Simulation of waiting line systems with queue length dependent parameters

A queueing system is simulated in which the arrival and service rates are functions of the number of customers in the system. This type of system has been suggested as being more representative of real queueing situations than is the usual “simple” queue with constant arrival and service rates. A modification of the “time of next event” simulation method is required since an arrival to the queue changes the distribution of residual service time of the customer being served and the departure of a customer changes the distribution of the time of the next arrival. The primary purpose of the simulation is to examine the statistical problems involved in estimating the system parameters.