Markov decision processes with a target set for minimum criteria

Markov decision processes with a target set for minimum criteria

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Article ID: iaor20083360
Country: United Kingdom
Volume: 14
Issue: 6
Start Page Number: 509
End Page Number: 520
Publication Date: Nov 2007
Journal: International Transactions in Operational Research
Authors:
Keywords: programming: dynamic
Abstract:

We consider Markov decision processes with a target set, where criterion function is an expectation of minimum function. We formulate the problem as an infinite horizon case with a recurrent class. We show under some conditions that an optimal value function is a unique solution to an optimality equation and there exists a stationary optimal policy. Also we give a policy improvement method.

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