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Optimal control for a BMAP/SM/1 queuewith 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; [email protected].
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Abstract

A single-server queueing system with a batch Markovian arrivalprocess (BMAP) and MAP-input of disasters causing all customers toleave the system instantaneously is considered. The system has twooperation modes, which depend on the current queue length. Theembedded and arbitrary time stationary queue length distributionhas been derived and the optimal control threshold strategy hasbeen determined.

Keywords

Negative arrivalsBMAP/SM/1 queueMarkovianarrival 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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