Title
Analysis of a GI/M/1 queue with multiple working vacations
Abstract
Consider a GI/M/1 queue with vacations such that the server works with different rates rather than completely stops during a vacation period. We derive the steady-state distributions for the number of customers in the system both at arrival and arbitrary epochs, and for the sojourn time for an arbitrary customer.
Year
DOI
Venue
2005
10.1016/j.orl.2004.05.006
Oper. Res. Lett.
Keywords
Field
DocType
arbitrary epoch,embedded markov chain,different rate,server work,matrix-geometric approach,gi/m/1 queue,sojourn time,multiple working vacation,working vacation,arbitrary customer,vacation period,steady-state distribution,steady state
M/M/1 queue,Combinatorics,Working vacation,M/M/c queue,M/G/1 queue,Queue,Markov chain,M/G/k queue,Mathematics
Journal
Volume
Issue
ISSN
33
2
Operations Research Letters
Citations 
PageRank 
References 
47
2.67
3
Authors
1
Name
Order
Citations
PageRank
Yutaka Baba1483.11