Optimal multithreshold control for a BMAP/G/1 queue with N service modes

Authors:
A. Dudin
Affiliations:
Belarus University, 4, F. Skorina Ave, Minsk-50, Belarus E-mail: dudin@ fpm.bsu.unibel.by
Venue:
Queueing Systems: Theory and Applications
Year:
1998

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Abstract

This paper deals with the problem of the optimal service rate control in the system with BMAP (Batch Markovian Arrival Process) arrival stream. An algorithm for the computation of the embedded stationary queue length distribution is developed. The procedure for the cost criteria calculation is elaborated for any fixed parameters of the multithreshold control policy.