两人交叉规划问题的最优整体差解

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。

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

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.