Title
Recursive solution of queue length distribution for GeoG1 queue with single server vacation and variable input rate
Abstract
In this paper we consider discrete time GeoG1 queue with single server vacation and variable input rate. Using renewal process, probability decomposition technique and u-transform, we derive the recursive expressions of the queue length distributions at epochs n-, n+, and n. The results obtained in this paper indicate that the equilibrium queue length distribution no longer follows the stochastic decomposition discipline. Furthermore we derive the important relations between equilibrium queue length distributions at different epochs ( n-, n+,n). © 2011 Elsevier Ltd. All rights reserved.
Year
DOI
Venue
2011
10.1016/j.camwa.2011.02.018
Computers and Mathematics with Applications
Keywords
Field
DocType
Discrete time queue,Recursive expression,Single server vacation,Variable input rate
M/M/1 queue,Discrete mathematics,M/D/1 queue,Bulk queue,G/G/1 queue,M/M/c queue,Mathematical analysis,M/G/1 queue,M/G/k queue,M/D/c queue,Real-time computing,Mathematics
Journal
Volume
Issue
ISSN
61
9
null
Citations 
PageRank 
References 
1
0.37
6
Authors
4
Name
Order
Citations
PageRank
Chuanyi Luo171.82
tang261.43
Miaomiao Yu3556.13
Yinghui Tang4425.95