scholarly journals Joining strategies under two kinds of games for a multiple vacations retrial queue with $ N $-policy and breakdowns

2021 ◽  
Vol 6 (8) ◽  
pp. 9075-9099
Author(s):  
Zhen Wang ◽  
◽  
Liwei Liu ◽  
Yuanfu Shao ◽  
Yiqiang Q. Zhao ◽  
...  
Keyword(s):  
Retrial Queue ◽  
Multiple Vacations

Mx/G/1 Retrial Queue with Multiple Vacations and Starting Failures

OPSEARCH ◽  
2003 ◽  
Vol 40 (2) ◽  
pp. 115-137 ◽  
Author(s):  
B. Krishna Kumar ◽  
S. Pavai Madheswari
Keyword(s):  
Retrial Queue ◽  
Multiple Vacations

Stochastic analysis of a preemptive retrial queue with orbital search and multiple vacations

2020 ◽  
Vol 54 (1) ◽  
pp. 231-249
Author(s):  
Shan Gao ◽  
Jinting Wang
Keyword(s):  
Cost Optimization ◽  
Retrial Queue ◽  
Length Distribution ◽  
Stochastic Decomposition ◽  
Embedded Markov Chain ◽  
Multiple Vacations ◽  
Retrial Queueing System ◽  
Queue Length Distribution ◽  
Retrial Queueing ◽  
Necessary And Sufficient

This paper deals with a preemptive priority M/G/1 retrial queue with orbital search and exhaustive multiple vacations. By using embedded Markov chain technique and the supplementary variable method, we discuss the necessary and sufficient condition for the system to be stable and the joint queue length distribution in steady state as well as some important performance measures and the Laplace–Stieltjes transform of the busy period. Also, we establish a special case and the stochastic decomposition laws for this preemptive retrial queueing system. Finally, some numerical examples and cost optimization analysis are presented.

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