Distribution of time to buffer overflow in a finite-buffer manufacturing model with unreliable machine

被引：1

作者：

Kempa, Wojciech M. ^{[1
]}

Paprocka, Iwona ^{[2
]}

Grabowik, Cezary ^{[2
]}

Kalinowski, Krzysztof ^{[2
]}

Krenczyk, Damian ^{[2
]}

机构：

[1] Silesian Tech Univ, Fac Appl Math, Inst Math, 23 Kaszubska Str, PL-44100 Gliwice, Poland

[2] Silesian Tech Univ, Fac Mech Engn, Inst Engn Proc Automat & Integrated Mfg Syst, 18A Konarskiego Str, PL-44100 Gliwice, Poland

来源：

21ST INNOVATIVE MANUFACTURING ENGINEERING & ENERGY INTERNATIONAL CONFERENCE - IMANE&E 2017 | 2017年 / 112卷

关键词：

QUEUING THEORY;

D O I：

10.1051/matecconf/201711205005

中图分类号：

TE [石油、天然气工业]; TK [能源与动力工程];

学科分类号：

0807 ; 0820 ;

摘要：

One of the most important characteristic of each queueing model is time to buffer overflow. In the paper the distribution of that time in a single-channel manufacturing system, modelled by a Markovian finite-buffer queue with machine breakdowns, is studied. By using the analytical approach based on the idea of embedded Markov chain, total probability law and linear algebra, the formula for Laplace transform of the time to buffer overflow conditional distribution is found. Numerical illustration is presented.

引用

页数：6

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