Optimal control for a BMAP/G/1 queue with two service modes.
Dudin, Alexander N., Nishimura, Shoichi (1999)
Mathematical Problems in Engineering
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Dudin, Alexander N., Nishimura, Shoichi (1999)
Mathematical Problems in Engineering
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Olga V. Semenova (2004)
RAIRO - Operations Research - Recherche Opérationnelle
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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.
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Journal of Applied Mathematics and Stochastic Analysis
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Journal of Applied Mathematics and Stochastic Analysis
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Mathematical Problems in Engineering
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Journal of Applied Mathematics and Stochastic Analysis
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