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.
最后给出一个求解最优平稳策略的迭代算法，并提供一个数值例子以表明该算法的应用。
Finally an iteration algorithm to find an optimal stationary policy is proposed, and an numerical example is provided to (illustrate) the application of the algorithm.
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