HIGHER-ORDER LINDLEY EQUATIONS

被引:17
|
作者
KARPELEVICH, FI
KELBERT, MY
SUHOV, YM
机构
[1] RUSSIAN MINIST TRANSPORT COMMUN,MOSCOW INST TRANSPORT ENGINEERS,MOSCOW 107174,RUSSIA
[2] RUSSIAN ACAD SCI,INT INST EARTHQUAKE PREDICT THEORY & MATH GEOPHYS,MOSCOW 113556,RUSSIA
[3] UNIV COLL SWANSEA,SCH EUROPEAN BUSINESS MANAGEMENT,SWANSEA SA2 8PP,W GLAM,WALES
[4] RUSSIAN ACAD SCI,INST PROBLEMS INFORMAT TRANSMISS,MOSCOW 101447,RUSSIA
关键词
QUEUING NETWORKS; HIGHER-ORDER LINDLEY EQUATIONS; STATIONARY SOLUTIONS;
D O I
10.1016/0304-4149(94)90058-2
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
A model of a queueing network is proposed which leads to a stochastic equation generalizing a standard Lindley equation for a single FCFS server. We study the problem of the existence and uniqueness of a stationary solution to this equation and its connection with random processes on a Cayley tree.
引用
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页码:65 / 96
页数:32
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