| 投入产出反问题的优化模型及算法 |
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| 引用本文： | 郭崇慧,唐焕文. 投入产出反问题的优化模型及算法[J]. 运筹学学报, 2002, 6(2): 1-8 |
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| 作者姓名： | 郭崇慧 唐焕文 |
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| 作者单位： | 大连理工大学管理科学与工程研究所,大连,116024 |
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| 基金项目： | Supported by the National Natural Science Foundation of China (No. 10071010). |
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| 摘 要： | 本文从反问题的角度讨论了修订直接消耗系数的几种优化方法，通过引入“投入产出反问题”的概念，建立了拉格朗日优化，二次规划，熵优化等三个优化模型，同时给出了算法和算例，并且比较了各种方法的计算结果。
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| 关 键 词： | 投入产出模型 最优化 反问题 直接消耗系数 算法 |
Optimization Models and Algorithms of Inverse Problem for Input-Output Analysis |
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| CHONGHUI GUO HUANWEN TANG. Optimization Models and Algorithms of Inverse Problem for Input-Output Analysis[J]. OR Transactions, 2002, 6(2): 1-8 |
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| Authors: | CHONGHUI GUO HUANWEN TANG |
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| Abstract: | In this paper, optimization methods of updating input-output coefficients matrix are considered from an inverse problem perspective. A concept of inverse problem for input-output analysis is introduced. Three optimization methods of inverse problem for input-output analysis are employed: Lagrangian technique, quadratic programming, and entropy optimization method. The algorithmic and computational performances are compared. |
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| Keywords: | input-output analysis optimization inverse problem input-output coef-ficients. |
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