Analytically Simple and Computationally Efficient Results for the GIXGeoc Queues

الملخص EN

A simple solution to determine the distributions of queue-lengths at different observation epochs for the model GIX/Geo/c is presented.

In the past, various discrete-time queueing models, particularly the multiserver bulk-arrival queues, have been solved using complicated methods that lead to incomplete results.

The purpose of this paper is to use the roots method to solve the model GIX/Geo/c that leads to a result that is analytically elegant and computationally efficient.

This method works well even for the case when the inter-batch-arrival times follow heavy-tailed distributions.

The roots of the underlying characteristic equation form the basis for all distributions of queue-lengths at different time epochs.