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A sample path analysis of the delay in the M/G/C system

Part of: Special processes

Published online by Cambridge University Press:  14 July 2016

Sridhar Seshadri
Sridhar Seshadri*
Affiliation:
New York University
*
∗Postal address: Department of Statistics and Operations Research, Leonard A. Stern School of Business, New York University, NY 10012, USA.
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Abstract

Using sample path analysis we show that under the same load the mean delay in queue in the M/G/2 system is smaller than that in the corresponding M/G/1 system, when the service time has either the DMRL or NBU property and the service discipline is FCFS. The proof technique uses a new device that equalizes the work in a two server system with that in a single sterver system. Other interesting quantities such as the average difference in work between the two servers in the GI/G/2 system and an exact alternate derivation of the mean delay in the M/M/2 system from sample path analysis are presented. For the same load, we also show that the mean delay in the M/G/C system with general service time distribution is smaller than that in the M/G/1 system when the traffic intensity is less than 1/c.

Keywords

SAMPLE PATH ANALYSISMULTI-SERVER QUEUEBOUNDS FOR MEAN DELAY

MSC classification

Primary: 60K25: Queueing theory
Type
Research Papers
Information
Journal of Applied Probability , Volume 33 , Issue 1 , March 1996 , pp. 256 - 266
Copyright
Copyright © Applied Probability Trust 1996 

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References

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