Service Control of a Queueing System with Nonrenewal Arrivals and Phase Type Services

Document Type

Conference Proceeding

Publication Date


Publication Title

Proceedings of the International Mathematica Symposium

Conference Name

International Mathematica Symposium


We consider a single server queue with Markovian arrivals, in which the service times are assumed to be of phase type. Using two pre-determined thresholds, L1 and L2, with 1≤L1≤L2 and then brought back to the normal service rate when this number drops to L1. For this queuing model the steady state analysis is preformed and algorithms for computing various system performance measures are written as modules using MATHEMATICA. Some numerical examples are discussed.


Found in book Mathematics with Vision : Proceedings of the First International Mathematica Symposium. Editors V. Keränen and P. Mitic. ISBN 1-85312-386-2. ISBN 1-5625-310-4. Pages 93-102.

This research was supported in part by Grant No. DMI-9313283 from the National Science Foundation.

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©1995 Computational Mechanics Publications

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