Title

A Batch Markovian Queue with a Variable Number of Servers and Group Services

Document Type

Conference Proceeding

Publication Date

2002

Publication Title

World Scientific

Conference Name

Matrix-Analytic Methods Theory and Applications Proceedings of the Fourth International Conference

Abstract

In this paper, we consider a multi-server queuing model with a finite buffer in which customers arrive according to a batch Markovian arrival process (BMAP). These customers are served in groups of varying sizes ranging from a predetermined value L through a maximum size, K. The service times are exponentially distributed. The number of servers in the system at any given time varies between a lower limit and an upper limit. The steady state analysis of the model is performed by exploiting the structure of the coefficient matrices. Some interesting numerical examples are discussed.

Rights Statement

Copyright© 2018 World Scientific Publishing Co Pte Ltd

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