Inter-arrival times Time that elapses between arrivals(A) P(A<=t)=1-P(A>t) =1-P(0 arrivals in time t This is known as the exponential distribution Inter-arrival CDF FIA(t=1-e-t Inter-arrival PDF d/dt Fa(t=he-t The exponential distribution is often used to model the service times(e the packet length distributionInter-arrival times • Time that elapses between arrivals (IA) P(IA <= t) = 1 - P(IA > t) = 1 - P(0 arrivals in time t) = 1 - e-λt • This is known as the exponential distribution – Inter-arrival CDF = FIA (t) = 1 - e-λt – Inter-arrival PDF = d/dt FIA(t) = λe-λt • The exponential distribution is often used to model the service times (I.e., the packet length distribution) Eytan Modiano Slide 6