An Impulse Control Approach to Dike Height Optimization

CentER Working Paper Series No. 2011-097

24 Pages Posted: 2 Sep 2011 Last revised: 27 Sep 2012

See all articles by Mohammed Chahim

Mohammed Chahim

TNO Netherlands Organisation for Applied Scientific Research

R.C.M. Brekelmans

Tilburg University - Tilburg University School of Economics and Management

Dick den Hertog

Tilburg University - Department of Econometrics & Operations Research

Peter M. Kort

Tilburg University - Department of Econometrics & Operations Research; Tilburg University - Center for Economic Research (CentER)

Date Written: August 23, 2011

Abstract

This paper determines the optimal timing of dike heightenings as well as the corresponding optimal dike heightenings to protect against floods. To derive the optimal policy we design an algorithm based on the Impulse Control Maximum Principle. In this way the paper presents one of the first real life applications of the Impulse Control Maximum Principle developed by Blaqui`ere. We show that the proposed Impulse Control approach performs better than Dynamic Programming with respect to computational time. This is caused by the fact that Impulse Control does not need discretization in time.

Keywords: Impulse Control Maximum Principle, Optimal Control, flood prevention, dikes, cost-benefit analysis

JEL Classification: C61, D61, H54, Q54

Suggested Citation

Chahim, Mohammed and Brekelmans, R.C.M. and den Hertog, Dick and Kort, Peter, An Impulse Control Approach to Dike Height Optimization (August 23, 2011). CentER Working Paper Series No. 2011-097. Available at SSRN: https://ssrn.com/abstract=1920700 or http://dx.doi.org/10.2139/ssrn.1920700

Mohammed Chahim (Contact Author)

TNO Netherlands Organisation for Applied Scientific Research ( email )

Delft
Netherlands

R.C.M. Brekelmans

Tilburg University - Tilburg University School of Economics and Management ( email )

P.O. Box 90153
B 1029
5000 LE Tilburg
Netherlands
+31 13 466 8234 (Phone)

Dick Den Hertog

Tilburg University - Department of Econometrics & Operations Research ( email )

Tilburg, 5000 LE
Netherlands

Peter Kort

Tilburg University - Department of Econometrics & Operations Research ( email )

Tilburg, 5000 LE
Netherlands
+31 13 466 2062 (Phone)
+31 13 466 3072 (Fax)

HOME PAGE: http://center.uvt.nl/staff/kort/

Tilburg University - Center for Economic Research (CentER) ( email )

P.O. Box 90153
Tilburg, 5000 LE
Netherlands
+31 13 466 2062 (Phone)
+31 13 466 3072 (Fax)

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