Abstract
The qualitative natures of the transient behaviours of the waiting times in a GI/G/1 system are studied first, when the waiting time of the initial customer is V. For instance, it is shown that the mean waiting time is in-creasing in n only when v < 〓 for some 〓. Next this paper gives a way of calculating exact values of the mean waiting time of the n-th arrival in M/M/1 and M/D/1 and further proposes a simple scale of the rate of convergence to the equilibrium state.
