Issue RAIRO Oper. Res. Volume 38, Number 2, April-June 2004 Advances in modelling of complex systems Page(s) 153 - 171 DOI 10.1051/ro:2004017

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. Semenova

Laboratory 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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