应用数学2025，Vol.38Issue(3)：775-786,12.
具有工作故障和止步顾客的有限容量重试排队系统稳态分析
Steady-state Analysis of a Finite-source Retrial Queue with Working Breakdowns and Customer Balking
摘要
Abstract
In this paper,we consider a finite-source capacity retrial queue model with working breakdowns and customer balking.During the regular busy period,the new arrival either begins its service if the main server is free,or goes to a finite-source orbit and repeats its demand after some time if the server is occupied.Once the main server suffers a breakdown and fails,a substitute server will replace it immediately and continues serving the currently waiting customers,but at a lower service rate.To avoid the system congestion,the new arrival customers and the repeats from the orbit will not be allowed to enter the system until the completion of repair process.For such a queueing model,using the matrix-geometric combination solution,we derive the explicit expressions of the joint stationary probability distribution.Various performance measures are obtained.At last,we present several numerical examples to illustrate the effects of the parameters on performance measures.关键词
重试排队/工作故障/顾客止步/矩阵几何组合解Key words
Retrial queue/Working breakdown/Customer balking/Matrix geometrical combina-tion solution分类
数学引用本文复制引用
叶晴晴,黄丽璇..具有工作故障和止步顾客的有限容量重试排队系统稳态分析[J].应用数学,2025,38(3):775-786,12.基金项目
国家自然科学基金项目(11901307) （11901307）
