Volume 45, Number 3, July-September 2011
|Page(s)||223 - 240|
|Published online||16 December 2011|
Some aspects of balking and reneging in finite buffer queues
Dept. of Statistics, Gauhati University, Guwahati 781014, Assam, India ;
Received: 23 November 2010
Accepted: 7 October 2011
In this paper, a single server finite buffer Markovian queuing system is analyzed with the additional restriction that customers may balk as well as renege. Reneging considered in literature is usually of position independent type where the reneging rate is constant irrespective of the position of the customer in the system. However there are many real world situations where this assumption does not hold. This paper is an attempt to model balking with position dependent reneging. Explicit closed form expressions of a number of performance measures are presented. A typical problem is discussed to demonstrate the usefulness of results derived in the paper.
Mathematics Subject Classification: 60K25 / 68M20 / 90B22
Key words: Balking / finite buffer queue / impatience / position dependent reneging / queuing / reneging
© EDP Sciences, ROADEF, SMAI 2011
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.