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Erschienen in:
2011 | OriginalPaper | Buchkapitel
A Matrix-Analytic Solution for Randomized Load Balancing Models with PH Service Times
verfasst von : Quan-Lin Li, John C. S. Lui, Yang Wang
Erschienen in: Performance Evaluation of Computer and Communication Systems. Milestones and Future Challenges
Verlag: Springer Berlin Heidelberg
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In this paper, we provide a matrix-analytic solution for randomized load balancing models (also known as
supermarket models
) with phase-type (PH) service times. Generalizing the service times to the phase-type distribution makes analysis of the supermarket models more difficult and challenging than that of the exponential service time case which has been extensively discussed in the literature. We describe the supermarket model as a system of differential vector equations, provide a doubly exponential solution to the fixed point of the system of differential vector equations, and analyze the exponential convergence of the current location of the supermarket model to its fixed point.