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THROUGHPUT AND BOTTLENECK ANALYSIS OF TANDEM QUEUES WITH NESTED SESSIONS

Published online by Cambridge University Press:  05 June 2017

A. Hristov ,
J.W. Bosman ,
R.D. van der Mei  and
S. Bhulai
A. Hristov
Affiliation:
CWI, Stochastics, Science Park 123, 1098XG Amsterdam, The Netherlands and Department of Mathematics, Faculty of Sciences, Vrije Universiteit Amsterdam, 1081HV AmsterdamThe Netherlands E-mail: [email protected]; [email protected]; [email protected]; [email protected]
J.W. Bosman
Affiliation:
CWI, Stochastics, Science Park 123, 1098XG Amsterdam, The Netherlands and Department of Mathematics, Faculty of Sciences, Vrije Universiteit Amsterdam, 1081HV AmsterdamThe Netherlands E-mail: [email protected]; [email protected]; [email protected]; [email protected]
R.D. van der Mei
Affiliation:
CWI, Stochastics, Science Park 123, 1098XG Amsterdam, The Netherlands and Department of Mathematics, Faculty of Sciences, Vrije Universiteit Amsterdam, 1081HV AmsterdamThe Netherlands E-mail: [email protected]; [email protected]; [email protected]; [email protected]
S. Bhulai
Affiliation:
CWI, Stochastics, Science Park 123, 1098XG Amsterdam, The Netherlands and Department of Mathematics, Faculty of Sciences, Vrije Universiteit Amsterdam, 1081HV AmsterdamThe Netherlands E-mail: [email protected]; [email protected]; [email protected]; [email protected]
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Abstract

Various types of systems across a broad range of disciplines contain tandem queues with nested sessions. Strong dependence between the servers has proved to make such networks complicated and difficult to study. Exact analysis is in most of the cases intractable. Moreover, even when performance metrics such as the saturation throughput and the utilization rates of the servers are known, determining the limiting factor of such a network can be far from trivial. In our work, we present a simple, tractable and nevertheless relatively accurate method for approximating the above mentioned performance measurements for any server in a given network. In addition, we propose an extension to the intuitive “slowest server rule” for identification of the bottleneck, and show through extensive numerical experiments that this method works very well.

Keywords

bottleneck identificationlayered queueing networknested sessionsperformance analysistandem queuethroughput
Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 32 , Issue 3 , July 2018 , pp. 396 - 408
Copyright
Copyright © Cambridge University Press 2017 

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