Paper Info
Title
The Discrete-Time Bulk-Service Geo/Geo/1 Queue with Multiple Working Vacations.
Abstract
This paper deals with a discrete-time bulk-service Geo/Geo/1 queueing system with infinite buffer space and multiple working vacations. Considering an early arrival system, as soon as the server empties the system in a regular busy period, he leaves the system and takes a working vacation for a random duration at time n. The service times both in a working vacation and in a busy period and the vacation times are assumed to be geometrically distributed. By using embedded Markov chain approach and difference operator method, queue length of the whole system at random slots and the waiting time for an arriving customer are obtained. The queue length distributions of the outside observer's observation epoch are investigated. Numerical experiment is performed to validate the analytical results.
Year
DOI
Venue
2013
10.1155/2013/587269
JOURNAL OF APPLIED MATHEMATICS
Field
DocType
Volume
Mathematical optimization,Working vacation,Queue,Markov chain,Queueing system,Operator (computer programming),Discrete time and continuous time,Observer (quantum physics),Mathematics
Journal
2013
Issue
ISSN
Citations 
null
1110-757X
1
PageRank 
References 
Authors
0.38
17
3
Name
Order
Citations
PageRank
Jiang Cheng110.38
Yinghui Tang2425.95
Miaomiao Yu3556.13