IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v270y2018i1p294-301.html
   My bibliography  Save this article

Safe dike heights at minimal costs: An integer programming approach

Author

Listed:
  • Zwaneveld, P.
  • Verweij, G.
  • van Hoesel, S.

Abstract

Optimal dike heights are of crucial importance to the Netherlands as almost 60% of its surface is under threat of flooding from sea, lakes, or rivers. This area is protected by more than 3500 kilometres of dunes and dikes. These dunes and dikes require substantial annual investments of over 1 billion euro. In this paper we propose an integer programming model for a cost-benefit analysis to determine optimal dike heights. We improve upon the model proposed by Brekelmans, den Hertog, Roos and Eijgenraam (2012). Our model provides an alternative approach with almost complete flexibility towards input-parameters for flood probabilities, damage costs and investment costs for dike heightening. We present an easy-to-implement algorithm that provides an optimal solution to the problem. The method has been implemented and tested for the most recent data on flood probabilities, damage and investment costs, which were recently used by the government to determine the new safety standards in the Dutch Water Act.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:270:y:2018:i:1:p:294-301
    DOI: 10.1016/j.ejor.2018.03.012
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221718302212
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2018.03.012?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Zwaneveld, Peter J. & Kroon, Leo G. & van Hoesel, Stan P. M., 2001. "Routing trains through a railway station based on a node packing model," European Journal of Operational Research, Elsevier, vol. 128(1), pages 14-33, January.
    2. Carel Eijgenraam & Ruud Brekelmans & Dick den Hertog & Kees Roos, 2017. "Optimal Strategies for Flood Prevention," Management Science, INFORMS, vol. 63(5), pages 1644-1656, May.
    3. Oecd, 2007. "Use of Discount Rates in the Estimation of the Costs of Inaction with Respect to Selected Environmental Concerns," OECD Papers, OECD Publishing, vol. 7(9), pages 1-42.
    4. Atamturk, Alper & Nemhauser, George L. & Savelsbergh, Martin W. P., 2000. "Conflict graphs in solving integer programming problems," European Journal of Operational Research, Elsevier, vol. 121(1), pages 40-55, February.
    5. 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.
    6. Carel Eijgenraam, 2006. "Optimal safety standards for dike-ring areas," CPB Discussion Paper 62, CPB Netherlands Bureau for Economic Policy Analysis.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Graeme Guthrie, 2019. "Real options analysis of climate-change adaptation: investment flexibility and extreme weather events," Climatic Change, Springer, vol. 156(1), pages 231-253, September.
    2. Peter Zwaneveld & Gerard Verweij, 2018. "Economic Decision Problems in Multi-Level Flood Prevention: a new graph-based approach used for real world applications," CPB Discussion Paper 380.rdf, CPB Netherlands Bureau for Economic Policy Analysis.
    3. G. Guthrie, 2021. "Adapting to Rising Sea Levels: How Short-Term Responses Complement Long-Term Investment," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 78(4), pages 635-668, April.
    4. Klerk, Wouter Jan & Kanning, Wim & Kok, Matthijs & Wolfert, Rogier, 2021. "Optimal planning of flood defence system reinforcements using a greedy search algorithm," Reliability Engineering and System Safety, Elsevier, vol. 207(C).
    5. Peter Zwaneveld & Gerard Verweij, 2018. "Economic Decision Problems in Multi-Level Flood Prevention: a new graph-based approach used for real world applications," CPB Discussion Paper 380, CPB Netherlands Bureau for Economic Policy Analysis.
    6. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Peter Zwaneveld & Gerard Verweij, 2014. "Safe Dike Heights at Minimal Costs: An Integer Programming Approach," CPB Discussion Paper 277, CPB Netherlands Bureau for Economic Policy Analysis.
    2. Peter Zwaneveld & Gerard Verweij, 2014. "Safe Dike Heights at Minimal Costs: An Integer Programming Approach," CPB Discussion Paper 277.rdf, CPB Netherlands Bureau for Economic Policy Analysis.
