Linear semi-infinite programming theory:: An updated survey

被引：61

作者：

Goberna, MA ^{[1
]}

López, MA ^{[1
]}

机构：

[1] Univ Alicante, Dept Stat & Operat Res, Alicante 03071, Spain

来源：

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2002年 / 143卷 / 02期

关键词：

linear and convex semi-infinite programming linear and convex inequality systems; convex sets; stability; well-posedness; parametric optimization; constraint qualifications; global error bound;

D O I：

10.1016/S0377-2217(02)00327-2

中图分类号：

C93 [管理学];

学科分类号：

12 ; 1201 ; 1202 ; 120202 ;

摘要：

This paper presents an state-of-the-art survey on linear semi-infinite programming theory and its extensions (in particular. convex semi-infinite programming). This review updates a previous survey [Semi-Infinite Programming, Non-convex Optim. Appl. 25. 1998] of the same authors on the same topic which was published in 1998. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：390 / 405

页数：16

共 97 条

[1] ABBE L, SEMIINFINITE PROGRAM, P169
[2] Altinel IK, 1997, NAV RES LOG, V44, P187, DOI 10.1002/(SICI)1520-6750(199703)44:2<187::AID-NAV3>3.0.CO
[3] 2-5
[4] Strong duality for inexact linear programming problems
Amaya, J
Gómez, JA
[J]. OPTIMIZATION, 2001, 49 (03) : 243 - 269
[5] AN EXTENSION OF THE SIMPLEX ALGORITHM FOR SEMI-INFINITE LINEAR-PROGRAMMING
ANDERSON, EJ
LEWIS, AS
[J]. MATHEMATICAL PROGRAMMING, 1989, 44 (03) : 247 - 269
[6] Anderson EJ, 1998, LINEAR ALGEBRA APPL, V270, P231
[7] Simplex-like trajectories on quasi-polyhedral sets
Anderson, EJ
Goberna, MA
López, MA
[J]. MATHEMATICS OF OPERATIONS RESEARCH, 2001, 26 (01) : 147 - 162
[8] Anderson EJ, 1987, LINEAR PROGRAMMING I
[9] [Anonymous], 1991, CONVEX ANAL MINIMIZA
[10] ASTAFEV NN, 1994, SIB C APPL IND MATH, V1

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