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Optimal Inspection and Replacement Decisions for Multiple Failure Modes

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Probabilistic Safety Assessment and Management

Abstract

Cost functions, associated with the gamma process for modelling deterioration, are extended to include multiple failure modes. The application of these cost functions is demonstrated by an example in the process industry. We consider an elbow in a pipeline, which is susceptible to thinning due to corrosion and stress corrosion cracking. The optimal inspection interval and replacement levels are determined graphically and the effect of data (un)availability on the result is discussed.

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References

  1. M. J. Kallen and J. M. van Noortwijk, “Inspection and maintenance decisions based on imperfect inspections,” in Safety and Reliability — Proceedings of ESREL 2003: European Safety and Reliability Conference, June 15-18, Maastricht, the Netherlands, pp. 873-880, Swets & Zeitlinger, 2003.

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  2. S. M. Ross, Applied Probability Models with Optimization Applications. San Francisco: Holden-Day, Inc., 1970.

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  3. J. M. van Noortwijk, M. Kok, and R. M. Cooke, “Optimal maintenance decisions for the sea-bed protection of the Eastern-Scheldt barrier,” in Engineering Probabilistic Design and Maintenance for Flood Protection (R. M. Cooke, M. Mendel, and H. Vrijling, eds.), pp. 25-56, Kluwer Academic Publishers, 1997.

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  4. D. Broek, Elementary Engineering Fracture Mechanics. Alphen aan de Rijn, The Netherlands: Sijthoff & Noordhoff, 1978.

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Author information

Authors and Affiliations

  1. Delft University of Technology, Delft, Netherlands

    Maarten-Jan Kallen & Jan M. van Noortwijk

  2. HKV Consultants, Lelystad, Netherlands

    Maarten-Jan Kallen & Jan M. van Noortwijk

Authors
  1. Maarten-Jan Kallen
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  2. Jan M. van Noortwijk
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Editor information

Editors and Affiliations

  1. TÜV Süddeutschland, Dudenstrasse 28, D-68167, Mannheim, Germany

    Cornelia Spitzer Dipl.-Math.

  2. Swiss Federal Nuclear Safety Inspectorate (HSK), CH-5232, Villigen-HSK, Switzerland

    Ulrich Schmocker PhD

  3. Paul Scherrer Institut (PSI), CH-5232, Villigen PSI, Switzerland

    Vinh N. Dang PhD

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© 2004 Springer-Verlag London

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Cite this paper

Kallen, MJ., van Noortwijk, J.M. (2004). Optimal Inspection and Replacement Decisions for Multiple Failure Modes. In: Spitzer, C., Schmocker, U., Dang, V.N. (eds) Probabilistic Safety Assessment and Management. Springer, London. https://doi.org/10.1007/978-0-85729-410-4_391

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  • DOI: https://doi.org/10.1007/978-0-85729-410-4_391

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-1057-6

  • Online ISBN: 978-0-85729-410-4

  • eBook Packages: Springer Book Archive

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