Analysis of an M/G/1 Retrial Queue with Delayed Repair and Feedback under Working Vacation policy with Impatient Customers

被引：21

作者：

GnanaSekar, Micheal Mathavavisakan Nicholas ^{[1
]}

Kandaiyan, Indhira ^{[1
]}

机构：

[1] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India

来源：

SYMMETRY-BASEL | 2022年 / 14卷 / 10期

关键词：

retrial queues; feedback; delayed repair; working vacations; ERGODICITY;

D O I：

10.3390/sym14102024

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The concept of a single server retrial queueing system with delayed repair and feedback under a working vacation policy, along with the asymmetric transition representation, is discussed in this article. In addition, consumers are entitled to balk and renege in some situations. The steady-state probability generating function for system size and orbit size is derived by using the approach of supplementary variables. Discussions include key metrics of the system and a few significant special conditions. Moreover, the impact of system parameters is examined through the analysis of some numerical examples.

引用

页数：18

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