在平均费用准则下，证明了最优平稳策略的存在性。
It is proved that an optimal stationary policy exists under the criterion of long-run average cost.
基于性能势方法，导出了由最优平稳策略所满足的最优性方程。
Based on a potential approach, the optimality equations satisfied by the optimal stationary policies are derived.
稳定策略不同于平稳策略，是避免可能的实现值成指数增加的策略。
Stable policy, different from stationary policy, is a policy avoiding the possible realizations exponentially increasing.
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