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Block-successive approximation for a discounted Markov decision model

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  • Haviv, Moshe

Abstract

In this paper we suggest a new successive approximation method to compute the optimal discounted reward for finite state and action, discrete time, discounted Markov decision chains. The method is based on a block partitioning of the (stochastic) matrices corresponding to the stationary policies. The method is particularly attractive when the transition matrices are jointly nearly decomposable or nearly completely decomposable.

Suggested Citation

  • Haviv, Moshe, 1985. "Block-successive approximation for a discounted Markov decision model," Stochastic Processes and their Applications, Elsevier, vol. 19(1), pages 151-160, February.
  • Handle: RePEc:eee:spapps:v:19:y:1985:i:1:p:151-160
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    Cited by:

    1. Pelin Canbolat & Uriel Rothblum, 2013. "(Approximate) iterated successive approximations algorithm for sequential decision processes," Annals of Operations Research, Springer, vol. 208(1), pages 309-320, September.

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