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BMAP/G/1 queue with correlated arrivals of customers and disasters
Authors:Yang Woo Shin
Affiliation:Department of Statistics, Changwon National University, Changwon, Gyeongnam 641-773, South Korea
Abstract:We consider a single server queue with disasters where the arrivals of customers and disasters are correlated. When a disaster occurs, it removes all the customers in the system and there requires repair time for the system to be operated normally. The stationary queue length distribution at the embedded points and at an arbitrary time are presented.
Keywords:Negative customers   Disasters   Marked Markovian arrival process (MMAP)   Queue length distribution
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