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The dependence of optimal returns from multi-class queueing systems on their customer base

Lookup NU author(s): Professor Kevin Glazebrook

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Abstract

We identify structured collections of multi-class queueing systems whose optimal return (a minimised cost) is a supermodular function of the set of customer classes allowed external access to the system. Our results extend considerably the range of systems for which such a claim can be made. The returns from such systems also exhibit a form of directional convexity when viewed as functions of a vector of arrival rates. Applications to load balancing problems are indicated.

Publication metadata

Author(s): Dacre MJ, Glazebrook KD

Publication type: Article

Publication status: Published

Journal: Queueing Systems

Year: 2002

Volume: 40

Issue: 1

Pages: 93-115

ISSN (print): 0257-0130

ISSN (electronic): 1572-9443

Publisher: Springer

URL: http://dx.doi.org/10.1023/A:1017948530608

DOI: 10.1023/A:1017948530608

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