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Lookup NU author(s): Professor Kevin Glazebrook
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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.
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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