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来源类型 | Monograph (IIASA Working Paper) |
规范类型 | 论文 |
Stability and Sensitivity Analysis in Convex Vector Optimization. | |
Tanino T | |
发表日期 | 1986 |
出版者 | IIASA, Laxenburg, Austria: WP-86-015 |
出版年 | 1986 |
语种 | 英语 |
摘要 | In this paper stability and sensitivity of the efficient set in convex vector optimization are considered. The perturbation map is defined as a set-valued map which associates, with each parameter vector, the set of all minimal points of the parametrized feasible set with respect to an ordering cone in the objective space. Sufficient conditions for the upper and lower semicontinuity of the perturbation map are obtained. Because of the convexity assumptions, the conditions obtained are fairly simple if compared with those in the general case. Moreover, a complete characterization of the contingent derivative of the perturbation map is obtained under some assumptions. It provides a quantitative information on the behavior of the perturbation map and allows to investigate the sensitivity of the efficient set with respect to the perturbations of the problem parameters. |
主题 | Interactive Decision Analysis Program (IDA) |
URL | http://pure.iiasa.ac.at/id/eprint/2844/ |
来源智库 | International Institute for Applied Systems Analysis (Austria) |
资源类型 | 智库出版物 |
条目标识符 | http://119.78.100.153/handle/2XGU8XDN/123341 |
推荐引用方式 GB/T 7714 | Tanino T. Stability and Sensitivity Analysis in Convex Vector Optimization.. 1986. |
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文件名称/大小 | 资源类型 | 版本类型 | 开放类型 | 使用许可 | ||
WP-86-015.pdf(524KB) | 智库出版物 | 限制开放 | CC BY-NC-SA | 浏览 |
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