| 两人交叉规划问题的最优整体差解 |
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| 引用本文： | 徐新生,孙建武. 两人交叉规划问题的最优整体差解[J]. 山东大学学报(理学版), 2008, 43(12): 52-55 |
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| 作者姓名： | 徐新生 孙建武 |
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| 作者单位： | 滨州学院数学与信息科学系,山东,滨州,256603;滨州学院数学与信息科学系,山东,滨州,256603 |
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| 基金项目： | 浙江省自然科学基金，滨州学院科研基金 |
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| 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。
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| 关 键 词： | 交叉规划问题 s-最优联合解 t*-最优整体差解 |
| 收稿时间： | 2008-07-07 |
An optimal integral differential solution for a two-person Interaction programming problem |
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| XU Xin-sheng,SUN Jian-wu. An optimal integral differential solution for a two-person Interaction programming problem[J]. Journal of Shandong University, 2008, 43(12): 52-55 |
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| Authors: | XU Xin-sheng SUN Jian-wu |
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| Affiliation: | Department of Mathematics and Information Science, Binzhou University, Binzhou 256603, Shandong, China |
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| 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. |
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| Keywords: | interaction programming problem s-optimal joint solution t-optimal integral differential solution |
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