DIFFUSION-APPROXIMATION TO A QUEUING SYSTEM WITH TIME-DEPENDENT ARRIVAL AND SERVICE RATES

被引：30

作者：

DICRESCENZO, A ^{[1
]}

NOBILE, AG ^{[1
]}

机构：

[1] UNIV SALERNO, DIPARTIMENTO INFORMAT & APPLICAZ, I-84081 BARONISSI, ITALY

来源：

QUEUEING SYSTEMS | 1995年 / 19卷 / 1-2期

关键词：

ADAPTIVE QUEUING SYSTEMS; FELLER PROCESS; BUSY PERIOD; 1ST PASSAGE TIME;

D O I：

10.1007/BF01148939

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A time nonhomogeneous diffusion approximation to a single server-single queue service system is obtained. Under various assumptions on the time-dependent functions appearing in the infinitesimal moments, transient and steady-state behaviour are analyzed. In particular, a diffusion approximation characterized by space-linear and time-varying moments is studied. The density of the busy period and the probability for the busy period to terminate are obtained. Finally, estimates of the goodness of the diffusion approximation are given.

引用

页码：41 / 62

页数：22

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