Reflections on robust optimization

被引:0
作者
Dupacová, J [1 ]
机构
[1] Charles Univ, Dept Probabil & Math Stat, Prague 18600, Czech Republic
来源
STOCHASTIC PROGRAMMING METHODS AND TECHNICAL APPLICATIONS | 1998年 / 458卷
关键词
robust optimization; tracking model; scenario based stochastic programs; postoptimality; contamination technique; out-of-sample scenarios;
D O I
暂无
中图分类号
F [经济];
学科分类号
02 ;
摘要
Various aspect of the robust optimization approach [11] are discussed in the context of scenario based stochastic linear programs. The main items are the choice of the model parameter, which can be related to properties of nonlinearly perturbed linear programs [10] or of parametric quadratic programs [1], and an extension of the first results on the robustness of the optimal value with respect to probabilities of the selected scenarios a4d with respect to out-of-sample scenarios, cf. [5].
引用
收藏
页码:111 / 127
页数:17
相关论文
共 12 条
[1]  
BANK B, 1982, NONLINEAR PARAMETRIC
[2]  
Dembo R. S., 1991, ANN OPER RES, V30, P63, DOI DOI 10.1007/BF02204809
[3]  
DOBIAS P, 1997, THESIS CHARLES U PRA
[4]  
Dupacova J., 1990, Annals of Operations Research, V27, P115, DOI 10.1007/BF02055193
[5]   Scenario-based stochastic programs: Resistance with respect to sample [J].
Dupacova, J .
ANNALS OF OPERATIONS RESEARCH, 1996, 64 :21-38
[6]  
DUPACOVA J, 1997, IN PRESS WORLD WIDE
[7]  
Evers WH, 1967, MANAGE SCI, V13, P680, DOI DOI 10.1287/MNSC.13.9.680
[8]  
Gol'shtein E.G., 1970, TRANSLATIONS MATH MO, V36
[9]  
King A. J., 1993, Annals of Operations Research, V45, P165, DOI 10.1007/BF02282047
[10]   NON-LINEAR PERTURBATION OF LINEAR PROGRAMS [J].
MANGASARIAN, OL ;
MEYER, RR .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1979, 17 (06) :745-752