A Batch Arrival Single Server Queue with Server Providing General Service in Two Fluctuating Modes and Reneging during Vacation and Breakdowns
Joint Authors
Baruah, Monita
Madan, Kailash C.
Eldabi, Tillal
Source
Journal of Probability and Statistics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-08
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We study the behavior of a batch arrival queuing system equipped with a single server providing general arbitrary service to customers with different service rates in two fluctuating modes of service.
In addition, the server is subject to random breakdown.
As soon as the server faces breakdown, the customer whose service is interrupted comes back to the head of the queue.
As soon as repair process of the server is complete, the server immediately starts providing service in mode 1.
Also customers waiting for service may renege (leave the queue) when there is breakdown or when server takes vacation.
The system provides service with complete or reduced efficiency due to the fluctuating rates of service.
We derive the steady state queue size distribution.
Some special cases are discussed and numerical illustration is provided to see the effect and validity of the results.
American Psychological Association (APA)
Baruah, Monita& Madan, Kailash C.& Eldabi, Tillal. 2014. A Batch Arrival Single Server Queue with Server Providing General Service in Two Fluctuating Modes and Reneging during Vacation and Breakdowns. Journal of Probability and Statistics،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1042816
Modern Language Association (MLA)
Baruah, Monita…[et al.]. A Batch Arrival Single Server Queue with Server Providing General Service in Two Fluctuating Modes and Reneging during Vacation and Breakdowns. Journal of Probability and Statistics No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1042816
American Medical Association (AMA)
Baruah, Monita& Madan, Kailash C.& Eldabi, Tillal. A Batch Arrival Single Server Queue with Server Providing General Service in Two Fluctuating Modes and Reneging during Vacation and Breakdowns. Journal of Probability and Statistics. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1042816
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1042816