Implications of Burke's Theorem Arrivals time Departures Since the arrivals in forward time form a poisson process, the departures in backward time form a Poisson process Since the backward process is statistically the same as the forward process, the(forward)departure process is Poisson By the same ty pe of argument, the state( packets in system) left by a (forward) departure is independent of the past departures In backward process the state is independent of future arrivalsImplications of Burke’s Theorem time Arrivals Departures time • Since the arrivals in forward time form a Poisson process, the departures in backward time form a Poisson process • Since the backward process is statistically the same as the forward process, the (forward) departure process is Poisson • By the same type of argument, the state (packets in system) left by a (forward) departure is independent of the past departures – In backward process t he state is independent of future arrivals Eytan Modiano Slide 4