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Part of the book series: Proceedings in Operations Research ((ORP,volume 1973))

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Summary

A class of Markovian decision processes is characterized using a weak row sum criterion. The criterion is shown to be necessary and sufficient for the absolute convergence of present values. A modified successive value iteration procedure is obtained.

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Literatur

  • Collatz, L.: Funktionalanalysis und Numerische Mathematik, Springer-Verlag, Berlin 1964.

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  • Denardo, E.: Contraction mappings in the theory underlying dynamic programming. SIAM Rev., 9, 165–177, 1967.

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  • Derman, C.:Finite State Markovian Decision Processes, Academic Press, New York, 1970.

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  • Maitra, A.: Dynamic programming for countable state systems. Sankya 27A 241–248, 1965.

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  • Reetz, D.:Solution of a Markovian Decision Problem by successive overrelaxation. Z.O.R. 17, 29–32, 1973.

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  • Veinott, A.F.: Discrete dynamic programming with sensitive discount optimality criteria, Ann. Math. Statist. 40, 1635–1660, 1969.

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P. Gessner R. Henn V. Steinecke H. Todt

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© 1974 Physica-Verlag, Rudolf Liebing KG, Würzburg

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Reetz, D. (1974). A Class of Markovian Decision Processes. In: Gessner, P., Henn, R., Steinecke, V., Todt, H. (eds) DGOR Papers of the Annual Meeting 1973 / Vorträge der Jahrestagung 1973. Proceedings in Operations Research, vol 1973. Physica-Verlag HD. https://doi.org/10.1007/978-3-642-99747-1_36

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  • DOI: https://doi.org/10.1007/978-3-642-99747-1_36

  • Publisher Name: Physica-Verlag HD

  • Print ISBN: 978-3-7908-0138-5

  • Online ISBN: 978-3-642-99747-1

  • eBook Packages: Springer Book Archive

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