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A queueing system with impatient customers

Published online by Cambridge University Press:  14 July 2016

A. G. De Kok  and
H. C. Tijms
A. G. De Kok*
Affiliation:
Vrije Universiteit
H. C. Tijms*
Affiliation:
Vrije Universiteit
*
∗Postal address: Vrije Universiteit, Department of Actuarial Sciences and Econometrics, Postbus 7161, 1007 MC Amsterdam, The Netherlands.
∗Postal address: Vrije Universiteit, Department of Actuarial Sciences and Econometrics, Postbus 7161, 1007 MC Amsterdam, The Netherlands.
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Abstract

A queueing situation often encountered in practice is that in which customers wait for service for a limited time only and leave the system if not served during that time. This paper considers a single-server queueing system with Poisson input and general service times, where a customer becomes a lost customer when his service has not begun within a fixed time after his arrival. For performance measures like the fraction of customers who are lost and the average delay in queue of a customer we obtain exact and approximate results that are useful for practical applications.

Keywords

APPROXIMATIONSLOSS PROBABILITYAVERAGE DELAY
Type
Research Papers
Information
Journal of Applied Probability , Volume 22 , Issue 3 , September 1985 , pp. 688 - 696
Copyright
Copyright © Applied Probability Trust 1985 

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