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Extended generator and associated martingales for M/G/1 retrial queue with classical retrial policy and general retrial times
Probability in the Engineering and Informational Sciences ( IF 0.7 ) Pub Date : 2022-01-11 , DOI: 10.1017/s0269964821000541
S. Meziani 1 , T. Kernane 2
Affiliation  

A retrial queue with classical retrial policy, where each blocked customer in the orbit retries for service, and general retrial times is modeled by a piecewise deterministic Markov process (PDMP). From the extended generator of the PDMP of the retrial queue, we derive the associated martingales. These results are used to derive the conditional expected number of customers in the orbit in the transient regime.



中文翻译:

具有经典重试策略和一般重试时间的 M/G/1 重试队列的扩展生成器和相关联的鞅

具有经典重试策略的重试队列,其中轨道中的每个阻塞客户都会重试服务,一般重试时间由分段确定性马尔可夫过程 (PDMP) 建模。从重试队列的 PDMP 的扩展生成器中,我们导出相关联的鞅。这些结果用于推导瞬态状态下轨道上的条件预期客户数量。

更新日期:2022-01-11
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