Analysis of an MMc Queueing System with Impatient Customers and Synchronous Vacations
Joint Authors
Zhao, Guoxi
Yue, Wuyi
Yue, Dequan
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-20
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We consider an M/M/c queueing system with impatient customers and a synchronous vacation policy, where customer impatience is due to the servers’ vacation.
Whenever a system becomes empty, all the servers take a vacation.
If the system is still empty, when the vacation ends, all the servers take another vacation; otherwise, they return to serve the queue.
We develop the balance equations for the steady-state probabilities and solve the equations by using the probability generating function method.
We obtain explicit expressions of some important performance measures by means of the two indexes.
Based on these, we obtain some results about limiting behavior for some performance measures.
We derive closed-form expressions of some important performance measures for two special cases.
Finally, some numerical results are also presented.
American Psychological Association (APA)
Yue, Dequan& Yue, Wuyi& Zhao, Guoxi. 2014. Analysis of an MMc Queueing System with Impatient Customers and Synchronous Vacations. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-505984
Modern Language Association (MLA)
Yue, Dequan…[et al.]. Analysis of an MMc Queueing System with Impatient Customers and Synchronous Vacations. Journal of Applied Mathematics No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-505984
American Medical Association (AMA)
Yue, Dequan& Yue, Wuyi& Zhao, Guoxi. Analysis of an MMc Queueing System with Impatient Customers and Synchronous Vacations. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-505984
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505984