Equilibrium Customer Strategies in the Single-Server Constant Retrial Queue with Breakdowns and Repairs
Joint Authors
Zhang, Feng
Wang, Jinting
Zhang, Zhengwu
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-02
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We consider a single-server constant retrial queueing system with a Poisson arrival process and exponential service and retrial times, in which the server may break down when it is working.
The lifetime of the server is assumed to be exponentially distributed and once the server breaks down, it will be sent for repair immediately and the repair time is also exponentially distributed.
There is no waiting space in front of the server and arriving customers decide whether to enter the retrial orbit or to balk depending on the available information they get upon arrival.
In the paper, Nash equilibrium analysis for customers’ joining strategies as well as the related social and profit maximization problems is investigated.
We consider separately the partially observable case where an arriving customer knows the state of the server but does not observe the exact number of customers waiting for service and the fully observable case where customer gets informed not only about the state of the server but also about the exact number of customers in the orbit.
Some numerical examples are presented to illustrate the effect of the information levels and several parameters on the customers’ equilibrium and optimal strategies.
American Psychological Association (APA)
Zhang, Zhengwu& Wang, Jinting& Zhang, Feng. 2014. Equilibrium Customer Strategies in the Single-Server Constant Retrial Queue with Breakdowns and Repairs. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-467421
Modern Language Association (MLA)
Zhang, Zhengwu…[et al.]. Equilibrium Customer Strategies in the Single-Server Constant Retrial Queue with Breakdowns and Repairs. Mathematical Problems in Engineering No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-467421
American Medical Association (AMA)
Zhang, Zhengwu& Wang, Jinting& Zhang, Feng. Equilibrium Customer Strategies in the Single-Server Constant Retrial Queue with Breakdowns and Repairs. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-467421
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-467421