On deviation measures in stochastic integer programming

被引:15
作者
Märkert, A [1 ]
Schultz, R [1 ]
机构
[1] Univ Duisburg Gesamthsch, Inst Math, D-47048 Duisburg, Germany
关键词
stochastic programming; mean-risk models; mixed-integer optimization;
D O I
10.1016/j.orl.2004.09.003
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 propose extensions of traditional expectation-based stochastic integer programs to mean-risk models. Risk is measured by expected deviations of suitable random variables from their means or from preselected targets. We derive structural properties of the resulting stochastic programs and present first algorithmic ideas to achieve problem decomposition. (c) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:441 / 449
页数:9
相关论文
共 23 条
[1]   BFC, A branch-and-fix coordination algorithmic framework for solving some types of stochastic pure and mixed 0-1 programs [J].
Alonso-Ayuso, A ;
Escudero, LF ;
Ortuño, MT .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2003, 151 (03) :503-519
[2]  
BANK B, 1982, NONLINEAR PARAMETRIC
[3]  
Bank B., 1988, PARAMETRIC INTEGER O
[4]  
BILLINGSLEY P., 1999, Convergence of Probability Measures, V2nd, DOI 10.1002/9780470316962
[5]  
Birge J. R., 1997, INTRO STOCHASTIC PRO
[6]   VALUE FUNCTION OF A MIXED INTEGER-PROGRAM .1. [J].
BLAIR, CE ;
JEROSLOW, RG .
DISCRETE MATHEMATICS, 1977, 19 (02) :121-138
[7]   Dual decomposition in stochastic integer programming [J].
Caroe, CC ;
Schultz, R .
OPERATIONS RESEARCH LETTERS, 1999, 24 (1-2) :37-45
[8]  
Engell S, 2001, ONLINE OPTIMIZATION OF LARGE SCALE SYSTEMS, P649
[9]  
FISHBURN PC, 1977, AM ECON REV, V67, P116
[10]   A spectral bundle method with bounds [J].
Helmberg, C ;
Kiwiel, KC .
MATHEMATICAL PROGRAMMING, 2002, 93 (02) :173-194