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两服务台串联排队系统的逗留时间的强逼近 被引量:1

Strong Approximation of the Sojourn Time for a Two-Stage Tandem Queue
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摘要 本文考虑了两服务台串联排队,证明了重话务条件(即服务强度ρ1=ρ2=1)下逗留时间的强逼近,此处的逗留时间指的是一个顾客从到达系统到离开系统的这段时间,其强逼近是一个布朗运动的过程. We obtain the strong approximation of the sojourn time progress for a two-stage tandem queue in heavy traffic,that is,the traffic intensity ρ1=ρ2=1.The sojourn time is the period from a customer’s arrival to her departure,and the strong approximation is a function of Brownian motion.
作者 郭永江 张玉艳 GUO Yongjiang;ZHANG Yuyan(School of Science,Beijing University of Posts and Telecommunications,Beijing,100876,China;Shanghai Police College,Shanghai,200137,China)
出处 《应用概率统计》 CSCD 北大核心 2020年第1期1-10,共10页 Chinese Journal of Applied Probability and Statistics
基金 国家自然科学基金项目(批准号:11871116)资助。
关键词 两服务台串联排队 流逼近 强逼近 布朗运动 two-stage tandem queue fluid approximation strong approximation Brownian motion
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