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New Ways in Municipal Flood Mitigation: a Mixed-Integer Programming Approach and its Practical Application

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  • Jan Boeckmann

    (Weihenstephan-Triesdorf University of Applied Sciences
    Technical University of Munich)

  • Clemens Thielen

    (Weihenstephan-Triesdorf University of Applied Sciences
    Technical University of Munich)

Abstract

Adapting to the consequences of climate change is one of the central challenges faced by humanity in the next decades. One of these consequences are intense heavy rain events, which can cause severe damage to buildings due to flooding. In this paper, we present the first use of optimization techniques that scales well enough to be applicable for supporting decision-making in planning precautionary measures for flash floods caused by heavy rain events in realistic scenarios. Our mixed-integer programming model has been implemented as an innovative decision support tool in the form of a web application, which has already been used by more than 30 engineering offices, municipalities, universities, and other institutions. The model aims to minimize the damage caused in the case of a heavy rain event by taking best-possible actions subject to a limited budget and constraints on the cooperation of residents. We further present an efficient, graph-based representation and preprocessing of the surface terrain, a combinatorial algorithm for computing an initial solution of the mixed-integer program, and computational results obtained on real-word data from different municipalities.

Suggested Citation

  • Jan Boeckmann & Clemens Thielen, 2023. "New Ways in Municipal Flood Mitigation: a Mixed-Integer Programming Approach and its Practical Application," SN Operations Research Forum, Springer, vol. 4(4), pages 1-68, December.
    • Handle: RePEc:spr:snopef:v:4:y:2023:i:4:d:10.1007_s43069-023-00246-z
    DOI: 10.1007/s43069-023-00246-z
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    References listed on IDEAS

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    1. Daniel Che & Larry Mays, 2015. "Development of an Optimization/Simulation Model for Real-Time Flood-Control Operation of River-Reservoirs Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(11), pages 3987-4005, September.
    2. Michelle Woodward & Zoran Kapelan & Ben Gouldby, 2014. "Adaptive Flood Risk Management Under Climate Change Uncertainty Using Real Options and Optimization," Risk Analysis, John Wiley & Sons, vol. 34(1), pages 75-92, January.
    3. Zwaneveld, P. & Verweij, G. & van Hoesel, S., 2018. "Safe dike heights at minimal costs: An integer programming approach," European Journal of Operational Research, Elsevier, vol. 270(1), pages 294-301.
    4. Ruud Brekelmans & Dick den Hertog & Kees Roos & Carel Eijgenraam, 2012. "Safe Dike Heights at Minimal Costs: The Nonhomogeneous Case," Operations Research, INFORMS, vol. 60(6), pages 1342-1355, December.
    5. Soheyl Khalilpourazari & Seyed Hamid Reza Pasandideh, 2021. "Designing emergency flood evacuation plans using robust optimization and artificial intelligence," Journal of Combinatorial Optimization, Springer, vol. 41(3), pages 640-677, April.
    6. Michael Holzhauser & Sven O. Krumke & Clemens Thielen, 2017. "Maximum flows in generalized processing networks," Journal of Combinatorial Optimization, Springer, vol. 33(4), pages 1226-1256, May.
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