Technical Papers
May 6, 2016

Improving Nonlinear Optimization Algorithms for BMP Implementation in a Combined Sewer System

Publication: Journal of Water Resources Planning and Management
Volume 142, Issue 9

Abstract

Implementing best management practices (BMP) on watersheds could help mitigate the effects of urbanization and climate change on the hydrological cycle. Techniques such as retention ponds, rain gardens, infiltration trenches, and green roofs vary in technical performance, space requirements, and cost. The trade-offs between these present a challenge toward BMP selection and placement, therefore requiring optimization. Three optimization methods were applied for BMP implementation on a combined sewer: linear programming (LP); genetic algorithm (GA); and simulated annealing (SA). LP served as a reference point. The SA solution was only marginally better, 4.7% cheaper, whereas GA’s solution was 17.9% more expensive after computations froze at a local minimum; both methods required approximately 18 h of computational time. A second round of optimization used the solution from LP as a starting point. This modification significantly increased the performance of GA, providing a new solution that was 14% cheaper than LP, with reduced computational times for both GA and SA. SA’s solution, though still cheaper than that of LP, was 3.9% more expensive than the one previously obtained with SA.

Get full access to this article

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

Acknowledgments

Funding for this research was provided by the Fonds de recherche du Québec-Nature et technologies (FRQNT).

References

Alminagorta, O., Tesfatsion, B., Rosenberg, D., and Neilson, B. (2013). “Simple optimization method to determine best management practices to reduce phosphorus loading in Echo Reservoir, Utah.” J. Water Resour. Plann. Manage., 122–125.
Arabi, M., Govindaraju, R. S., and Hantush, M. M. (2006). “Cost-effective allocation of watershed management practices using a genetic algorithm.” Water Resour. Res., 42(10), W10429.
Bennis, S., Bengassem, J., and Lamarre, P. (2003). “Hydraulic performance index of a sewer network.” J. Hydraul. Eng., 504–510.
Cahill, T. H. (2012). Low impact development and sustainable stormwater management, Wiley, Hoboken, NJ.
Cai, W., Ewing, D. J., and Ma, L. (2008). “Application of simulated annealing for multispectral tomography.” Comput. Phys. Commun., 179(4), 250–255.
Chen, L., Qiu, J., Wei, G., and Shen, Z. (2015). “A preference-based multi-objective model for the optimization of best management practices.” J. Hydrol., 520, 356–366.
Crobeddu, E., Bennis, S., and Rhouzlane, S. (2007). “Improved rational hydrograph method.” J. Hydrol., 338(1), 63–72.
DEP (Pennsylvania Department of Environmental Protection). (2006). Pennsylvania stormwater best management practices manual, PA.
Efta, J. A., and Chung, W. (2014). “Planning best management practices to reduce sediment delivery from forest roads using WEPP: Road erosion modeling and simulated annealing optimization.” Croat. J. For. Eng., 35(2), 167–178.
Fragoso, T., da Conceição Cunha, M., and Lobo-Ferreira, J. P. (2009). “Optimal pumping from Palmela water supply wells (Portugal) using simulated annealing.” Hydrogeol. J., 17(8), 1935–1948.
Fuamba, M., Coulais, C., and Bertrand, H. (2011). “An innovative method for selecting efficient best management practices.” 12th Int. Conf. on Urban Drainage, Acqua Consultoria, São Paulo, Brazil.
Gibb, A., Kelly, H., Schueler, T., Horner, R., Simmler, J. and Knutson, J. (1999). Best management practices guide for stormwater, Greater Vancouver Sewerage and Drainage District, Burnaby, BC, Canada.
Jia, H., Yao, H., Tang, Y., Yu, S. L., Zhen, J. X., and Lu, Y. (2013). “Development of a multi-criteria index ranking system for urban runoff best management practices (BMPs) selection.” Environ. Monit. Assess., 185(9), 7915–7933.
Lai, F.-H., Zhen, J., Riverson, J., Alvi, K., and Shoemaker, L. (2009). “Multiple watershed scales approach for placement of best management practices in SUSTAIN.” Proc., World Environmental Water Resource Congress: Great Rivers, ASCE, Reston, VA, 17–21.
Limbrunner, J., Vogel, R., Chapra, S., and Kirshen, P. (2007). “Comparison of linear and non-linear optimization models for storm water and non-point source pollution best management practice decision support.” Proc., World Environ. Water Resource Congress: Restoring our Natural Habitat, ASCE, Reston, VA, 15–19.
Mailhot, A., Bolduc, S., Duchesne, S., and Villeneuve, J.-P. (2008). “Adaptation aux changements climatiques (CC) en matière de drainage urbain au Québec: Revue de littérature et analyse critique des mesures de contrôle à la source: Adaptation to climate change (CC) on urban drainage in Quebec: Literature review and critical analysis of source control measures.”, Institut national de la recherche scientifique, INRS-Eau, Terre et Environnement, Montréal.
Maringanti, C., Chaubey, I., Arabi, M., and Engel, B. (2011). “Application of a multi-objective optimization method to provide least cost alternatives for NPS pollution control.” Environ. Manage., 48(3), 448–461.
MDDELCC (Ministère du Développement Durable, de l’Environnement et de la Lutte Contre Les Changements Climatiques). (2011). Guide de gestion des eaux pluviales: Stormwater management guide, Québec.
Rodriguez, H. G., Popp, J., Maringanti, C., and Chaubey, I. (2011). “Selection and placement of best management practices used to reduce water quality degradation in Lincoln Lake watershed.” Water Resour. Res., 47(1), W01507.
Rossman, L. A. (2010). “Storm water management model user’s manual, version 5.0.”, U.S. Environmental Protection Agency, Cincinnati.
Schrage, L. (2006). Optimization modelling with LINGO, 6th Ed., LINDO Systems, Chicago.
Sebti, A., Bennis, S., and Fuamba, M. (2014). “Optimization of the restructuring cost of an urban drainage network.” Urban Water J., 119–132.
Sebti, A., Fuamba, M., and Bennis, S. (2015). “Optimization model for BMP selection and placement in a combined sewer.” J. Water Resour. Plann. Manage., 04015068.
Vanderbei, R. J. (2001). Linear programming: Foundations and extensions, International Series in Operations Research and Management Science, Springer, New York.
Whitley, D. (1994). “A genetic algorithm tutorial”. Stat. Comput., 4(2), 65–85.
Zou, R., Riverson, J., Liu, Y., Murphy, R., and Sim, Y. (2015). “Enhanced nonlinearity interval mapping scheme for high-performance simulation-optimization of watershed-scale BMP placement.” Water Resour. Res., 51(3), 1831–1845.

