Paper Info
Title
A two threshold vacation policy in multiserver queueing systems
Abstract
We consider a queueing system with c servers and a threshold type vacation policy. In this system, when a certain number d<c of servers become idle at a service completion instant, these d servers will take a synchronous vacation of random length together. After each vacation, the number of customers in the system is checked. If that number is N or more, these d servers will resume serving the queue; otherwise, they will take another vacation together. Using the matrix analytical method, we obtain the stationary distribution of queue length and prove the conditional stochastic decomposition properties. Through numerical examples, we discuss the performance evaluation and optimization issues in such a vacation system with this (d,N) threshold policy.
Year
DOI
Venue
2006
10.1016/j.ejor.2004.01.053
European Journal of Operational Research
Keywords
Field
DocType
Multiserver queue,Threshold policy,Server’s vacation,Matrix geometric solutions,Stochastic decomposition
Mathematical optimization,Matrix (mathematics),Idle,Computer science,Queue,Server,Queueing theory,Queueing system,Stationary distribution,Operations management
Journal
Volume
Issue
ISSN
168
1
0377-2217
Citations 
PageRank 
References 
10
0.91
10
Authors
2
Name
Order
Citations
PageRank
Naishuo Tian127223.70
Zhe George Zhang242444.55