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

Author:

Dudin Alexander N.1,Nishimura Shoichi2

Affiliation:

1. Department of Applied Mathematics and Informatics, Belarus State University, 4, F. Skorina Ave., Minsk 50, Belarus

2. Department of Applied Mathematics, Science University of Tokyo, 1-3, Kagurazaka, Shinjuku-Ku, Tokyo 162, Japan

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.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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