Department of Statistics, Payame Noor University, Tehran, Iran
Abstract
In this article, the optimal model is determined for the family of models {Er/M/2,r = 1,2,···} with interarrival times with Erlang distribution and service times with exponential distribution. The method of choosing the optimal model is that first, a cost function is introduced, and then a new index is introduced according to the cost function and the stationary probability of the system called SER. A model with a larger SER index is optimal. Also, to describe the method used in this article to determinine the optimal model, the Monte Carlo simulation method and numerical example are used.
