A Many Server Bulk Queue

Abstract

In this study the theory of derived Markov chains is applied to a queuing system with n servers and group service. Application to a queuing system with only one server and group service or arrival in batches has been dealt with already. Although the quasi-derived Poisson servicing is not without its restrictions on the batch size distribution, it seems to be the only approach to date that makes the queuing system GI / M ( x ) / n accessible for investigation.