题名 | Inverse optimization for linearly constrained convex separable programming problems |
作者 | |
发表日期 | 2010-02-01 |
发表期刊 | European Journal of Operational Research
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ISSN/eISSN | 0377-2217 |
卷号 | 200期号:3页码:671-679 |
摘要 | In this paper, we study inverse optimization for linearly constrained convex separable programming problems that have wide applications in industrial and managerial areas. For a given feasible point of a convex separable program, the inverse optimization is to determine whether the feasible point can be made optimal by adjusting the parameter values in the problem, and when the answer is positive, find the parameter values that have the smallest adjustments. A sufficient and necessary condition is given for a feasible point to be able to become optimal by adjusting parameter values. Inverse optimization formulations are presented with ℓ and ℓ norms. These inverse optimization problems are either linear programming when ℓ norm is used in the formulation, or convex quadratic separable programming when ℓ norm is used. © 2009 Elsevier B.V. All rights reserved. |
关键词 | Convex separable program Inverse optimization KKT conditions Linear programming Quadratic programming |
DOI | 10.1016/j.ejor.2009.01.043 |
URL | 查看来源 |
语种 | 英语English |
Scopus入藏号 | 2-s2.0-69749100410 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | https://repository.uic.edu.cn/handle/39GCC9TT/6635 |
专题 | 北师香港浸会大学 |
通讯作者 | Zhang,Jianzhong |
作者单位 | 1.BJNU-HKBU United International College,China 2.Department of Mathematics,Xian Jiaotong University,China |
第一作者单位 | 北师香港浸会大学 |
通讯作者单位 | 北师香港浸会大学 |
推荐引用方式 GB/T 7714 | Zhang,Jianzhong,Xu,Chengxian. Inverse optimization for linearly constrained convex separable programming problems[J]. European Journal of Operational Research, 2010, 200(3): 671-679. |
APA | Zhang,Jianzhong, & Xu,Chengxian. (2010). Inverse optimization for linearly constrained convex separable programming problems. European Journal of Operational Research, 200(3), 671-679. |
MLA | Zhang,Jianzhong,et al."Inverse optimization for linearly constrained convex separable programming problems". European Journal of Operational Research 200.3(2010): 671-679. |
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