Abstract
AbstractIn this paper, we propose an alternative method to obtain the limiting distribution of number in system for bulk-arrival queues of the type MX/G/1. The method discussed is based on easily obtainable roots of the associated characteristic equation of the model. It is also shown that the tail probabilities can be obtained much more easily. Numerical aspects have been tested for a variety of service-time distributions such as mixed generalized Erlang, generalized Erlang, generalized hyperexponential, etc., and only representative results have been included in the form of tables and graphs. As the model MX/G/1 has wide applications, it is hoped that the results presented here might be of use to queueing theorists, practitioners, and others.
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