Probabilistic estimation of stability of solutions of optimization problems

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dc.contributor.authorDunaievska, О. I.en
dc.date.accessioned2020-11-26T10:32:51Z
dc.date.available2020-11-26T10:32:51Z
dc.date.issued2018
dc.description.abstractThe issues of stability of solution of optimization problems are considered on the example of transportation problem of linear programming, in which the transportation costs are random variables with a known distribution density. The complexity of solving such optimization problems by classical methods is substantiated. It is proved that the problem of estimating stability admits an analytic solution if the optimal solution of the problem is sought using the matrix minimum method. This solution is based on the search for the probability that characterizes the level of stability of solving the optimization problem. The corresponding computational procedure is described. An example is considered that illustrates it graphically.en
dc.identifier.citationDunaievska O. I. Probabilistic estimation of stability of solutions of optimization problems / O. I. Dunaievska // International Trends in Science and Technology : proc. of the 3-rd Intern. sci. and practic. conf., June 30, 2018, Warsaw, Poland. – Warsaw : RS Global Sp. z O. O., 2018. – P. 40-43.en
dc.identifier.urihttps://repository.kpi.kharkov.ua/handle/KhPI-Press/49503
dc.language.isoen
dc.publisherResearch and Scientific Group, Polanden
dc.subjectstabilityen
dc.subjectoptimization problemen
dc.subjecttransportation problemen
dc.subjectmatrix minimum methoden
dc.subjectrandom variableen
dc.subjectdistribution densityen
dc.subjectprobabilityen
dc.titleProbabilistic estimation of stability of solutions of optimization problemsen
dc.typeThesisen

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