A Tool for Solving Ph/M/c and Ph/M/c/N Queues

We have developed a free online tool for solving the steady-state behavior of a Ph/M/c queue. The tool has a simple graphical interface, is freely accessible on the Internet and is compatible with most current browsers (queueing-systems. ens-lyon. fr).Based on a recently published simple recurrence method, it provides customary performance measures (i.e., mean number in system, mean waiting time, system utilization, probability of loss, probability of waiting), as well as the complete steady-state distribution for the number of customers in the system. As of the end of 2011, our tool for solving the steady-state behavior of a Ph/M/c queue had close to 15 new visits per day. We plan to add new queues to this tool in the near future (e.g., M/G/1 queue).