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Safe Dike Heights at Minimal Costs: The Nonhomogeneous Case

Author

Listed:
  • Ruud Brekelmans

    (Department of Econometrics and Operations Research, CentER, Tilburg University, NL-5000 LE Tilburg, The Netherlands)

  • Dick den Hertog

    (Department of Econometrics and Operations Research, CentER, Tilburg University, NL-5000 LE Tilburg, The Netherlands)

  • Kees Roos

    (Delft University of Technology, NL-2600 AA Delft, The Netherlands)

  • Carel Eijgenraam

    (CPB Netherlands Bureau for Economic Policy Analysis, NL-2508 The Haag, The Netherlands)

Abstract

Dike height optimization is of major importance to the Netherlands because a large part of the country lies below sea level, and high water levels in rivers can cause floods. Recently impovements have been made on the cost-benefit model introduced by van Dantzig after the devastating flood in the Netherlands in 1953. We consider the extension of this model to nonhomogeneous dike rings, which may also be applicable to other deltas in the world. A nonhomogeneous dike ring consists of different segments with different characteristics with respect to flooding and investment costs. The individual segments can be heightened independently at different moments in time and by different amounts, making the problem considerably more complex than the homogeneous case. We show how the problem can be modeled as a mixed-integer nonlinear programming problem, and we present an iterative algorithm that can be used to solve the problem. Moreover, we consider a robust optimization approach to deal with uncertainty in the model parameters. The method has been implemented and integrated in software, which is used by the government to determine how the safety standards in the Dutch Water Act should be changed.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:oropre:v:60:y:2012:i:6:p:1342-1355
    DOI: 10.1287/opre.1110.1028
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    References listed on IDEAS

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    1. Carel Eijgenraam, 2006. "Optimal safety standards for dike-ring areas," CPB Discussion Paper 62, CPB Netherlands Bureau for Economic Policy Analysis.
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