The Dependence of Optimal Returns from Multi-class Queueing Systems on Their Customer Base
- Cite this article as:
- Dacre, M. & Glazebrook, K. Queueing Systems (2002) 40: 93. doi:10.1023/A:1017948530608
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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.