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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 3, Pages 13–19 (Mi timm1193)  
This article is cited in 3 scientific papers (total in 3 papers)

On an inverse linear programming problem

G. A. Amirkhanova, A. I. Golikova, Yu. G. Evtushenkoa

a Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow
Full-text PDF (157 kB) Citations (3)
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Abstract: A method for solving the following inverse linear programming (LP) problem is proposed. For a given LP problem and one of its feasible vectors, it is required to adjust the objective function vector as little as possible so that the given vector becomes optimal. The closeness of vectors is estimated by means of the Euclidean vector norm. The inverse LP problem is reduced to a problem of unconstrained minimization for a convex piecewise quadratic function. This minimization problem is solved by means of the generalized Newton method.
Keywords: linear programming, inverse linear programming problem, duality, unconstrained optimization, generalized newton method.
Received: 14.05.2015
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2016, Volume 295, Issue 1, Pages 21–27
DOI: https://doi.org/10.1134/S0081543816090030
Bibliographic databases:
Document Type: Article
UDC: 519.9
Language: Russian
Citation: G. A. Amirkhanova, A. I. Golikov, Yu. G. Evtushenko, “On an inverse linear programming problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 3, 2015, 13–19; Proc. Steklov Inst. Math. (Suppl.), 295, suppl. 1 (2016), 21–27
Citation in format AMSBIB
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\paper On an inverse linear programming problem
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\vol 21
\issue 3
\pages 13--19
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2016
\vol 295
\issue , suppl. 1
\pages 21--27
\crossref{https://doi.org/10.1134/S0081543816090030}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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