## Tang, Huang, Chen (2000) Internet Flow Blocking Probability Calculation (Canadian Conf on ECE)

This paper derives equations. Assume the Internet operates as $$M$$/Pareto/$$1$$/$$K$$ queues, the flow blocking probability is $$P_B = 1-\dfrac{\Gamma(K)}{m+\lambda\Gamma(K)}$$, where $$\lambda$$ is the arrival rate, $$m$$ is the first busy period (i.e. mean of Pareto), $$\Gamma(K)=\dfrac{m}{1-\rho}(P_0+P_1+...+P_{K-1})$$ is the $$k$$-th busy period, and $$P_j$$ denotes the probability of having $$j$$ customers... [more]