Mathematical Problems in Engineering 
Volume 5 (1999), Issue 3, Pages 255-273
doi:10.1155/S1024123X99001088

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

Abstract

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.