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

Document Type

Conference Proceeding

Publication Date


Publication Title

World Scientific

Conference Name

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


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.

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