Solutions to Queueing Systems

Simple and computationally efficient semi-numerical solutions for the evaluation of the steady-state queue length distribution using conditional probabilities.


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This site presents some of our work related to the numerical analysis of queueing systems.

G/M/c-like queue

The solution to this queue with multiple servers is fast, based on a simple recurrence and numerically stable.


M/G/1-like queue

The solution to this classical queue is fast, based on a simple recurrence and numerically stable.


M/G/c-like queue (Beta version)

The solution to this classical queue is based on a simple yet accurate approximation.


More to come

G/G/1-like queue, G/G/c-like queue,... Under construction

Compatible browsers

This site is compatible with the following browsers:

If you use IE 8.0, the steady-state distribution for the number of customers in the system will not be displayed as a plot, but instead as a table since svg format is not supported.

Acknowledgement

Thanks to Dominique Ponsard and Lucas Delobelle.

Authors

Alexandre Brandwajn and Thomas Begin.



Last update: June 2012