TECHNICAL PAPERS
Jan 1, 2000

Optimal Sand Nourishment Decisions

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 126, Issue 1

Abstract

To maintain the Dutch coastline, every year millions of cubic meters of sand must be supplied at locations subject to permanent erosion. A decision model has been developed to obtain optimal sand nourishment decisions whose expected costs are minimal on the basis of the only information that is available: the probability distribution of the limiting average rate of permanent erosion. This probability distribution is derived on the basis of actual erosion data using Bayes' theorem. In order that the stochastic erosion process be based on this uncertain limiting average, the writers consider it as a generalized gamma process. There are three cost-based criteria for comparing sand nourishment decisions: the average costs per unit time, the discounted costs over an unbounded horizon, and the equivalent average costs per unit time. From these three criteria, only the last two are appropriate to obtain optimal sand nourishment decisions. In a case study, the decision model has been tested to sand nourishment at Zwanenwater, The Netherlands. Although the decision model has been developed for the purpose of sand nourishment, it can be applied to other fields of engineering to solve many problems in the area of life cycle costing.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Barlow, R. E., and Mendel, M. B. (1992). “De Finetti-type representations for life distributions.” J. Am. Statistical Assn., 87(420), 1116–1122.
2.
Barlow, R. E., and Proschan, F. (1996). Mathematical theory of reliability. SIAM, Philadelphia.
3.
Bruun, P. (1991). “Optimum dredging procedures for artificial nourishment of beaches.” Water resour. plng. and mgmt. and urban water resour.; 18th Annu. Conf. and Symp., Jerry L. Anderson, ed., ASCE, New York, 303–307.
4.
Bruun, P., and Willekes, G. (1992). “Bypassing and backpassing at harbors, navigation channels, and tidal entrances: Use of shallow-water draft hopper dredgers with pump-out capabilities.” J. Coast. Res., 8(4), 972–977.
5.
DeGroot, M. H. (1970). Optimal statistical decisions. McGraw-Hill, New York.
6.
Dette, H.-H., Führböter, A., and Raudkivi, A. J. (1994). “Interdependence of beach fill volumes and repetition intervals.”J. Wtrwy., Port, Coast., and Oc. Engrg., ASCE, 120(6), 580–593.
7.
Feller, W. (1950). An introduction to probability theory and its applications, Vol. 1, John Wiley, New York.
8.
Flanagan, R., Norman, G., Meadows, J., and Robinson, G. (1989). Life cycle costing; theory and practice. BSP Professional Books, Oxford, U.K.
9.
Houston, J. R. (1996). “Simplified Dean's method for beach-fill design.”J. Wtrwy., Port, Coast., and Oc. Engrg., ASCE, 122(3), 143–146.
10.
Karlin, S., and Taylor, H. M. (1975). A first course in stochastic processes, 2nd Ed., Academic, San Diego.
11.
Misiewicz, J. K., and Cooke, R. M. (1999). “Isotropic sequences of random variables and stochastic rescaling.” Third Scandinavian-Ukranian Conf. on Probability and Statistics, Kyiv, Ukraine (in press).
12.
Rijkswaterstaat. (1990). A new coastal defence policy for The Netherlands. Ministry of Transport, Public Works and Water Management, The Hague, The Netherlands.
13.
Rijkswaterstaat. (1993a). . Coastline management; from coastal monitoring to sand nourishment. Ministry of Transport, Public Works and Water Management, The Hague, The Netherlands.
14.
Rijkswaterstaat. (1993b).“Evaluatie van Zandsuppleties [Evaluation of sand nourishments].” Tech. Rep. DGW-93054, Ministry of Transport, Public Works and Water Management, The Hague, The Netherlands.
15.
Ross, S. M. (1970). Applied probability models with optimization applications. Dover, New York.
16.
Speijker, L. J. P., van Noortwijk, J. M., Kok, M., and Cooke, R. M. (2000). “Optimal maintenance decisions for dikes.” Probability in the Engineering and Informational Sciences, 14, 101–121.
17.
van Noortwijk, J. M., Cooke, R. M., and Kok, M. (1995). “A Bayesian failure model based on isotropic deterioration.” Eur. J. Operational Res., 82(2), 270–282.
18.
van Noortwijk, J. M., Kok, M., and Cooke, R. M. ( 1997). “Optimal maintenance decisions for the sea-bed protection of the Eastern-Scheldt Barrier.” Engineering probabilistic design and maintenance for flood protection, Roger Cooke, Max Mendel, and Han Vrijling, eds., Kluwer Academic, Dordrecht, The Netherlands, 25–56.
19.
van Noortwijk, J. M., and van Gelder, P. H. A. J. M. (1996). “Optimal maintenance decisions for berm breakwaters.” Struct. Safety, 18(4), 293–309.
20.
Verhagen, H. J. (1993). “Method for artificial beach nourishment.” 23rd Int. Conf. on Coast. Engrg., Billy L. Edge, ed., ASCE, New York, 2474–2485.
21.
Wagner, H. M. (1975). Principles of operations research, 2nd Ed., Prentice-Hall, Englewood Cliffs, N.J.
22.
Weir, A. J. (1973). Lebesgue integration & measure. Cambridge University Press, Cambridge, U.K.

Information & Authors

Information

Published In

Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 126Issue 1January 2000
Pages: 30 - 38

History

Received: Aug 6, 1997
Published online: Jan 1, 2000
Published in print: Jan 2000

Permissions

Request permissions for this article.

Authors

Affiliations

Delft Univ. of Technol., Facu. of Mathematics and Comp. Sci., P.O. Box 5031, 2600 GA Delft, The Netherlands.
WL/Delft Hydraulics, P.O. Box 177, 2600 MH Delft, The Netherlands.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share