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A stable algorithm for stationary distribution calculation for a BMAP/SM/1 queueing system with Markovian arrival input of disasters

Part of: Special processes

Published online by Cambridge University Press:  14 July 2016

Alexander Dudin  and
Olga Semenova
Alexander Dudin*
Affiliation:
Belarusian State University
Olga Semenova*
Affiliation:
Belarusian State University
*
∗ Postal address: Laboratory of Applied Probabilistic Analysis, Department of Applied Mathematics and Computer Sciences, Belarusian State University, 4 F. Skorina Avenue, 220050 Minsk 50, Belarus.
∗ Postal address: Laboratory of Applied Probabilistic Analysis, Department of Applied Mathematics and Computer Sciences, Belarusian State University, 4 F. Skorina Avenue, 220050 Minsk 50, Belarus.
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Abstract

Disaster arrival into a queueing system causes all customers to leave the system instantaneously. We present a numerically stable algorithm for calculating the stationary state distribution of an embedded Markov chain for the BMAP/SM/1 queue with a MAP input of disasters.

Keywords

BMAP/SM/1-type queuedisastercensored Markov chainstable algorithm

MSC classification

Primary: 60K25: Queueing theory
Secondary: 60K30: Applications (congestion, allocation, storage, traffic, etc.)
Type
Research Papers
Information
Journal of Applied Probability , Volume 41 , Issue 2 , June 2004 , pp. 547 - 556
Copyright
Copyright © Applied Probability Trust 2004 

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