[hal-01076366] Reducing the complexity of the performance analysis of a multi- server facilities

Systems with multiple servers are common in many areas and their correct dimensioning is in general a difficult problem under realistic assumptions on the pattern of user arrivals and service time distribution We present an approximate solution for the underlying Ph/Ph/c/N queueing model Our approximation decomposes the solution of the Ph/Ph/c/N queue into solutions of simpler M/Ph/c/N and Ph/M/c/N queues It is conceptually simple easy to implement and produces generally accurate results for the mean number in the system as well as the loss probability A significant speed advantage compared to the numerical solution of the full Ph/Ph/c/N queue can be gained as the number of phases representing the arrival process and/or the number of servers increases



from HAL : Dernières publications http://ift.tt/12YLAWB