On a reduction principle in dynamic programming

Author:

Glazebrook K. D.

Abstract

Whittle enunciated an important reduction principle in dynamic programming when he showed that under certain conditions optimal strategies for Markov decision processes (MDPs) placed in parallel to one another take actions in a way which is consistent with the optimal strategies for the individual MDPs. However, the necessary and sufficient conditions given by Whittle are by no means always satisfied. We explore the status of this computationally attractive reduction principle when these conditions fail.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Statistics and Probability

Reference15 articles.

1. Glazebrook K. D. (1987) Evaluating strategies for Markov decision processes in parallel (submitted).

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