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Staffing Many-Server Systems with Admission Control and Retrials

Part of: Approximations and expansions Computer system organization Special processes

Published online by Cambridge University Press:  22 February 2016

A. J. E. M. Janssen  and
J. S. H. van Leeuwaarden
A. J. E. M. Janssen*
Affiliation:
Eindhoven University of Technology and Eurandom
J. S. H. van Leeuwaarden*
Affiliation:
Eindhoven University of Technology
*
∗ Postal address: Department of Mathematics and Computer Science, Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven, The Netherlands.
∗ Postal address: Department of Mathematics and Computer Science, Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven, The Netherlands.
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Abstract

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In many-server systems it is crucial to staff the right number of servers so that targeted service levels are met. These staffing problems typically lead to constraint satisfaction problems that are difficult to solve. During the last decade, a powerful many-server asymptotic theory has been developed to solve such problems and optimal staffing rules are known to obey the square-root staffing principle. In this paper we develop many-server asymptotics in the so-called quality and efficiency driven regime, and present refinements to many-server asymptotics and square-root staffing for a Markovian queueing model with admission control and retrials.

Keywords

Many-server systemsQED regimeHalfin-Whitt regimeheavy trafficdiffusion limitsadmission controlsquare-root staffingoptimality gapasymptotic dimensioning

MSC classification

Primary: 60K25: Queueing theory 68M10: Network design and communication 41A60: Asymptotic approximations, asymptotic expansions (steepest descent, etc.)
Type
Research Article
Information
Advances in Applied Probability , Volume 47 , Issue 2 , June 2015 , pp. 450 - 475
Copyright
© Applied Probability Trust 

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