Analysis of Repairable GeoG1 Queues with Negative Customers
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-12-24
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We consider discrete-time Geo/G/1 queues with negative customers and a repairable server.
The server is subject to failure due to a negative customer arrival.
As soon as a negative customer arrives at a system, the server fails and one positive (ordinary) customer is forced to leave.
At a failure instant, the server is turned off and the repair process immediately begins.
We construct the mathematical model and present the probability generating functions of the system size distribution and the FCFS sojourn time distribution.
Finally, some numerical examples are given to show the influence of negative customer arrival on the performance measures of the system.
American Psychological Association (APA)
Lee, Doo Ho& Kim, Kilhwan. 2014. Analysis of Repairable GeoG1 Queues with Negative Customers. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1039663
Modern Language Association (MLA)
Lee, Doo Ho& Kim, Kilhwan. Analysis of Repairable GeoG1 Queues with Negative Customers. Journal of Applied Mathematics No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1039663
American Medical Association (AMA)
Lee, Doo Ho& Kim, Kilhwan. Analysis of Repairable GeoG1 Queues with Negative Customers. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1039663
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1039663