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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.
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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