Título: **
Remark on Constrained Markov Decision Processes with Discounted Cost
**

Autor: **
Juan González Hernández
**

**Resumen**

In the constrained Markov decision processes with discounted cost the
objetive is to minimize an expected discounted cost I subjet to
another expected discounted V to less than a constant K. In this paper
we point out with an example some of the problems one way get when one
works under constrains such as: Bellman's principle of optimality does
not hold, optimal policies may depend upon initial state, optimal
policies may be not deterministic, and finally may exist more than one
optimal policy, even more in our example there are uncountables many
optimal policies.
**Key words:** constrained, markov decision processes, discounted cost.

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