On Controlled Finite State Markov Processes with Compact Control Sets

E. A. Fainberg · Theory of Probability and Its Applications · 1976

Previous article Next article On Controlled Finite State Markov Processes with Compact Control SetsE. A. FainbergE. A. Fainberghttps://doi.org/10.1137/1120093PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] O. V. Viskov and , A. N. Shiryaev, On controls which reduce to optimal stationary regimes, Trudy Mat. Inst. Steklov., 71 (1964), 35–45, (In Russian.) MR0173579 Google Scholar[2] Cyrus Derman, On sequential decisions and Markov chains, Management Sci., 9 (1962/1963), 16–24 MR0169685 CrossrefGoogle Scholar[3] Anders Martin-Löf, Existence of a stationary control for a Markov chain maximizing the average reward, Operations Res., 15 (1967), 866–871 MR0225565 0149.38103 CrossrefGoogle Scholar[4] John Bather, Optimal decision procedures for finite Markov chains. I. Examples, Advances in Appl. Probability, 5 (1973), 328–339 MR0368790 0262.90063 CrossrefGoogle Scholar[5] J. G. Kemeny and , J. L. Snell, Finite Markov Chains, Van Nostrand, Princeton, N.Y., 1965 Google Scholar[6] Ronald A. Howard, Dynamic programming and Markov processes, The Technology Press of M.I.T., Cambridge, Mass., 1960viii+136 MR0118514 0091.16001 Google Scholar[7] E. V. Denardo and , B. L. Fox, Multichain Markov renewal programs, SIAM J. Appl. Math., 16 (1968), 468–487 10.1137/0116038 MR0234721 0201.19303 LinkGoogle Scholar[8] A. A. Yushkevich, On a class of strategies in general controlled Markov models, Theory Prob. Applications, 18 (1973), 777–778 10.1137/1118099 0311.90081 LinkGoogle Scholar[9] L. G. Gubenko and , È. S. Štatland, On discrete time Markov decision processes, Teor. Verojatnost. i Mat. Statist., (1972), 51–64, 163, (In Russian.) MR0334957 0359.93048 Google Scholar[10] Samuel Karlin, Mathematical methods and theory in games, programming and economics. Vol. I: Matrix games, programming, and mathematical economics. Vol. II: The theory of infinite games, Addison-Wesley Publishing Co., Inc., Reading, Mass.-London, 1959Vol. I, x+433 pp. Vol. II, xi+386 MR0111634 Google Scholar[11] Cyrus Derman, Finite state Markovian decision processes, Mathematics in Science and Engineering, Vol. 67, Academic Press, New York, 1970xiii+159 MR0267686 0262.90001 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Stochastic Optimization Methods for the Stochastic Storage Process Control24 February 2012 Cross Ref Optimal control of a queue under a quality-of-service constraint with bounded and unbounded ratesOperations Research Letters, Vol. 48, No. 6 Cross Ref Gittins Index for Simple Family of Markov Bandit Processes with Switching Cost and No DiscountingM. P. 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Fainberg17 July 2006 | Theory of Probability & Its Applications, Vol. 23, No. 2AbstractPDF (1530 KB) Volume 20, Issue 4| 1976Theory of Probability & Its Applications History Submitted:26 June 1974Published online:17 July 2006 InformationCopyright © 1976 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1120093Article page range:pp. 856-862ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics

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