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Optimal control for a BMAP/SM/1 queuewith MAP-inputof disasters and two operation modes
Olga V. Semenova
Journal:

RAIRO - Operations Research / Volume 38 / Issue 2 / April 2004

Published online by Cambridge University Press:

15 April 2004, pp. 153-171

Print publication:

April 2004
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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.