A matrix-geometric approximation for tandem queues with blocking and repeated attempts

A matrix-geometric approximation for tandem queues with blocking and repeated attempts

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Article ID: iaor20031661
Country: Netherlands
Volume: 30
Issue: 6
Start Page Number: 360
End Page Number: 374
Publication Date: Dec 2002
Journal: Operations Research Letters
Authors:
Keywords: markov processes
Abstract:

Our interest is in the study of the MAP/PH/1/1→·/PH/1/K+1 queue with blocking and repeated attempts. The main feature of its infinitesimal generator is the spatial heterogeneity caused by the transitions due to successful repeated attempts. We develop an algorithmic solution by making a simplifying approximation which yields an infinitesimal generator which is spatially homogeneous and has a modified matrix-geometric stationary vector. The essential tool in our analysis is the general theory on quasi-birth-and-death processes.

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