Impatient Customers in Queueing System with Optional Vacation Policies and Power Saving Mode

被引：0

作者：

Gupta, Poonam ^{[1
]}

Gupta, Rajni ^{[2
,3
]}

Malik, Sangeeta ^{[3
]}

机构：

[1] Hindu Girls Coll, Dept Math, Sonipat, India

[2] Hindu Coll, Dept Math, Sonipat, India

[3] Baba Mastnath Univ, Dept Math, Rohtak, Haryana, India

来源：

APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2022年 / 17卷 / 01期

关键词：

Queueing; Vacations; Classical vacation; Working vacation; Bernoulli schedule; Setup time; Retention; Reneging; TRANSIENT ANALYSIS; WORKING VACATIONS; M/M/1; QUEUE; SINGLE; TIME;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this manuscript, a queueing system with two optional vacation policies, power-saving mode under reneging and retention of reneged customers in both vacations is analyzed. If the server is free, it chooses either of the vacations, classical vacation or working vacation. During vacations, the customers may get impatient due to delays and may leave the system, but they are retained in the system with some convincing mechanisms. On vacation completion, if the system is empty, the server is turned off to facilitate better utilization of the resources. Some of the operating system characteristics are derived using the probability generating functions technique. The numerical results are graphically represented by using MATLAB software.

引用

页数：18

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