Extended generator and associated martingales for M/G/1 retrial queue with classical retrial policy and general retrial times

IF 0.7 3区工程技术 Q4 ENGINEERING, INDUSTRIAL

Probability in the Engineering and Informational Sciences Pub Date : 2022-01-11 DOI:10.1017/S0269964821000541

S. Meziani, T. Kernane

引用次数: 0

Abstract

Abstract 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.

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具有经典重审策略和一般重审时间的M/G/1重审队列的扩展生成器和相关鞅

摘要利用分段确定性马尔可夫过程(PDMP)对具有经典重审策略的重审队列进行建模，其中轨道上的每个阻塞客户都重试服务，并且一般重审时间。从重试队列的PDMP的扩展生成器中，导出了相关的鞅。利用这些结果推导出了在瞬态状态下轨道上的条件期望顾客数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Probability in the Engineering and Informational Sciences 数学-工程：工业

CiteScore

2.20

自引率

18.20%

发文量

审稿时长

>12 weeks

期刊介绍： The primary focus of the journal is on stochastic modelling in the physical and engineering sciences, with particular emphasis on queueing theory, reliability theory, inventory theory, simulation, mathematical finance and probabilistic networks and graphs. Papers on analytic properties and related disciplines are also considered, as well as more general papers on applied and computational probability, if appropriate. Readers include academics working in statistics, operations research, computer science, engineering, management science and physical sciences as well as industrial practitioners engaged in telecommunications, computer science, financial engineering, operations research and management science.