Analysis of the GIX/M/c model

摘要

In this paper, the GIX/M/c queueing model is analyzed. An explicit expression of the generating function of equilibrium probabilities of customer numbers in the system for the model is derived. Based on the generating function, it is proved that the equilibrium probabilities are given by a linear combination of some geometric terms. Due to this result, other interesting measures are also considered without difficulty. Examples and numerical results are given.