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Extension of dynamic programming models for management optimization from single structure to multi-structures level

Author

Listed:
  • Rafic Faddoul

    (ESIB - Ecole supérieure d'ingénieurs de Beyrouth - USJ - Université Saint-Joseph de Beyrouth)

  • Abdul-Hamid Soubra

    (TRUST - Contrôle de santé fiabilité et calcul des structures - GeM - Institut de Recherche en Génie Civil et Mécanique - UN UFR ST - Université de Nantes - UFR des Sciences et des Techniques - UN - Université de Nantes - ECN - École Centrale de Nantes - CNRS - Centre National de la Recherche Scientifique)

  • Wassim Raphael

    (ESIB - Ecole supérieure d'ingénieurs de Beyrouth - USJ - Université Saint-Joseph de Beyrouth)

  • Alaa Chateauneuf

    (LAMI - Laboratoire de Mécanique et Ingénieries - IFMA - Institut Français de Mécanique Avancée - UBP - Université Blaise Pascal - Clermont-Ferrand 2)

Abstract

The aim of this article is the management optimisation (inspection, maintenance and rehabilitation (IM&R)) of a group of structures. It is supposed that the optimisation is constrained by limited available budget at the beginning of each time period during the entire time horizon thus creating an economical dependence between the decisions related to each of the structures. A Lagrangian relaxation technique is used for the extension of existing dynamic programming methods from single structure to multi-structures level. The methodology is illustrated by using a Generalised Partially Observable Markov Decision Process having a decision tree composed of a sequence of two decisions at the beginning of each time period, namely an inspection decision followed by a maintenance action decision. A numerical example concerning the optimisation of IM&R of 16 different bridges is presented.

Suggested Citation

  • Rafic Faddoul & Abdul-Hamid Soubra & Wassim Raphael & Alaa Chateauneuf, 2013. "Extension of dynamic programming models for management optimization from single structure to multi-structures level," Post-Print hal-01006860, HAL.
  • Handle: RePEc:hal:journl:hal-01006860
    DOI: 10.1080/15732479.2011.557082
    Note: View the original document on HAL open archive server: https://hal.science/hal-01006860
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    References listed on IDEAS

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    Cited by:

    1. Bismut, Elizabeth & Straub, Daniel, 2021. "Optimal adaptive inspection and maintenance planning for deteriorating structural systems," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    2. Rafic Faddoul & Wassim Raphael & Abdul-Hamid Soubra & Alaa Chateauneuf, 2013. "Incorporating Bayesian networks in Markov Decision Processes," Post-Print hal-01006963, HAL.
    3. Faddoul, R. & Raphael, W. & Chateauneuf, A., 2018. "Maintenance optimization of series systems subject to reliability constraints," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 179-188.

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