Necessary and sufficient optimality conditions for two-stage stochastic programming problems
Vlasta Kaňková (1989)
Kybernetika
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Vlasta Kaňková (1989)
Kybernetika
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Jitka Dupačová (2010)
Kybernetika
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In applications of geometric programming, some coefficients and/or exponents may not be precisely known. Stochastic geometric programming can be used to deal with such situations. In this paper, we shall indicate which stochastic programming approaches and which structural and distributional assumptions do not destroy the favorable structure of geometric programs. The already recognized possibilities are extended for a tracking model and stochastic sensitivity analysis is presented in...
Vlasta Kaňková (1978)
Kybernetika
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Miloš Kopa, Barbora Petrová (2017)
Kybernetika
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This paper deals with a multistage stochastic programming portfolio selection problem with a new type of risk premium constraints. These risk premiums are constructed on the multistage scenario tree. Two ways of the construction are introduced and compared. The risk premiums are incorporated in the multistage stochastic programming portfolio selection problem. The problem maximizes the multivariate (multiperiod) utility function under condition that the multistage risk premiums are smaller...
Regina Hildenbrandt (2003)
Discussiones Mathematicae Probability and Statistics
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Several peculiarities of stochastic dynamic programming problems where random vectors are observed before the decision ismade at each stage are discussed in the first part of this paper. Surrogate problems are given for such problems with distance properties (for instance, transportation problems) in the second part.
Wan, Zhong, Hao, Aiyun, Meng, Fuzheng, Hu, Chaoming (2010)
Journal of Inequalities and Applications [electronic only]
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Dorota Kuchta (2004)
Control and Cybernetics
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Laureano F. Escudero (1998)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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We present a model1ing framework for multistage planning problems under uncertainty in the objective function coefficients and right-hand-side. A multistagy scenario analysis scheme with partial recourse is used. So, the decisíon polícy can be implemented for a given set of initial time periods (so-called implementable time stage), such that the solution for the other periods lioes not need' to be anticipated and, then, it depends upon the scenario group to occur at each stage. In any...