On effect of model parameters on departure process in a production system with failures

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

doi:10.4028/www.scientific.net/AMR.1036.927

On effect of model parameters on departure process in a production system with failures

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

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Abstrakt

A queueing system of the M/M/1/N type with cyclic failure-free and repair times is used as a model of a single-machine manufacturing line. Jobs arrive according to a Poisson process and are being served with exponentially distributed processing time. Successive working (failure-free) and repair times have exponential distributions, too. Basing on a system of integral equations for double transforms of conditional probability distributions of the number of jobs completely processed before the fixed time (departure process), comprehensive numerical analysis of the impact of system parameters on the mean number of departures before the fixed epoch T>0 is carried out.

Język oryginału	angielski
Tytuł publikacji goszczącej	Modern Technologies in Industrial Engineering II
Redaktorzy	Alexander Mikhaylov, Dumitru Nedelcu, Alexei Toca, Andrzej Wrobel, Constantin Carausu, Emil Oanta
Wydawca	Trans Tech Publications Ltd.
Strony	927-932
Liczba stron	6
ISBN (elektroniczny)	9783038352556
Identyfikatory DOI	https://doi.org/10.4028/www.scientific.net/AMR.1036.927
Status publikacji	Opublikowano - 2014

Seria publikacji

Nazwa	Advanced Materials Research
Tom	1036
ISSN (drukowany)	1022-6680
ISSN (elektroniczny)	1662-8985

Cele SDG ONZ

Ten wynik przyczynia się do realizacji następujących celów zrównoważonego rozwoju

Cel 9 Przemysł, innowacje i infrastruktura

Obszary tematyczne ASJC Scopus

Inżynieria ogólna

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Cytowanie

Kempa, W. M., Paprocka, I., Grabowik, C., & Kalinowski, K. (2014). On effect of model parameters on departure process in a production system with failures. W A. Mikhaylov, D. Nedelcu, A. Toca, A. Wrobel, C. Carausu, & E. Oanta (Red.), Modern Technologies in Industrial Engineering II (str. 927-932). (Advanced Materials Research; Tom 1036). Trans Tech Publications Ltd.. https://doi.org/10.4028/www.scientific.net/AMR.1036.927

Kempa, Wojciech M. ; Paprocka, Iwona ; Grabowik, Cezary i in. / On effect of model parameters on departure process in a production system with failures. Modern Technologies in Industrial Engineering II. redaktor / Alexander Mikhaylov ; Dumitru Nedelcu ; Alexei Toca ; Andrzej Wrobel ; Constantin Carausu ; Emil Oanta. Trans Tech Publications Ltd., 2014. str. 927-932 (Advanced Materials Research).

@inproceedings{dacb476a00064ec1b16ddc2cffda0d2d,

title = "On effect of model parameters on departure process in a production system with failures",

abstract = "A queueing system of the M/M/1/N type with cyclic failure-free and repair times is used as a model of a single-machine manufacturing line. Jobs arrive according to a Poisson process and are being served with exponentially distributed processing time. Successive working (failure-free) and repair times have exponential distributions, too. Basing on a system of integral equations for double transforms of conditional probability distributions of the number of jobs completely processed before the fixed time (departure process), comprehensive numerical analysis of the impact of system parameters on the mean number of departures before the fixed epoch T>0 is carried out.",

keywords = "Departure process, Finite magazine capacity, Production line, Repair time, Working time",

