| POISSON TRAFFIC PROCESSES IN PURE JUMP MARKOV PROCESSES AND GENERALIZED NETWORKS |
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| 作者姓名： | CAO Chengxuan |
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| 作者单位： | CAO Chengxuan (School of Management，University of Science and Technology Beijing，Beijing 100083，China) XU Guanghui (Institute of Applied Mathematics，Chinese Academy of Sciences，Beijing 100080，China) |
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| 基金项目： | This research is supported by the National Natural Science Foundation of China. |
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| 摘 要： | 1 IlltroductionThaffic processes in a Markov process are point processes associated with the jurnp epochsof the Markov process and their behavior can be described in terms of the characteristics ofthe MaxkOv process. The study of traffic processes is conducive to a better Understanding ofstochastic systems and networks in manufacturing, telecorn-mu-nicatiolls, computer design andperformance evaluation, etc. Since the stochastic systems and networks with Poisson trafficprocesses are much more…
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POISSON TRAFFIC PROCESSES IN PURE JUMP MARKOV PROCESSES AND GENERALIZED NETWORKS |
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| CAO Chengxuan.POISSON TRAFFIC PROCESSES IN PURE JUMP MARKOV PROCESSES AND GENERALIZED NETWORKS[J].Journal of Systems Science and Complexity,2001(4). |
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| Authors: | CAO Chengxuan |
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| Abstract: | 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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| Keywords: | Dual predictable projection negative arrival ph-distribution generalized network traffic process |
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