Robust placement of sensors in dynamic water distribution systems |
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| Authors: | Jianhua Xu Michael P Johnson Paul S Fischbeck Mitchell J Small Jeanne M VanBriesen |
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| Institution: | aDepartment of Environmental Management, College of Environmental Sciences and Engineering, Peking University, Beijing 100871, PR China;bDepartment of Public Policy and Public Affairs, John W. McCormack Graduate School of Policy Studies, University of Massachusetts Boston, 100 Morrissey Blvd, Boston, MA 02125, USA;cDepartment of Social and Decision Sciences and Department of Engineering and Public Policy, Carnegie Mellon University, Pittsburgh, PA 15213, USA;dDepartment of Civil and Environmental Engineering and Department of Engineering and Public Policy, Carnegie Mellon University, Pittsburgh, PA 15213, USA;eDepartment of Civil and Environmental Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, USA |
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| Abstract: | Designing a robust sensor network to detect accidental contaminants in water distribution systems is a challenge given the uncertain nature of the contamination events (what, how much, when, where and for how long) and the dynamic nature of water distribution systems (driven by the random consumption of consumers). We formulate a set of scenario-based minimax and minimax regret models in order to provide robust sensor-placement schemes that perform well under all realizable contamination scenarios, and thus protect water consumers. Single-and multi-objective versions of these models are then applied to a real water distribution system. A heuristic solution method is applied to solve the robust models. The concept of “sensitivity region” is used to visualize trade-offs between multiple objectives. |
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| Keywords: | Facilities planning and design Robust optimization Scenarios Water distribution systems |
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