Analysis of Transient Virtual Delay in a Finite-Buffer Queueing Model with Generally Distributed Setup Times

被引：1
|
作者：
Kempa, Wojciech M. [2 ]
Kurzyk, Dariusz [1 ,2 ]
机构：
[1] Polish Acad Sci, Inst Theoret & Appl Informat, Baltycka 5, PL-44100 Gliwice, Poland
[2] Silesian Tech Univ, Inst Math, Kaszubska 23, PL-44100 Gliwice, Poland
来源：
COMPUTER AND INFORMATION SCIENCES, ISCIS 2016 | 2016年 / 659卷
关键词：
D O I：
10.1007/978-3-319-47217-1_19
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Time-dependent queueing delay (virtual waiting time) distribution conditioned by the initial level of buffer saturation is considered in a finite model with Poisson arrivals, generally distributed service times and setup times preceding the first processing in each busy period. Applying theoretical approach based on the idea of embedded Markov chain, integral equations and some results from linear algebra, a compact-form representation for the Laplace transform of queueing delay distribution is obtained. Analytical results are illustrated via numerical considerations confirmed by process-based discrete-event simulations.
引用
收藏
页码：175 / 184
页数：10
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