| 来源类型 | Monograph (IIASA Working Paper) |
| 规范类型 | 论文 |
| Sensitivity Analysis in Multiobjective Optimization. | |
| Tanino T | |
| 发表日期 | 1986 |
| 出版者 | IIASA, Laxenburg, Austria: WP-86-005 |
| 出版年 | 1986 |
| 语种 | 英语 |
| 摘要 | Sensitivity analysis is both theoretically and practically useful in optimization. However, only a few results in this direction have been obtained for multiobjective optimization. In this paper, the issue of sensitivity analysis in multiobjective optimization is dealt with. Given a family of parametrized multiobjective optimization problems, the perturbation map is defined as the set-valued map which associates to each parameter value the set of minimal points of the perturbed feasible set with respect to a fixed ordering convex cone. The behavior of the perturbation map is analyzed quantitatively by using the concept of contingent derivative for set-valued maps. Particularly it is shown that the contingent derivative of the perturbation map for multiobjective programming problems with parametrized inequality Constraints is closely related to the corresponding Lagrange multipliers. |
| 主题 | System and Decision Sciences - Core (SDS) |
| URL | http://pure.iiasa.ac.at/id/eprint/2854/ |
| 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/123351 |
| 推荐引用方式 GB/T 7714 | Tanino T. Sensitivity Analysis in Multiobjective Optimization.. 1986. |
| 条目包含的文件 | ||||||
| 文件名称/大小 | 资源类型 | 版本类型 | 开放类型 | 使用许可 | ||
| WP-86-005.pdf（513KB） | 智库出版物 | 限制开放 | CC BY-NC-SA | 浏览 | ||
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