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J4 ›› 2008, Vol. 43 ›› Issue (12): 52-55.

• 论文 • 上一篇    下一篇

两人交叉规划问题的最优整体差解

徐新生,孙建武   

  1. 滨州学院数学与信息科学系, 山东 滨州 256603
  • 收稿日期:2008-07-07 出版日期:2008-12-16 发布日期:2009-11-09
  • 通讯作者: 徐新生 xxs0905@163.com

An optimal integral differential solution for a two-person interaction programming problem

 XU Xin-Sheng, SUN Jian-Wu   

  1. Department of Mathematics and Information Science, Binzhou University, Binzhou 256603, Shandong, China
  • Received:2008-07-07 Online:2008-12-16 Published:2009-11-09

摘要:

引进了两人交叉规划问题的一种最优解概念: t* -最优整体差解,该解可以通过求解一个相应的数学规划问题得到。讨论了决策者具有不同让步值的t* -最优整体差解,给出了两人交叉规划问题的t* -最优整体差解和s-最优联合解之间的联系。数值例子表明该方法对于求解两人交叉规划问题具有一定的有效性。

关键词: 交叉规划问题; s-最优联合解; t*-最优整体差解

Abstract:

A new concept called the t*-optimal integral differential solution for a two-person interaction programming problem(IPP) was introduced, where t* is a non-negative constant. It can be shown that the t*-optimal integral differential solution is equivalent to the optimal solution for another mathematical programming problem. In addition,  the t*-optimal integral differential solution that the giving-up value of each decision maker is different was discussed, the relation between the t*-optimal integral differential solution and the s-optimal joint solution was also presented. A numerical example illustrated that the method presented here is efficient for solving a two-person interaction programming problem.

Key words: interaction programming problem; s-optimal joint solution; t*-optimal integral differential solution

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