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Title: Necessary and sufficient optimality conditions for two-stage stochastic programming problems (English)
Author: Kaňková, Vlasta
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 25
Issue: 5
Year: 1989
Pages: 375-385
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Category: math
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MSC: 90C15
MSC: 90C30
idZBL: Zbl 0708.90062
idMR: MR1024712
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Date available: 2009-09-24T18:13:27Z
Last updated: 2012-06-05
Stable URL: http://hdl.handle.net/10338.dmlcz/124334
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Reference: [1] P. Kall: Stochastic Linear Programming.Springer-Verlag, Berlin--Heidelberg--New York 1976. Zbl 0317.90042, MR 0446504
Reference: [2] V. Kaňková: Differentiability of the optimalized function in a two-stage stochastic nonlinear programming problem.Ekonomicko-matematický obzor 14 (1978), 3, 322-330. In Czech. MR 0514885
Reference: [3] V. Kaňková: An approximative solution of a stochastic optimization problem.In: Trans. of the Eighth Prague Conference, Academia, Prague 1978, pp. 327-332. MR 0536792
Reference: [4] V. Kaňková: Approximative solution of problems of two-stage stochastic nonlinear programming.Ekonomicko-matematický obzor 16 (1980), 1, 64-76. In Czech. MR 0571742
Reference: [5] V. Kaňková: A note on the differentiability in two-stage stochastic nonlinear programming problems.Kybernetika 24 (1988), 3, 207-215. MR 0953689
Reference: [6] S. Karlin: Mathematical Methods and Theory in Games, Programming, and Economics.Pergamon Press, London--Paris 1959.
Reference: [7] В. Н. Пшеничный: Ю. М. Данилин: Численные методы в экстремальных задачах.Наука, Москва 1975. Zbl 1170.01354
Reference: [8] В. Н. Пшеничный: Необоходимые условия экстремума.Наука, Москва 1982. Zbl 1170.01407
Reference: [9] R. T. Rockafellar: Convex Analysis.Princeton Press, New Jersey 1970. Zbl 0193.18401, MR 0274683
Reference: [10] R. T. Rockafellar, R. J.-B. Wets: Stochastic convex programming: basic duality.Pacific J. Math. 62 (1976), 173-195. Zbl 0339.90048, MR 0416582
Reference: [11] R. T. Rockafellar, R. J.-B. Wets: The optimal recourse problem in discrete time: $L^1$-multiplies for inequality constraints.SIAM J. Control Optim. 16 (1978), 1, 16-36. Zbl 0397.90078, MR 0496664
Reference: [12] S. Vogel: Necessary optimality conditions for two-stage stochastic programming problems.Optimization 16 (1985), 4, 607-616. Zbl 0579.90073, MR 0791369
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