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Reliability-Based System-Level Optimization of Bridge Maintenance and Replacement Decisions

Author

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  • Charles-Antoine Robelin

    (Amadeus s.a.s., Sophia Antipolis 06902, France)

  • Samer M. Madanat

    (Department of Civil and Environmental Engineering, University of California, Berkeley, Berkeley, California 94720)

Abstract

This paper addresses the problem of optimizing bridge maintenance and replacement (M&R) decisions for a heterogeneous system of facilities. The objective is to determine optimal M&R policies for each facility over a finite planning horizon based on the knowledge of the current facilities conditions and on the prediction of future conditions. The system-level problem is based on the results of an M&R optimization problem for each facility. The results of the facility-level optimization are incorporated in a reliability-based, bottom-up, system-level formulation that provides recommendations for each individual facility. We derive sufficient conditions for optimality and prove the result for the continuous case. A parametric study shows that the results obtained in the discrete-case implementation of the solution are valid approximations of the continuous case results. The computational efficiency of the system-level solution makes the formulation suitable for systems of realistic sizes.

Suggested Citation

  • Charles-Antoine Robelin & Samer M. Madanat, 2008. "Reliability-Based System-Level Optimization of Bridge Maintenance and Replacement Decisions," Transportation Science, INFORMS, vol. 42(4), pages 508-513, November.
    • Handle: RePEc:inm:ortrsc:v:42:y:2008:i:4:p:508-513
    DOI: 10.1287/trsc.1080.0241
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    References listed on IDEAS

    as
    1. Madanat, S M & Park, Sejung & Kuhn, K D, 2006. "Adaptive Optimization and Systematic Probing of Infrastructure System Maintenance Policies under Model Uncertainty," University of California Transportation Center, Working Papers qt4fb7k5rc, University of California Transportation Center.
    2. Kamal Golabi & Richard Shepard, 1997. "Pontis: A System for Maintenance Optimization and Improvement of US Bridge Networks," Interfaces, INFORMS, vol. 27(1), pages 71-88, February.
    3. Kuhn, Kenneth D. & Madanat, Samer M., 2005. "Model Uncertainty and the Management of a System of Infrastructure Facilities," University of California Transportation Center, Working Papers qt6c84b9b4, University of California Transportation Center.
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    Citations

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    Cited by:

    1. Sathaye, Nakul & Madanat, Samer, 2011. "A bottom-up solution for the multi-facility optimal pavement resurfacing problem," Transportation Research Part B: Methodological, Elsevier, vol. 45(7), pages 1004-1017, August.
    2. Lee, Jinwoo & Madanat, Samer, 2015. "A joint bottom-up solution methodology for system-level pavement rehabilitation and reconstruction," Transportation Research Part B: Methodological, Elsevier, vol. 78(C), pages 106-122.
    3. Fecarotti, Claudia & Andrews, John & Pesenti, Raffaele, 2021. "A mathematical programming model to select maintenance strategies in railway networks," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    4. Verbert, K. & De Schutter, B. & Babuška, R., 2017. "Timely condition-based maintenance planning for multi-component systems," Reliability Engineering and System Safety, Elsevier, vol. 159(C), pages 310-321.
    5. Sathaye, Nakul & Madanat, Samer, 2012. "A bottom-up optimal pavement resurfacing solution approach for large-scale networks," Transportation Research Part B: Methodological, Elsevier, vol. 46(4), pages 520-528.

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