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Aspects of Impatience in a Finite Buffer Queue

Published online by Cambridge University Press:  07 September 2012

Medhi Pallabi  and
Amit Choudhury
Medhi Pallabi
Affiliation:
Department of statistics, Guwahati university, Guwahati-781014 Assam, India. pmedhi16@gmail.com
Amit Choudhury
Affiliation:
Department of statistics, Guwahati university, Guwahati-781014 Assam, India. pmedhi16@gmail.com
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Abstract

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.

Keywords

Balkingfinite Bufferimpatiencerenegingqueuing
Type
Research Article
Information
RAIRO - Operations Research , Volume 46 , Issue 3 , July 2012 , pp. 189 - 209
Copyright
© EDP Sciences, ROADEF, SMAI, 2012

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