Abstract:
Consideration was given to the two-stage problem of stochastic programming with a quantile criterion. The case of bilinear loss function which is linear separately in the normally distributed random factors and the strategies was studied. An algorithm was proposed based on solving the parametric problem of convex programming with the scalar parameter selected with the use of the dichotomy method. The solution proved to be guaranteeing for the original problem. An example was discussed.
Presented by the member of Editorial Board:A. V. Nazin
Citation:
A. I. Kibzun, O. M. Khromova, “On reduction of the two-stage problem of quantile optimization to the problem of convex programming”, Avtomat. i Telemekh., 2014, no. 5, 67–82; Autom. Remote Control, 75:5 (2014), 859–871
\Bibitem{KibKhr14}
\by A.~I.~Kibzun, O.~M.~Khromova
\paper On reduction of the two-stage problem of quantile optimization to the problem of convex programming
\jour Avtomat. i Telemekh.
\yr 2014
\issue 5
\pages 67--82
\mathnet{http://mi.mathnet.ru/at9094}
\transl
\jour Autom. Remote Control
\yr 2014
\vol 75
\issue 5
\pages 859--871
\crossref{https://doi.org/10.1134/S0005117914050051}
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Linking options:
https://www.mathnet.ru/eng/at9094
https://www.mathnet.ru/eng/at/y2014/i5/p67
This publication is cited in the following 1 articles:
Kibzun A., “Comparison of Two Algorithms For Solving a Two-Stage Bilinear Stochastic Programming Problem With Quantile Criterion”, Appl. Stoch. Models. Bus. Ind., 31:6 (2015), 862–874