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Optimal control for a BMAP/SM/1 queue with MAP-inputof disasters and two operation modes

Published online by Cambridge University Press:  15 April 2004

Olga V. Semenova
Olga V. Semenova*
Affiliation:
Laboratory of Applied Probabilistic Analysis, Faculty of Applied Mathematics and Computer Sciences, Belarus State University, 4 F. Skorina Ave., 220050 Minsk 50, Belarus; semenovaov@bsu.by.
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Abstract

A single-server queueing system with a batch Markovian arrival process (BMAP) and MAP-input of disasters causing all customers to leave the system instantaneously is considered. The system has two operation modes, which depend on the current queue length. The embedded and arbitrary time stationary queue length distribution has been derived and the optimal control threshold strategy has been determined.

Keywords

Negative arrivalsBMAP/SM/1 queueMarkovian arrival process of disastersoperation modes.
Type
Research Article
Information
RAIRO - Operations Research , Volume 38 , Issue 2: Advances in modelling of complex systems , April 2004 , pp. 153 - 171
Copyright
© EDP Sciences, 2004

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