INDIVIDUAL OVERFLOW PROCESSES FROM THE M1, M2/M1, M2/S/S LOSS SYSTEM.

The overflow process from the M//1, M//2/M//1, M//2/S/S loss system is analyzed. In order to view the total overflow process for these two types of calls, the Laplace-Stieltjes transform for a semi-Markov kernel is presented, and the coefficient of variation for the inter-overflow time of each type of call is derived. Numerical examples show that the coefficient of variation for calls of shorter holding time increases as the ratio of two types of average holding times increases, but that coefficient of variation for calls of longer holding time decreases. These results provide a basis for the network dimensioning.