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The Power-Series Algorithm for Markovian Queueing Networks

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Author Info
Hout, W.B. van den
Blanc, J.P.C. (Tilburg University, Center for Economic Research)

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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.

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Publisher Info
Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 67.

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Date of creation: 1994
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Handle: RePEc:dgr:kubcen:199467

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  1. van den Hout, W.B. & Blanc, J.P.C., 1993. "The Power-Series Algorithm Extended to the BMAP/PH/1 Queue," Papers 9360, Tilburg - Center for Economic Research.
  2. Blanc, J.P.C., 1993. "Performance Analysis and Optimization with the Power- Series Algorithm," Papers 9347, Tilburg - Center for Economic Research.
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