A MINIMUM AVERAGEVARIANCE IN MARKOV DECISION PROCESSES By

This paper is concerned with the averagevariance of Markov decision processes with countable states and finite actions. Sufficient conditions will be given to assure that there is a stationary deterministic policy which minimizes the averagevariance in a class of the meanoptimal policies. The class of the policies is detetermined by the quantity of the actions which do not satisfy the meanoptimal equation