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

note = "Publisher Copyright: {\textcopyright} (2014) Trans Tech Publications, Switzerland.",

year = "2014",

doi = "10.4028/www.scientific.net/AMR.1036.927",

language = "English",

series = "Advanced Materials Research",

publisher = "Trans Tech Publications Ltd.",

pages = "927--932",

editor = "Alexander Mikhaylov and Dumitru Nedelcu and Alexei Toca and Andrzej Wrobel and Constantin Carausu and Emil Oanta",

booktitle = "Modern Technologies in Industrial Engineering II",

address = "Switzerland",

}

Kempa, WM , Paprocka, I , Grabowik, C & Kalinowski, K 2014, On effect of model parameters on departure process in a production system with failures. w A Mikhaylov, D Nedelcu, A Toca, A Wrobel, C Carausu & E Oanta (red), Modern Technologies in Industrial Engineering II. Advanced Materials Research, tom 1036, Trans Tech Publications Ltd., str. 927-932. https://doi.org/10.4028/www.scientific.net/AMR.1036.927

On effect of model parameters on departure process in a production system with failures. / Kempa, Wojciech M.; Paprocka, Iwona ; Grabowik, Cezary i in.
Modern Technologies in Industrial Engineering II. red. / Alexander Mikhaylov; Dumitru Nedelcu; Alexei Toca; Andrzej Wrobel; Constantin Carausu; Emil Oanta. Trans Tech Publications Ltd., 2014. str. 927-932 (Advanced Materials Research; Tom 1036).

Wyniki badań: Rozdział w książce/raport/materiał konferencyjny › Wkład w konferencję › recenzja

TY - GEN

T1 - On effect of model parameters on departure process in a production system with failures

AU - Kempa, Wojciech M.

AU - Paprocka, Iwona

AU - Grabowik, Cezary

AU - Kalinowski, Krzysztof

N1 - Publisher Copyright: © (2014) Trans Tech Publications, Switzerland.

PY - 2014

Y1 - 2014

N2 - A queueing system of the M/M/1/N type with cyclic failure-free and repair times is used as a model of a single-machine manufacturing line. Jobs arrive according to a Poisson process and are being served with exponentially distributed processing time. Successive working (failure-free) and repair times have exponential distributions, too. Basing on a system of integral equations for double transforms of conditional probability distributions of the number of jobs completely processed before the fixed time (departure process), comprehensive numerical analysis of the impact of system parameters on the mean number of departures before the fixed epoch T>0 is carried out.

AB - A queueing system of the M/M/1/N type with cyclic failure-free and repair times is used as a model of a single-machine manufacturing line. Jobs arrive according to a Poisson process and are being served with exponentially distributed processing time. Successive working (failure-free) and repair times have exponential distributions, too. Basing on a system of integral equations for double transforms of conditional probability distributions of the number of jobs completely processed before the fixed time (departure process), comprehensive numerical analysis of the impact of system parameters on the mean number of departures before the fixed epoch T>0 is carried out.

KW - Departure process

KW - Finite magazine capacity

KW - Production line

KW - Repair time

KW - Working time

UR - https://www.scopus.com/pages/publications/84922385140

U2 - 10.4028/www.scientific.net/AMR.1036.927

DO - 10.4028/www.scientific.net/AMR.1036.927

M3 - Conference contribution

AN - SCOPUS:84922385140

T3 - Advanced Materials Research

SP - 927

EP - 932

BT - Modern Technologies in Industrial Engineering II

A2 - Mikhaylov, Alexander

A2 - Nedelcu, Dumitru

A2 - Toca, Alexei

A2 - Wrobel, Andrzej

A2 - Carausu, Constantin

A2 - Oanta, Emil

PB - Trans Tech Publications Ltd.

ER -

Kempa WM , Paprocka I , Grabowik C , Kalinowski K. On effect of model parameters on departure process in a production system with failures. W Mikhaylov A, Nedelcu D, Toca A, Wrobel A, Carausu C, Oanta E, redaktorzy, Modern Technologies in Industrial Engineering II. Trans Tech Publications Ltd. 2014. str. 927-932. (Advanced Materials Research). doi: 10.4028/www.scientific.net/AMR.1036.927

On effect of model parameters on departure process in a production system with failures

Abstrakt

Seria publikacji

Cele SDG ONZ

Obszary tematyczne ASJC Scopus

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