TECHNICAL PAPERS
Jul 1, 2006

Contamination Warning in Water Networks: General Mixed-Integer Linear Models for Sensor Location Design

Publication: Journal of Water Resources Planning and Management
Volume 132, Issue 4

Abstract

A mixed-integer linear program is proposed to identify optimal sensor locations for early warning against accidental and intentional contaminations in drinking water distribution systems. The general model can be applied to unsteady hydraulic conditions. Furthermore, it may accommodate different design objectives whose problem formulations vary only by the cost function coefficients while decision variables and linear constraints remain identical. Such a feature is very important since several requirements may be factors for practical design of warning systems. Linear constraint matrix properties show that the solution may often be found at the root (no branching). If not, a procedure is proposed to identify a significant set of discrete decision variables whose integrality constraints can be always relaxed. This result is coupled with good data preprocessing to minimize auxiliary continuous variables and constraints, allowing for efficient computation and increasing model applicability to large problems. The methodology is illustrated on a small and a midsize network.

Get full access to this article

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

Acknowledgment

This research was supported by Marie Curie International Reintegration Grants within the 6th European Community Framework programme (Contract Number: MIRG-CT-6–2005–014825.

References

Berry, J., Hart, W., Phillips, C., and Uber, J. (2004). “A general integer-programming-based framework for sensor placement in municipal water networks.” Proc., World Water and Environmental Research Conf., Salt Lake City.
Berry, J., Hart, W., Phillips, C., and Watson, J. (2005). “Scalability of integer programming computations for sensor placement in water networks.” Proc., World Water and Environmental Research Congress, Anchorage, Alaska.
Boccelli, D., Tryby, M., Uber, J., Rossman, L., Zierolf, M., and Polycarpou, M. (1998). “Optimal scheduling of booster disinfection in water distribution systems.” J. Water Resour. Plan. Manage., 124(2), 99–111.
Chang, C.-T., and Chang, C.-C. (2000). “A linearization method for mixed 0-1 polynomial programs.” Comput. Oper. Res., 27(10), 1005–1016.
Garey, M., and Johnson, D. (1979). Computers and intractability, A guide to the theory of NP completeness, Freeman, New York.
Gyurek, L., and Finch, G. (1998). “Modeling water treatment chemical disinfection kinetics.” J. Environ. Eng., 124(9), 783–793.
Kumar, A., Kansal, M., and Arora, G. (1997). “Identification of monitoring stations in water distribution system.” J. Environ. Eng., 123(8), 746–752.
LeChevallier, M., Gullick, R., Karim, M., Friedman, M., and Funk, J. (2003). “The potential for health risks from intrusion of contaminants into the distribution system from pressure transients.” J. Water Health, 1(1), 3–14.
Lee, B., and Deininger, R. (1992). “Optimal locations of monitoring stations in water distribution system.” J. Environ. Eng., 118(1), 4–16.
Lindley, T., and Buchberger, S. (2002). “Assessing intrusion susceptibility in distribution systems.” J. Am. Water Works Assoc., 94(6), 66–79.
Ostfeld, A., and Salomons, E. (2004). “Optimal layout of early warning detection stations for water distribution systems security.” J. Water Resour. Plan. Manage. 130(5), 377–385.
Papadimitriou, C., and Steiglitz, K. (1998). Combinatorial optimization: Algorithms and complexity, Chap. 13, Dover, Mineola, N.Y.
Propato, M., and Uber, J. (2004a). “Linear least-squares formulation for operation of booster disinfection systems.” J. Water Resour. Plan. Manage., 130(1), 53–62.
Propato, M., and Uber, J. (2004b). “Vulnerability of water distribution systems to pathogen intrusion: How effective is a disinfectant residual?” Environ. Sci. Technol., 38(13), 3713–3722.
Rossman, L. (2000). EPANET user’s manual, Risk Reduction Engineering Laboratory, U.S. Environmental Protection Agency, Cincinnati.
Shang, F., Propato, M., and Uber, J. (2002). “Extension of EPANET for multispecies modeling in water distribution system.” Proc., ASCE Environmental and Water Resources Institute Conf., ASCE, Roanoke, Va.
Uber, J., Janke, R., Murray, R., and Meyer, P. (2004). “Set covering formulation for locating water quality sensors in distribution systems.” Proc., World Water and Environmental Research Conf., Salt Lake City.
Walski, T., Chase, D., Savic, D., Grayman, W., Beckwith, S., and Koelle, E. (2003). Advanced water distribution modeling and management, Haestead, Waterbury, Conn.
Watson, J., Greenberg, H., and Hart, W. (2004). “A multiple-objective analysis of sensor placement optimization in water networks.” Proc., World Water and Environmental Research Conf., Salt Lake City.
Watson, J., Hart, W., and Berry, J. (2005). “Scalable high-performance heuristics for sensor placement in water distribution networks.” Proc., World Water and Environmetal Research Congress, Anchorage, Alaska.

Information & Authors

Information

Published In

Go to Journal of Water Resources Planning and Management
Journal of Water Resources Planning and Management
Volume 132Issue 4July 2006
Pages: 225 - 233

History

Received: Aug 24, 2005
Accepted: Dec 30, 2005
Published online: Jul 1, 2006
Published in print: Jul 2006

Permissions

Request permissions for this article.

Authors

Affiliations

Marco Propato
Research Scientist, Hydraulics and Civil Engineering Research Unit, CEMAGREF, 50 Ave. de Verdun, Gazinet 33612, Bordeaux, France. 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