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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
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.
- 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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