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• W966963313 abstract "We present sufficient conditions for the existence of a monotone optimal policy for a discrete time Markov decision process whose state space is partially ordered and whose action space is a compact subset of the real line. Knowing that such a policy exists, then the search for an optimal policy within the class of all policies can be restricted to the subclass of monotone policies. We also extend (using a new proof) some characterization theorems for monotone transition probabilities. These play an important role in establishing the existence of monotone optimal policies. We illustrate this for controlled random walks and a multi-machine maintenance model." @default.
• W966963313 created "2016-06-24" @default.
• W966963313 creator A5003761238 @default.
• W966963313 date "1976-01-01" @default.
• W966963313 modified "2023-10-18" @default.
• W966963313 title "Monotone optimal policies for Markov decision processes" @default.
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• W966963313 doi "https://doi.org/10.1007/bfb0120752" @default.
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