POISSON TRAFFIC PROCESSES IN PURE JUMP MARKOV PROCESSES AND GENERALIZED NETWORKS

来源 :系统科学与复杂性学报(英文版) | 被引量 : 0次 | 上传用户:dongjun1964
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In this paper, we present the conditions under which the traffic processes in a pure jump Markov process with a general state space are Poisson processes, and give a simple proof of PASTA type theorem in Melamed (1982) and Walrand (1988).Furthermore, we consider a generalized network with phase type negative arrivals and show that the network has a product-form invariant distribution and its traffic processes which represent the customers exiting from the network are Poisson processes.
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