Two-stage stochastic programs with mixed probabilities

被引:0
|
作者
Bosch, Paul [1 ]
Jofre, Alejandro [2 ,3 ]
Schultz, Ruediger [4 ]
机构
[1] Univ Diego Portales, Fac Ingn, Ave Ejercito 441,5To Piso, Santiago, Chile
[2] Univ Chile, Ctr Modelamiento Matemat, Santiago, Chile
[3] Univ Chile, Dept Ingn Matemat, Santiago, Chile
[4] Univ Duisburg Essen, Dept Math, D-47048 Duisburg, Germany
来源
WORLD CONGRESS ON ENGINEERING 2008, VOLS I-II | 2008年
关键词
stochastic programming; two-stage models; stability analysis;
D O I
暂无
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
We extend the traditional two-stage linear stochastic program by probabilistic constraints imposed in the second stage. This adds nonlinearity such that basic arguments for analyzing the structure of linear two-stage stochastic programs have to be rethought from the very beginning. We identify assumptions under which the problem is structurally sound and behaves stable under perturbations of probability measures.
引用
收藏
页码:1707 / 1707
页数:1
相关论文
共 50 条
  • [31] L-shaped decomposition of two-stage stochastic programs with integer recourse
    Claus C. Carøe
    Jørgen Tind
    Mathematical Programming, 1998, 83 : 451 - 464
  • [32] A note on constraint aggregation and value functions for two-stage stochastic integer programs
    Trapp, Andrew C.
    Prokopyev, Oleg A.
    DISCRETE OPTIMIZATION, 2015, 15 : 37 - 45
  • [33] Are Quasi-Monte Carlo algorithms efficient for two-stage stochastic programs?
    H. Heitsch
    H. Leövey
    W. Römisch
    Computational Optimization and Applications, 2016, 65 : 567 - 603
  • [35] An algorithm for two-stage stochastic mixed-integer nonlinear convex problems
    E. Mijangos
    Annals of Operations Research, 2015, 235 : 581 - 598
  • [36] A Review on the Performance of Linear and Mixed Integer Two-Stage Stochastic Programming Software
    Torres, Juan J.
    Li, Can
    Apap, Robert M.
    Grossmann, Ignacio E.
    ALGORITHMS, 2022, 15 (04)
  • [37] Enhancements of two-stage stochastic decomposition
    Sen, Suvrajeet
    Zhou, Zhihong
    Huang, Kai
    COMPUTERS & OPERATIONS RESEARCH, 2009, 36 (08) : 2434 - 2439
  • [38] An improved L-shaped method for two-stage convex 0-1 mixed integer nonlinear stochastic programs
    Li, Can
    Grossmann, Ignacio E.
    COMPUTERS & CHEMICAL ENGINEERING, 2018, 112 : 165 - 179
  • [39] On sample average approximation for two-stage stochastic programs without relatively complete recourse
    Chen, Rui
    Luedtke, James
    MATHEMATICAL PROGRAMMING, 2022, 196 (1-2) : 719 - 754
  • [40] On sample average approximation for two-stage stochastic programs without relatively complete recourse
    Rui Chen
    James Luedtke
    Mathematical Programming, 2022, 196 : 719 - 754