Robust linear optimization under general norms

被引:335
作者
Bertsimas, D
Pachamanova, D
Sim, M
机构
[1] MIT, Alfred P Sloan Sch Management, Cambridge, MA 02142 USA
[2] Babson Coll, Dept Math & Sci, Babson Pk, MA 02457 USA
[3] Natl Univ Singapore, NUS Business Sch, Singapore 117592, Singapore
关键词
robust optimization; stochastic programming; linear programming; norms; dual norms; constraint violation;
D O I
10.1016/j.orl.2003.12.007
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
We explicitly characterize the robust counterpart of a linear programming problem with uncertainty set described by an arbitrary norm. Our approach encompasses several approaches from the literature and provides guarantees for constraint violation under probabilistic models that allow arbitrary dependencies in the distribution of the uncertain coefficients. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:510 / 516
页数:7
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