报酬无界的平均准则马氏决策过程

摘要

本文对可数状态集、非空决策集、报酬无界的平均准则马氏决策过程,提出了一组新的条件,在此条件下存在(ε)最优平稳策略,且当最优不等式中的和有定义时最优不等式也成立.%This paper studies average optimality in Markov decision processes with countablestate space, nonempty action sets and unbounded reward function. New conditions arediscussed under which there exists an (ε) optimal stationary policy, and that the averagecriterion optimality inequality holds when the summation in it is well defined.