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Server utilization factors in queueing loss systems with ordered entry and heterogeneous servers

Published online by Cambridge University Press:  14 July 2016

Behnam Pourbabai  and
David Sonderman
Behnam Pourbabai*
Affiliation:
New York University
David Sonderman*
Affiliation:
University of Massachusetts
*
∗Postal address: Statistics and Operations Research, New York University, New York, NY 1006, USA.
∗∗Postal address: Industrial Engineering and Operations Research, University of Massachusetts, Amherst, MA 01003, USA.
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Abstract

Approximation expressions for the server utilization factor of each server in a heterogeneous-server G/G/n queueing loss system with ordered entry are derived. The system is assumed to face a stationary counting process. Service times are generally distributed with possibly different service rates. The numerical results from this approximation method are then compared with those from a simulation study.

Keywords

QUEUEING SYSTEMSPOINT PROCESSESOVERFLOWAPPROXIMATIONCONVEYOR THEORY
Type
Short Communications
Information
Journal of Applied Probability , Volume 23 , Issue 1 , March 1986 , pp. 236 - 242
Copyright
Copyright © Applied Probability Trust 1986 

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Footnotes

The authors would like to acknowledge the financial support of NSF Grant ECS-8105954.

References

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