| Poisson Traffic Processes in RGSMP and Generalized Networks |
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| 作者姓名： | CHENG-XUAN CAO GUANG-HUI HSU |
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| 作者单位： | CHENG-XUAN CAO; GUANG-HUI HSU(Institute of Applied Mathematics，Chinese Academy of Sciences，Beijing，100080，CHINA)(Asian-Pacific Operations Research Center within CAS arid APORS) |
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| 摘 要： | 1.Introductiontrafficprocessesinqueueingnetworksareanimportantoperatingfacetofsuchmodels,aswellasvaluableinthestudyofvaliddecompositionsofnetworks.IfwefindsometrafficprocessesinanetworkPoisson,thenitoftenrendersthemathematicalanalysistractable.Generalized…
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Poisson Traffic Processes in RGSMP and Generalized Networks |
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| CHENG-XUAN CAO, GUANG-HUI HSU.Poisson Traffic Processes in RGSMP and Generalized Networks[J].OR Transactions,1997(1). |
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| Authors: | CHENG-XUAN CAO GUANG-HUI HSU |
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| Abstract: | In this paper, we present conditions under which the traffic processes in a generalized semi-Markov process with reallocation (RGSMP) are Poison processes, and givean easy-to-use criterion for the quasi-reversibility of queues which can be described byRGSMP's. By applying these results to a multiple class generalized network with generalservice time distributions, we prove that its stationary state distribution is of a productform and the traffic processes which represent the customers exiting the network arePoisson processes. |
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| Keywords: | Dual predictable projection Negative arrival RGSMP Generalized network Poisson process Traffic process |
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