| ODE法在多目标规划中的应用 |
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| 引用本文： | 周宗放,段虞荣. ODE法在多目标规划中的应用[J]. 重庆大学学报(社会科学版), 1995, 1(3) |
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| 作者姓名： | 周宗放 段虞荣 |
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| 作者单位： | 重庆大学系统工程及应用数学系，重庆大学系统工程及应用数学系 重庆 630044 重庆邮电学院基础部，重庆 630044 |
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| 摘 要： | 在一定条件下,从多目标规划问题的任一可行解的某邻域出发,建立了沿着所建立的常微分方程组的轨线,关于部分交元总收敛到原多目标规划问题的(弱)有效解。
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| 关 键 词： | 多目标规划 约束条件 可行解 有效解 常微分方程 |
Application of the Method of Ordinary Differential Equations in Multiobjective Programming |
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| Zhou Zongfang Duan Yurong. Application of the Method of Ordinary Differential Equations in Multiobjective Programming[J]. Journal of Chongqing University(Social Sciences Edition), 1995, 1(3) |
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| Authors: | Zhou Zongfang Duan Yurong |
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| Affiliation: | Zhou Zongfang Duan Yurong |
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| Abstract: | In the author's previous works,a method of ordinary differential equations for solving multiobjective programming problem had been presented. In this paper, we further use ordinary differential equations to discuss the general multiobjective programming problem and its constraints more deeply. Under certain conditions, star ting from some neibourhood of any feasible solution of multiobjective programming problem,along the trajectory of the established system of ordinary differential equations,the solution is always convergent to the (weak) efficient solution of the original multiobjective programming problem with respect to partial arguments. |
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| Keywords: | multiobjective programming constraints feasible solution efficient solution ordinary differential equations |
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