Transient Solution of a Single Server Queuing Model with Correlated Reneging Using Runge-Kutta Method

被引：2

作者：

Kumar, Rakesh ^{[1
]}

Soodan, Bhavneet Singh ^{[1
]}

机构：

[1] Shri Mata Vaishno Devi Univ, Sch Math, Katra 182320, Jammu & Kashmir, India

来源：

INTERNATIONAL JOURNAL OF MATHEMATICAL ENGINEERING AND MANAGEMENT SCIENCES | 2020年 / 5卷 / 05期

关键词：

Queuing model; Correlated reneging; Transient solution; Runge-Kutta method; Transition marks; BALKING; SYSTEM; RETENTION;

D O I：

10.33889/IJMEMS.2020.5.5.068

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, the concept of correlated reneging is introduced in queuing theory. The reneging considered so far is dependent on system size, but there are many real life situations where customers may renege due to exogenous factors other than the state of the system. Further, the reneging of customer may induce the other customers to renege at two successive time points. Such reneging is called correlated reneging. An M/M/1/K queuing model with correlated reneging is studied. Runge-Kutta method of fourth order is presented to obtain the transient solution of the model. Some performance measures like expected system size and expected waiting time in the system are studied.

引用

页码：886 / 896

页数：11

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