Failure models and throughput rate of transfer lines

Iyad Mourani; Sophie Hennequin; Xiaolan Xie

emse-00449370, version 1

Failure models and throughput rate of transfer lines

Iyad Mourani ^1, 2, Sophie Hennequin ^1, 2, Xiaolan Xie () ^3, 4, 5

International Journal of Production Research 45, 8 (2007) 1835-1859

Résumé : This paper addresses the impact of failure models on the performance of transfer lines composed of N machines separated by N - 1 buffers. The two most used failure models, operation-dependent failures (ODF) and time-dependent failures (TDF), are considered. A machine subject to TDF can fail even it is not working on a part. A machine subject to ODF cannot fail if it is not working on a part. A transfer line considered in this paper contains both machines subject to TDF and machines subject to ODF. Up times, repair times and processing times are continuous random variables of general distribution. We prove that modelling a machine subject to ODF of a transfer line as a machine subject to TDF, as usually done in the literature, leads to under-estimation of the throughput rate if the time between failures of the related machine is exponentially distributed while all other times are general random variables. We then propose a timed Petri net approach for performance evaluation and simulation of transfer lines with both machines subject to TDF and machines subject to ODF. Numerical results show that this result holds under more general conditions.

1 : MACSI (INRIA Lorraine - LORIA)
INRIA – CNRS : UMR7503 – Université Henri Poincaré - Nancy I – Université Nancy II – Ecole normale supérieure de Paris - ENS Paris – Institut National Polytechnique de Lorraine (INPL)
2 : Laboratoire de Génie Industriel et de Production Mécanique (LGIPM)
Université Paul Verlaine - Metz – Ecole Nationale d'Ingénieurs de Metz
3 : Centre Ingénierie et Santé (CIS-ENSMSE)
École Nationale Supérieure des Mines - Saint-Étienne
4 : Département Génie Industriel Hospitalier (GIH-ENSMSE)
École Nationale Supérieure des Mines - Saint-Étienne – CIS
5 : Institut Fédératif de Recherche en Sciences et Ingénierie de la Santé (IFRESIS-ENSMSE)
École Nationale Supérieure des Mines - Saint-Étienne – IFR143

Collaboration : INRIA de Metz

emse-00449370, version 1
http://hal-emse.ccsd.cnrs.fr/emse-00449370
oai:hal-emse.ccsd.cnrs.fr:emse-00449370
Contributeur : Andrée-Aimée Toucas <>
Soumis le : Jeudi 21 Janvier 2010, 14:19:30
Dernière modification le : Jeudi 19 Août 2010, 18:23:52

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DOI : 10.1080/00207540600677716

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%% emse-00449370, version 1
%% http://hal-emse.ccsd.cnrs.fr/emse-00449370
@article{mourani:emse-00449370,
    hal_id = {emse-00449370},
    url = {http://hal-emse.ccsd.cnrs.fr/emse-00449370},
    title = {{Failure models and throughput rate of transfer lines}},
    author = {Mourani, Iyad and Hennequin, Sophie and Xie, Xiaolan},
    abstract = {{This paper addresses the impact of failure models on the performance of transfer lines composed of N machines separated by N - 1 buffers. The two most used failure models, operation-dependent failures (ODF) and time-dependent failures (TDF), are considered. A machine subject to TDF can fail even it is not working on a part. A machine subject to ODF cannot fail if it is not working on a part. A transfer line considered in this paper contains both machines subject to TDF and machines subject to ODF. Up times, repair times and processing times are continuous random variables of general distribution. We prove that modelling a machine subject to ODF of a transfer line as a machine subject to TDF, as usually done in the literature, leads to under-estimation of the throughput rate if the time between failures of the related machine is exponentially distributed while all other times are general random variables. We then propose a timed Petri net approach for performance evaluation and simulation of transfer lines with both machines subject to TDF and machines subject to ODF. Numerical results show that this result holds under more general conditions.}},
    keywords = {Transfer lines ; throughput rate ; operation-dependent failures ; time-dependent failures ; timed Petri net},
    language = {Anglais},
    affiliation = {MACSI - INRIA Lorraine - LORIA , Laboratoire de G{\'e}nie Industriel et de Production M{\'e}canique - LGIPM , Centre Ing{\'e}nierie et Sant{\'e} - CIS-ENSMSE , D{\'e}partement G{\'e}nie Industriel Hospitalier - GIH-ENSMSE , Institut F{\'e}d{\'e}ratif de Recherche en Sciences et Ing{\'e}nierie de la Sant{\'e} - IFRESIS-ENSMSE},
    pages = {1835-1859},
    journal = {International Journal of Production Research},
    volume = {45},
    number = {8 },
    audience = {internationale },
    collaboration = {INRIA de Metz },
    doi = {10.1080/00207540600677716 },
    year = {2007},
}

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