Simulation-based optimization of Markov reward processes

Peter Marbach, John Tsitsiklis

IEEE Transactions on Automatic Control, vol. 46, no. 2, pp. 191-209, February 2001

 

Abstract

This paper proposes a simulation-based algorithm for optimizing the average reward in a finite-state Markov reward process that depends on a set of parameters. As a special case, the method applies to Markov decision processes where optimization takes place within a parametrized set of policies. The algorithm relies on the regenerative structure of finite-state Markov processes, involves the simulation of a single sample path, and can be implemented online. A convergence result (with probability 1) is provided

 

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