Mathematical Problems in Engineering
Volume 5 (1999), Issue 3, Pages 255-273

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

Alexander N. Dudin1 and Shoichi Nishimura2

1Department of Applied Mathematics and Informatics, Belarus State University, 4, F. Skorina Ave., Minsk 50, Belarus
2Department of Applied Mathematics, Science University of Tokyo, 1-3, Kagurazaka, Shinjuku-Ku, Tokyo 162, Japan

Received 23 September 1998

Copyright © 1999 Alexander N. Dudin and Shoichi Nishimura. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Queueing models with controllable service rate play an important role in telecommunication systems. This paper deals with a single-server model with a batch Markovian arrival process (BMAP) and two service modes, where switch-over times are involved when changing the service mode. The embedded stationary queue length distribution and the explicit dependence of operation criteria on switch-over levels and derived.