| 书目名称 | Variable Ordering Structures in Vector Optimization |
| 编辑 | Gabriele Eichfelder |
| 视频video | |
| 概述 | Presents variable ordering structures for the first time in book length format.Includes applications in Economics and Health.Provides algorithms for solving finite discrete as well as continuous vecto |
| 丛书名称 | Vector Optimization |
| 图书封面 |  |
| 描述 | This book provides an introduction to vector optimization with variable ordering structures, i.e., to optimization problems with a vector-valued objective function where the elements in the objective space are compared based on a variable ordering structure: instead of a partial ordering defined by a convex cone, we see a whole family of convex cones, one attached to each element of the objective space. The book starts by presenting several applications that have recently sparked new interest in these optimization problems, and goes on to discuss fundamentals and important results on a wide range of topics. The theory developed includes various optimality notions, linear and nonlinear scalarization functionals, optimality conditions of Fermat and Lagrange type, existence and duality results. The book closes with a collection of numerical approaches for solving these problems in practice. |
| 出版日期 | Book 2014 |
| 关键词 | cone-valued maps; duality; linear scalarization; nonlinear scalarization; numerical methods; optimality c |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-54283-1 |
| isbn_softcover | 978-3-662-52551-7 |
| isbn_ebook | 978-3-642-54283-1Series ISSN 1867-8971 Series E-ISSN 1867-898X |
| issn_series | 1867-8971 |
| copyright | Springer-Verlag Berlin Heidelberg 2014 |
发表于 2025-3-21 19:56:49
