We prove two lemmas with conditions that a system, which is described by a transient Markov chain, will display local stability. Examples of such systems include partly overloaded Jackson networks, partly overloaded polling systems, and overloaded multi-server queues with skill based service, under first come first served policy.

中文翻译：

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瞬态马尔可夫链中的局部稳定性

我们证明了两个引理，条件是由瞬态马尔可夫链描述的系统将显示局部稳定性。此类系统的示例包括部分过载的 Jackson 网络、部分过载的轮询系统以及具有基于技能的服务的过载多服务器队列，遵循先到先得的策略。