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RAIRO Oper. Res. 38 (2004) 153-171
DOI: 10.1051/ro:2004017
Optimal control for a BMAP/SM/1 queue with MAP-input of disasters and two operation modes
Olga V. SemenovaLaboratory of Applied Probabilistic Analysis, Faculty of Applied Mathematics and Computer Sciences, Belarus State University, 4 F. Skorina Ave., 220050 Minsk 50, Belarus; semenovaov@bsu.by.
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.
Key words: Negative arrivals, BMAP/SM/1 queue, Markovian arrival process of disasters, operation modes.
© EDP Sciences 2004
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