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Title: On the existence of stationary optimal policies in discrete dynamic programming (English)
Author: Sladký, Karel
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 17
Issue: 6
Year: 1981
Pages: 489-513
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Category: math
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MSC: 90C39
MSC: 90C40
idZBL: Zbl 0473.90086
idMR: MR674064
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Date available: 2009-09-24T17:24:30Z
Last updated: 2012-06-05
Stable URL: http://hdl.handle.net/10338.dmlcz/125640
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Reference: [1] F. R. Gantmakher: Teoriya matric.Second edition, Nauka, Moskva 1966.
Reference: [2] J. Flynn: Conditions for equivalence of optimality criteria in dynamic programming.Ann. Statist. 4 (1976), 5, 936-953. MR 0429138
Reference: [3] A. Hordijk K. Sladký: Sensitive optimality criteria in countable state dynamic programming.Mathem. Oper. Res. 2 (1977), 1, 1-14. MR 0456513
Reference: [4] R. A. Howard J. E. Matheson: Risk-sensitive Markov decision processes.Manag. Sci. 75 (1972), 7, 357-369. MR 0292497
Reference: [5] P. Mandl: Controlled Markov chains.(in Czech). Kybernetika 6 (1969), Supplement, 1 - 74. MR 0434456
Reference: [6] U. G. Rothblum: Multiplicative Markov Decision Chains.PhD Dissertation, Dept. Oper. Res., Stanford U., Stanford, Calif. 1974. MR 0736636
Reference: [7] K. Sladký: On the set of optimal controls for Markov chains with rewards.Kybernetika 70 (1974), 4, 350-367. MR 0378842
Reference: [8] K. Sladký: Bounds on discrete dynamic programming recursions 1 - Models with non-negative matrices.Kybernetika 16 (1980), 6, 526-547. MR 0607292
Reference: [9] K. Sladký: Bounds on discrete dynamic programming recursions II - Polynomial bounds on problems with block-triangular structure.Kybernetika 77(1981), 4, 310-328. MR 0643918
Reference: [10] A. F. Veinott, Jr.: Discrete dynamic programming with sensitive optimality criteria.(preliminary report). Ann. Math. Statist. 39 (1968), 4, 1372.
Reference: [11] A. F. Veinott, Jr.: Discrete dynamic programming with sensitive discount optimality criteria.Ann. Math. Statist. 40 (1969), 5, 1635-1660. Zbl 0183.49102, MR 0256712
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