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M/G/1 queueing systems with returning customers

Published online by Cambridge University Press:  14 July 2016

Betsy S. Greenberg
Betsy S. Greenberg*
Affiliation:
The University of Texas at Austin
*
∗Postal address: Department of Management Science and Information Systems, CBA 5.202, The University of Texas at Austin, TX 78712-1175, USA.
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Abstract

Single-channel queues with Poisson arrivals, general service distributions, and no queue capacity are studied. A customer who finds the server busy either leaves the system for ever or may return to try again after an exponentially distributed time. Steady-state probabilities are approximated and bounded in two different ways. We characterize the service distribution by its Laplace transform, and use this characterization to determine the better method of approximation.

Keywords

GEOMETRIC ORBITSRETRIAL QUEUESLAPLACE TRANSFORM METHODS
Type
Research Papers
Information
Journal of Applied Probability , Volume 26 , Issue 1 , March 1989 , pp. 152 - 163
Copyright
Copyright © Applied Probability Trust 1989 

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References

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