Étude et simulation du phénomène d'attente dans un système bancaire Approximations des mésures de performances des files d'attente M/G/c

Adjustment tests show that arrival times and service times in a banking queueing system of a case study led to the model M/¡(fi;fl)/c. There are no analytical formulae to calculate perfor- mance measures of such a model. In this article, we generalize Pollazeck-Khitchinne's formula to establish approximate formulae of these measures and we present a simulator that calculates per- formance measures of A/B/c queueing system where A, B can be one of the following distributions: determinist, exponential, Erlang or Gamma. We verify the theory according to which the type of orga- nization of the queue (an unique queue for all the servers or multiple queues where each server has his/her own queue) does not influence the performance measures of the queueing system.