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

Wojciech M. Kempa; Iwona Paprocka; Cezary Grabowik; Krzysztof Kalinowski; Damian Krenczyk

doi:10.1051/matecconf/201711205005

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

Katedra Metod Matematycznych w Technice i Informatyce (RMS/RMS3)
Katedra Automatyzacji Procesów Technologicznych i Zintegrowanych Systemów Wytwarzania (RMT/RMT2)

Wyniki badań: Wkład do czasopisma › Artykuł z konferencji › recenzja

2 Cytowania z bazy Scopus

Abstrakt

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.

Język oryginału	angielski
Numer artykułu	05005
Czasopismo	MATEC Web of Conferences
Tom	112
Identyfikatory DOI	https://doi.org/10.1051/matecconf/201711205005
Status publikacji	Opublikowano - 3 lip 2017
Wydarzenie	21st Innovative Manufacturing Engineering and Energy International Conference, IManE and E 2017 - Iasi, Rumunia Czas trwania: 24 maj 2017 → 27 maj 2017

Cele SDG ONZ

Ten wynik przyczynia się do realizacji następujących celów zrównoważonego rozwoju

Cel 9 Przemysł, innowacje i infrastruktura

Obszary tematyczne ASJC Scopus

Chemia ogólna
Materiałoznawstwo ogólne
Inżynieria ogólna

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10.1051/matecconf/201711205005

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Cytowanie

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title = "Distribution of time to buffer overflow in a finite-buffer manufacturing model with unreliable machine",

abstract = "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.",

author = "Kempa, \{Wojciech M.\} and Iwona Paprocka and Cezary Grabowik and Krzysztof Kalinowski and Damian Krenczyk",

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AU - Kempa, Wojciech M.

AU - Paprocka, Iwona

AU - Grabowik, Cezary

AU - Kalinowski, Krzysztof

AU - Krenczyk, Damian

PY - 2017/7/3

Y1 - 2017/7/3

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85023624460

U2 - 10.1051/matecconf/201711205005

DO - 10.1051/matecconf/201711205005

M3 - Conference article

AN - SCOPUS:85023624460

SN - 2261-236X

VL - 112

JO - MATEC Web of Conferences

JF - MATEC Web of Conferences

M1 - 05005

T2 - 21st Innovative Manufacturing Engineering and Energy International Conference, IManE and E 2017

Y2 - 24 May 2017 through 27 May 2017

ER -

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

Abstrakt

Cele SDG ONZ

Obszary tematyczne ASJC Scopus

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