    3. Postek, Krzysztof & den Hertog, Dick & Kind, J. & Pustjens, Chris, 2016. "Adjustable Robust Strategies for Flood Protection," Discussion Paper 2016-038, Tilburg University, Center for Economic Research.
    4. Chahim, M. & Brekelmans, R.C.M. & den Hertog, D. & Kort, P.M., 2012. "An Impulse Control Approach to Dike Height Optimization (Revised version of CentER DP 2011-097)," Discussion Paper 2012-079, Tilburg University, Center for Economic Research.
    5. Carel Eijgenraam & Ruud Brekelmans & Dick den Hertog & Kees Roos, 2017. "Optimal Strategies for Flood Prevention," Management Science, INFORMS, vol. 63(5), pages 1644-1656, May.
    6. Grames, Johanna & Prskawetz, Alexia & Grass, Dieter & Viglione, Alberto & Blöschl, Günter, 2016. "Modeling the interaction between flooding events and economic growth," Ecological Economics, Elsevier, vol. 129(C), pages 193-209.
    7. den Heijer, Frank & Kok, Matthijs, 2024. "Risk-based portfolio planning of dike reinforcements," Reliability Engineering and System Safety, Elsevier, vol. 242(C).
    8. Bos, Frits & Zwaneveld, Peter, 2017. "Cost-benefit analysis for flood risk management and water governance in the Netherlands; an overview of one century," MPRA Paper 80933, University Library of Munich, Germany.
    9. Peter Zwaneveld & Gerard Verweij, 2018. "Economic Decision Problems in Multi-Level Flood Prevention: a new graph-based approach used for real world applications," CPB Discussion Paper 380.rdf, CPB Netherlands Bureau for Economic Policy Analysis.
    10. Alessio Ciullo & Jan H. Kwakkel & Karin M. De Bruijn & Neelke Doorn & Frans Klijn, 2020. "Efficient or Fair? Operationalizing Ethical Principles in Flood Risk Management: A Case Study on the Dutch‐German Rhine," Risk Analysis, John Wiley & Sons, vol. 40(9), pages 1844-1862, September.
    11. Postek, Krzysztof & den Hertog, Dick & Kind, J. & Pustjens, Chris, 2016. "Adjustable Robust Strategies for Flood Protection," Other publications TiSEM 6e85c2ff-32dd-4c7e-8d95-a, Tilburg University, School of Economics and Management.
    12. Klerk, Wouter Jan & Kanning, Wim & Kok, Matthijs & Wolfert, Rogier, 2021. "Optimal planning of flood defence system reinforcements using a greedy search algorithm," Reliability Engineering and System Safety, Elsevier, vol. 207(C).
    13. Dupuits, E.J.C. & Schweckendiek, T. & Kok, M., 2017. "Economic optimization of coastal flood defense systems," Reliability Engineering and System Safety, Elsevier, vol. 159(C), pages 143-152.
    14. Peter Zwaneveld & Gerard Verweij, 2018. "Economic Decision Problems in Multi-Level Flood Prevention: a new graph-based approach used for real world applications," CPB Discussion Paper 380, CPB Netherlands Bureau for Economic Policy Analysis.
    15. Martin Vezér & Alexander Bakker & Klaus Keller & Nancy Tuana, 2018. "Epistemic and ethical trade-offs in decision analytical modelling," Climatic Change, Springer, vol. 147(1), pages 1-10, March.
    16. Keighley, Tim & Longden, Thomas & Mathew, Supriya & Trück, Stefan, 2014. "Quantifying Catastrophic and Climate Impacted Hazards Based on Local Expert Opinions," Climate Change and Sustainable Development 189171, Fondazione Eni Enrico Mattei (FEEM).
    17. Jolanta Bijańska & Krzysztof Wodarski & Aneta Aleksander, 2022. "Analysis of the Financing Options for Pro-Ecological Projects," Energies, MDPI, vol. 15(6), pages 1-30, March.
    18. T. D. Pol & S. Gabbert & H.-P. Weikard & E. C. Ierland & E. M. T. Hendrix, 2017. "A Minimax Regret Analysis of Flood Risk Management Strategies Under Climate Change Uncertainty and Emerging Information," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 68(4), pages 1087-1109, December.
    19. Arjen Hoekstra & Jean-Luc Kok, 2008. "Adapting to climate change: a comparison of two strategies for dike heightening," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 47(2), pages 217-228, November.
    20. Richard Lusby & Jesper Larsen & David Ryan & Matthias Ehrgott, 2011. "Routing Trains Through Railway Junctions: A New Set-Packing Approach," Transportation Science, INFORMS, vol. 45(2), pages 228-245, May.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:270:y:2018:i:1:p:294-301. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.