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

被引:14
|
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
收藏
页数:18
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