the joint pricing model.

• 出版日期2012
• 单位浙江工业大学; 滨州学院