By using a purely probabilistic argumentation, two theorems are proved. They simplify the existing methods of analysis for the M/G/1{M/G/1} queuing system by means of the supplementary variables method.

中文翻译：

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半马尔可夫排队系统的替代瞬态解决方案

通过使用纯概率论证，证明了两个定理。它们通过补充变量方法简化了M / G / 1 {M / G / 1}排队系统的现有分析方法。