具有可选服务、不可靠服务器、犹豫和反馈的重试排队系统的性能分析

IF 1.3 Q3 ENGINEERING, MULTIDISCIPLINARY

International Journal of Mathematical Engineering and Management Sciences Pub Date : 2023-08-01 DOI:10.33889/ijmems.2023.8.4.044

V. Saravanan, V. Poongothai, P. Godhandaraman

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引用次数: 0

摘要

本文考虑了一个具有可选服务、不可靠服务器、阻塞和反馈的马尔可夫重试排队系统。如果服务器免费，到达的客户可以立即获得服务。如果潜在客户遇到繁忙的服务器，它可能会加入轨道或阻止系统。客户可以在随机的一段时间后重试他们对轨道服务的请求。每个客户都可以获得第一基本服务（FES）。FES完成后，客户可以寻求第二次可选服务（SOS）或离开系统。如果出现不可预见的情况，服务器可能会出现故障，此时将启动立即修复过程。服务完成后，如果客户不满意，可以离开系统或重新加入轨道，并要求定期服务作为反馈。在这项研究中，使用递归方法来构建平稳队列大小分布。导出了各种系统性能度量。对系统参数对性能指标的影响进行了数值和图形分析。

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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Performance Analysis of a Retrial Queueing System with Optional Service, Unreliable Server, Balking and Feedback

This paper considers a Markovian retrial queueing system with an optional service, unreliable server, balking and feedback. An arriving customer can avail of immediate service if the server is free. If the potential customer encounters a busy server, it may either join the orbit or balk the system. The customers may retry their request for service from the orbit after a random amount of time. Each customer gets the First Essential Service (FES). After the completion of FES, the customers may seek the Second Optional Service (SOS) or leave the system. In the event of unforeseen circumstances, the server may encounter a breakdown, at which point an immediate repair process will be initiated. After the service completion, the customer may leave the system or re-join the orbit if not satisfied and demand regular service as feedback. In this investigation, the stationary queue size distributions are framed using a recursive approach. Various system performance measures are derived. The effects induced by the system parameters on the performance metrics are numerically and graphically analysed.

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来源期刊

International Journal of Mathematical Engineering and Management Sciences Multiple-

CiteScore

3.80

自引率

6.20%

发文量

审稿时长

20 weeks

期刊介绍： IJMEMS is a peer reviewed international journal aiming on both the theoretical and practical aspects of mathematical, engineering and management sciences. The original, not-previously published, research manuscripts on topics such as the following (but not limited to) will be considered for publication: *Mathematical Sciences- applied mathematics and allied fields, operations research, mathematical statistics. *Engineering Sciences- computer science engineering, mechanical engineering, information technology engineering, civil engineering, aeronautical engineering, industrial engineering, systems engineering, reliability engineering, production engineering. *Management Sciences- engineering management, risk management, business models, supply chain management.