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Avtomatika i Telemekhanika, 2014, Issue 4, Pages 120–133 (Mi at7536)  
This article is cited in 5 scientific papers (total in 5 papers)

Two-level programming problems

On reduction of the multistage problem of stochastic programming with quantile criterion to the problem of mixed integer linear programming

A. I. Kibzun, O. M. Khromova

Moscow State Aviation Institute, Moscow, Russia
Full-text PDF (224 kB) Citations (5)
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Abstract: Consideration was given to the a priori formulation of the multistage problem of stochastic programming with a quantile criterion which is reducible to the two-stage problem. Equivalence of the two-stage problems with the quantile criterion in the a priori and a posteriori formulations was proved for the general case. The a posteriori formulation of the two-stage problem was in turn reduced to the equivalent problem of mixed integer linear programming. An example was considered.
Presented by the member of Editorial Board: A. V. Nazin

Received: 14.11.2013
English version:
Automation and Remote Control, 2014, Volume 75, Issue 4, Pages 688–699
DOI: https://doi.org/10.1134/S0005117914040092
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. I. Kibzun, O. M. Khromova, “On reduction of the multistage problem of stochastic programming with quantile criterion to the problem of mixed integer linear programming”, Avtomat. i Telemekh., 2014, no. 4, 120–133; Autom. Remote Control, 75:4 (2014), 688–699
Citation in format AMSBIB
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\issue 4
\pages 688--699
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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