Issue |
RAIRO-Oper. Res.
Volume 46, Number 3, July-September 2012
|
|
---|---|---|
Page(s) | 189 - 209 | |
DOI | https://doi.org/10.1051/ro/2012014 | |
Published online | 07 September 2012 |
Aspects of Impatience in a Finite Buffer Queue
Department of statistics, Guwahati university, Guwahati-781014
Assam,
India
pmedhi16@gmail.com
Received:
11
December
2011
Accepted:
15
June
2012
In a multi server queuing system, buffer size is often larger than the number of servers. This necessitates queuing and waiting for some customers. Customers become impatient while waiting for service. Additionally, they may also become impatient if service is not offered at the desired rate. This paper analyses a finite buffer multi server queuing system with the additional restriction that customers may balk as well as renege. Closed form expressions of a number of performance measures are presented. A design problem is discussed to demonstrate the results derived.
Mathematics Subject Classification: 60K25 / 68M20 / 90B22
Key words: Balking / finite Buffer / impatience / reneging / queuing
© EDP Sciences, ROADEF, SMAI, 2012
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.