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The power-series algorithm for Markovian queueing networks

van den Hout,W.B.
Blanc,J.P.C.
Abstract
A newversion of the Power-Series Algorithm is developed to compute the steady-state distribution of a rich class of Markovian queueing networks. The arrival process is a Multi-queue Markovian Arrival Process, which is a multi-queue generalization of the BMAP. It includes Poisson, fork and round-robin arrivals. At each queue the service process is a Markovian Service Process, which includes sequences of phase-type distributions, setup times and multi-server queues. The routing is Markovian. The resulting queueing network model is extremely general, which makes the Power-Series Algorithm a useful tool to study load-balancing, capacity-assignment and sequencing problems.
Description
Date
1994
Journal Title
Journal ISSN
Volume Title
Publisher
Unknown Publisher
Research Projects
Organizational Units
Journal Issue
Keywords
Queueing Network, operations research
Citation
van den Hout, W B & Blanc, J P C 1994 'The power-series algorithm for Markovian queueing networks' CentER Discussion Paper, vol. 1994-67, Unknown Publisher.
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