Information & Authors

Information

Published In

Go to Journal of Water Resources Planning and Management
Journal of Water Resources Planning and Management
Volume 142Issue 9September 2016

History

Received: Sep 23, 2015
Accepted: Feb 9, 2016
Published online: May 6, 2016
Published in print: Sep 1, 2016
Discussion open until: Oct 6, 2016

Permissions

Request permissions for this article.

Authors

Affiliations

Ph.D. Candidate, Polytechnique Montreal, Dept. of Civil, Geological and Mining Engineering, C.P. 6079, Succ. Centre-Ville, Montreal, QC, Canada H3C 3A7 (corresponding author). E-mail: [email protected]
Mauricio Carvallo Aceves, M.Eng. [email protected]
Polytechnique Montreal, Dept. of Civil, Geological and Mining Engineering, C.P. 6079, Succ. Centre-Ville, Montreal, QC, Canada H3C 3A7. E-mail: [email protected]
Saad Bennis, Ph.D. [email protected]
Professor, École de technologie supérieure, Département de génie de la construction, 1100 Notre-Dame ouest, Montréal, QC, Canada H3C 1K3. E-mail: [email protected]
Musandji Fuamba, Ph.D. [email protected]
Professor, Polytechnique Montreal, Dept. of Civil, Geological and Mining Engineering, C.P. 6079, Succ. Centre-Ville, Montreal, QC, Canada H3C 3A7. E-mail: [email protected]

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