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Dynamic Behaviour of N-Stage Transfer Lines with Unreliable Machines and Finite Buffers

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Analysis and Optimization of Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 83))

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Abstract

An important class of production systems are modeled by N-stage buf-fered transfer lines. The system states consists of the operational conditions of the workstations and the levels of the material in the buffers.

The purpose of this paper is to study the asymptotic behaviour of the inner-state trasient density functions. We show the convergence towards a steady-state with exponential speed.

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Bibliography

  1. BUZACOTT J.A., Automatic Transfer Lines with Buffer Stocks, The International Journal of production Research (1967), vol.5, n°3.

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  3. DUBOIS D. et FORESTIER J.P., Productivité et en-cours Moyens d’un ensemble de deux machines séparées par une zone de stockage. RAIRO Automatique, Vol 16, n° 2, 1982, p. 105 a 132.

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  4. GERSHWIN S.B. and SCKICK I.C. (1980), Modeling and analysis of two -and three- stage transfer lines with unrelible machines and finite buffers. MIT laboratory for Information and Decision Systems Report LIDS-R-1039.

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  5. COILLARD P., et PROTH J.M., Effet des stocks tampons dans une fabrication en ligne. Revue Belge de statistique, d’information et de recherche opérationnelle, vol. 24, n° 2.

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  6. WESFREID Eva, Dynamic behaviour of an unreliable two-machines transfer line. Rapport de Recherche INRIA n° 421, juillet 1985.

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Author information

Authors and Affiliations

  1. INRIA, Proget SAGEP, ROCQUECOURT, 78153, Le Chesnay Cedex, France

    Wesfreid Eva

Authors
  1. Wesfreid Eva
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Editor information

Editors and Affiliations

  1. Institut National de Recherche en Informatique et en Automatique, INRIA, Domaine de Voluceau, Rocquencourt, B.P. 105, 78153, Le Chesnay, France

    A. Bensoussan  & J. L. Lions  & 

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© 1986 Springer Science+Business Media Dordrecht

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Eva, W. (1986). Dynamic Behaviour of N-Stage Transfer Lines with Unreliable Machines and Finite Buffers. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 83. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0007560

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  • DOI: https://doi.org/10.1007/BFb0007560

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16729-7

  • Online ISBN: 978-3-540-39856-1

  • eBook Packages: Springer Book Archive

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