Two-Way Communication Retrial Queue with Markov Modulated Poisson Input and Multiple Types of Outgoing Calls
Two-Way Communication Retrial Queue with Markov Modulated Poisson Input and Multiple Types of Outgoing Calls
复制标题
马尔可夫调制泊松输入和多种呼出类型的双向通信重试队列
DOI：
10.1007/978-3-031-30648-8_29
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发表时间：
2023
期刊：
影响因子：
--
通讯作者：
Lizyura Olga
中科院分区：
文献类型：
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作者：
Nazarov Anatoly;Phung-Duc Tuan;Paul Svetlana;Lizyura Olga
本文研究了具有Markov调制Poisson输入的单服务台双向通信重试排队系统。这种系统服务于两种类型的呼叫：呼入和呼出。我们假设传入呼叫根据输入过程到达，并在到达时服务器忙碌的情况下重试。如果服务器在到达时被占用，则来电会加入轨道并等待一段时间，然后再进行下一次尝试接收服务。另一方面，呼出呼叫由服务器发起，并且不进行重拨。我们提出了分析的队列使用渐近扩散方法。
In this paper, we consider single server two-way communication retrial queue with Markov modulated Poisson input. Such system serves two types of calls: incoming and outgoing. We assume that incoming calls arrive according to the input process and retry in case the server is busy upon arrival. If the server is occupied upon arrival, the incoming call joins the orbit and waits for some time before making the next try to receive service. On the other hand, outgoing calls are initiated by server and do not make redial. We present the analysis of the queue using asymptotic diffusion method.