The Entropy and Delay of Traffic Processes in Atm Networks
نویسندگان
چکیده
In this paper we discuss the application of some recent results obtained from studying the asymptotics and the entropy of flows in large queueing systems to the analysis of entropy variations of traffic processes in ATM networks. We argue that certain important queueing nodes/networks (e.g. ·/M/1, ·/GI/∞ nodes and Jackson networks) are entropy increasing in nature, in that the entropy of the arrival process to such a node/network is strictly less than the entropy of the departure process except when the arrival process is Poisson (which has maximum entropy). The entropy increasing nature of ·/GI/∞ queues is established for a class of input processes. Based on these entropy maximization results and with the aid of some simulations, we investigate the connection between the entropy and delay of ATM traffic processes, and examine the effectiveness of entropy as a measure of “burstiness” of traffic streams in ATM virtual circuits.
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