Output Process from a Continuous Token Ring Local area Network

We consider a token ring local area network (LAN) with an infinite number of nodes uniformly distributed around the ring. A token that circulates around the ring at a constant speed stops to “serve” fixed length packets that are generated by the nodes. We assume that the cumulative arrival process of packets constitutes a two-dimensional Poisson process. Given a fixed point on the ring, called the origin, we obtain the first-order statistics of the interarrival times of packets at the origin in the form of their Laplace—Stieltjes transform. © 1992 IEEE