“…The distribution of is given by if if (9) By using the distribution of [ (9)], the distribution of [ (8)] can be evaluated using matrix inversion. The mean number of packets that enter the switch in a given time slot, , is the mean of the binomial distribution associated with the random variable, , and hence, (10) The mean number of packets that are dropped in a time slot, , is the mean number of packets represented by that exceeds the number of FDLs, , and hence, (11) Thus, the probability of blocking of the switch, , is the ratio of the mean number of packets that are dropped to the mean number of packets that enter the switch in a given time slot. Thus, (12) The utilization of the FDLs is load dependent.…”