Poisson Traffic Processes in RGSMP and Generalized Networks

作     者：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) 

出 版 物：《运筹学学报(中英文)》 (Operations Research Transactions)

年 卷 期：1997年第1期

页      面：29-40页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070105[理学-运筹学与控制论] 0701[理学-数学] 

主　　题：Dual predictable projection Negative arrival RGSMP, Generalized network Poisson process Traffic process 

摘      要：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.