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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Literatur
Collatz, L.: Funktionalanalysis und Numerische Mathematik, Springer-Verlag, Berlin 1964.
Denardo, E.: Contraction mappings in the theory underlying dynamic programming. SIAM Rev., 9, 165–177, 1967.
Derman, C.:Finite State Markovian Decision Processes, Academic Press, New York, 1970.
Maitra, A.: Dynamic programming for countable state systems. Sankya 27A 241–248, 1965.
Reetz, D.:Solution of a Markovian Decision Problem by successive overrelaxation. Z.O.R. 17, 29–32, 1973.
Veinott, A.F.: Discrete dynamic programming with sensitive discount optimality criteria, Ann. Math. Statist. 40, 1635–1660, 1969.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1974 Physica-Verlag, Rudolf Liebing KG, Würzburg
About this paper
Cite this paper
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
Download citation
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