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On the comparison of waiting times in tandem queues

Published online by Cambridge University Press:  14 July 2016

Shun-Chen Niu
Shun-Chen Niu*
Affiliation:
The Cleveland State University
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Abstract

Using a definition of partial ordering of distribution functions, it is proven that for a tandem queueing system with many stations in series, where each station can have either one server with an arbitrary service distribution or a number of constant servers in parallel, the expected total waiting time in system of every customer decreases as the interarrival and service distributions becomes smaller with respect to that ordering. Some stronger conclusions are also given under stronger order relations. Using these results, bounds for the expected total waiting time in system are then readily obtained for wide classes of tandem queues.

Keywords

TANDEM QUEUESTOTAL WAITING TIMESPARTIAL ORDERINGSBOUNDS
Type
Research Papers
Information
Journal of Applied Probability , Volume 18 , Issue 3 , September 1981 , pp. 707 - 714
Copyright
Copyright © Applied Probability Trust 

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