Performance of an M/M/1 Retrial Queue with Working Vacation Interruption and Classical Retrial Policy

An M/M/1 retrial queue with working vacation interruption is considered. Upon the arrival of a customer, if the server is busy, it would join the orbit of infinite size. The customers in the orbit will try for service one by one when the server is idle under the classical retrial policy with retrial...

Full description

Saved in:
Bibliographic Details
Published inAdvances in Operations Research Vol. 2016; no. 2016; pp. 153 - 161
Main Authors Tao, Li, Gao, Shan, Zhang, Liyuan
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2016
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Subjects
Analysis
Consultants
Customer services
Economic models
File servers
Interruption
Investigations
Markov analysis
Mathematical analysis
Mathematical optimization
Operations research
Optimization
Policies
Queues
Queuing theory
Registration
Servers
Vacations
United States
Online AccessGet full text
ISSN1687-9147
1687-9155
DOI10.1155/2016/4538031

Cover

More Information
Summary:An M/M/1 retrial queue with working vacation interruption is considered. Upon the arrival of a customer, if the server is busy, it would join the orbit of infinite size. The customers in the orbit will try for service one by one when the server is idle under the classical retrial policy with retrial rate nα, where n is the size of the orbit. During a working vacation period, if there are customers in the system at a service completion instant, the vacation will be interrupted. Under the stable condition, the probability generating functions of the number of customers in the orbit are obtained. Various system performance measures are also developed. Finally, some numerical examples and cost optimization analysis are presented.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
content type line 23
ISSN:1687-9147
1687-9155
DOI:10.1155/2016/4538031