Two M/M/1 Queues with Incongruent Arrivals and Services with Random Feedback

Q3 Business, Management and Accounting American Journal of Mathematical and Management Sciences Pub Date : 2019-05-01 DOI:10.1080/01966324.2019.1597794
M. Ghahramani, A. Badamchi Zadeh, M. R. Salehi Rad
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引用次数: 1

Abstract

SYNOPTIC ABSTRACT The current study examines a queuing system with two incongruent arrivals and two services. In this regard, two types of customers enter the system by a Poisson process and the service times are assumed to have exponential distributions. After the first service is completed, the system may provide feedback to repeat the first service, leave the system, or continue to give the second service. The same policy is utilized for the other kind of customers. The whole stochastic processes involved in the system are considered as independent random variables. A probability generating function is derived for each type and for the system that yield the performance measures. We examine the validity of the results through numerical approaches.
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两个到达不一致和服务随机反馈的M/M/1队列
摘要当前的研究考察了一个排队系统与两个不一致的到达和两个服务。在这方面,两种类型的客户通过泊松过程进入系统,并且服务时间假设具有指数分布。在第一次服务完成后,系统可能会提供反馈,重复第一次服务,离开系统,或者继续提供第二次服务。同样的策略也适用于其他类型的客户。系统中涉及的整个随机过程被看作是独立的随机变量。为每种类型和产生性能度量的系统导出概率生成函数。我们通过数值方法检验结果的有效性。
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来源期刊
American Journal of Mathematical and Management Sciences
American Journal of Mathematical and Management Sciences Business, Management and Accounting-Business, Management and Accounting (all)
CiteScore
2.70
自引率
0.00%
发文量
5
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