| 目标规划MULTIPLEX模型的哲学观、有效性和统一化 |
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| 引用本文： | 闵仲求,金瑞龄.目标规划MULTIPLEX模型的哲学观、有效性和统一化[J].上海理工大学学报,1988(2). |
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| 作者姓名： | 闵仲求 金瑞龄 |
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| 作者单位： | 上海机械学院系统工程系
(闵仲求)，上海机械学院系统工程系(金瑞龄) |
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| 摘 要： | 本文论述目标规划方法论求解系统问题的四个哲学观点,从多目标、满意解、现实和弹性观点阐明了基础模型的概念,以及基础模型向传统线性规划模型和字典序目标规划多纯形(MULTIPLEX)模型的转换,指出转换时所作假设对模型有效性的影响。MULTIPLEX模型不仅兼容传统的单目标线性规划,而且可以统一描述加权线性目标规划、模糊规划和非劣解多目标线性规划等几乎所有各类多目标数学规划。
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| 关 键 词： | 数学规划 目标规划 多目标决策 |
On the Philosophies, Validation and Unification of GP Multiplex Model |
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| Min Zhongqiu Jin Ruiling.On the Philosophies, Validation and Unification of GP Multiplex Model[J].Journal of University of Shanghai For Science and Technology,1988(2). |
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| Authors: | Min Zhongqiu Jin Ruiling |
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| Institution: | Min Zhongqiu Jin Ruiling |
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| Abstract: | The viewpoints of multiobjective, satisfactory solution, reality and flexibility for solving systems problems are philosophies of the GP methodology. Based on the philosophies, the present article explains the concept of basic model (BM) and transform from BM into conventional linear programming and multiplexmodel of lexicographic multiobjective linear programming. It also points out the effects of assumptions on validation of model in the transforming. The linear goal programming with weights, fuzzy programming, linear multiobjective programming with nondominated solutions and various forms of multiobjective mathematical programming may be placed into the multiplex formulation. |
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| Keywords: | Mathematical programming Goal programming Multiobjective decision making |
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