# Sensor Placement in Municipal Water Networks with Temporal Integer Programming Models

@article{Berry2006SensorPI, title={Sensor Placement in Municipal Water Networks with Temporal Integer Programming Models}, author={Jonathan W. Berry and William E. Hart and Cynthia A. Phillips and James G. Uber and Jean-Paul Watson}, journal={Journal of Water Resources Planning and Management}, year={2006}, volume={132}, pages={218-224} }

We present a mixed-integer programming (MIP) formulation for sensor placement optimization in municipal water distribution systems that includes the temporal characteristics of contamination events and their impacts. Typical network water quality simulations track contaminant concentration and movement over time, computing contaminant concentration time series for each junction. Given this information, we can compute the impact of a contamination event over time and determine affected locations…

## 252 Citations

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### FORMULATING AND ANALYZING MULTI-STAGE SENSOR PLACEMENT PROBLEMS

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### Application of Graph Theory to Sensor Placement in Water Distribution Systems

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### An Analysis of Multiple Contaminant Warning System Design Objectives for Sensor Placement Optimization in Water Distribution Networks

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This work solves the sensor placement problem using a mixed-integer programming formulation of the well-known p-median problem from facility location theory, which can express a broad range of design objectives and shows that optimal solutions with respect to one design objective are often highly sub-optimal withrespect to other design objectives.

## References

SHOWING 1-10 OF 19 REFERENCES

### Sensor Placement in Municipal Water Networks

- Computer Science
- 2004

A model for optimizing the placement of sensors in municipal water networks to detect maliciously injected contaminants is presented, which finds optimal sensor placements for three test networks with synthetic risk and population data.

### Robust optimization of contaminant sensor placement for community water systems

- MathematicsMath. Program.
- 2006

A relaxation is considered that provides an approximation, giving an overall guarantee of near-optimality when used with branch-and-bound search, and it is proved its complexity is NP-hard even under simplifying assumptions.

### A Sensor Location Model to Detect Contaminations in Water Distribution Networks

- Environmental Science
- 2005

Real-time continuous water quality monitoring could provide an increased barrier to protect consumers against contaminations. Among several challenges to be faced to successfully build such a system,…

### A Multiple-Objective Analysis of Sensor Placement Optimization in Water Networks

- Computer Science
- 2004

Mixed-integer linear programming models for the sensor placement problem over a range of design objectives are developed and it is shown that optimal solutions with respect to one design objective are typically highly sub-optimal withrespect to other design objectives.

### Optimal Locations of Monitoring Stations in Water Distribution System

- Computer Science
- 1992

In this research, a concept of coverage is defined, and methods on how to locate monitoring stations in a network are described, and the best set of stations is one that maximizes the coverage.

### Detecting Accidental Contaminations in Municipal Water Networks

- Business
- 1997

A methodology for finding the optimal layout of a detection system in a municipal water network is formulated and demonstrated. The detection system considered consists of a set of monitoring…

### Locating Monitoring Stations in Water Distribution Systems

- Environmental Science
- 1991

Water undergoes substantial changes in quality between the time it leaves the treatment ities, and distribution system; age, type, plant and the time it reaches the customer’s tap, making it…

### A Hybrid Heuristic for the p-Median Problem

- Computer ScienceJ. Heuristics
- 2004

This work presents a multistart hybrid heuristic that combines elements of several traditional metaheuristics to find near-optimal solutions to the p-median problem, a well-known NP-complete problem with important applications in location science and classification.

### Discrete Location Theory

- Economics
- 1991

Ingredients of Locational Analysis (J. Krarup & P. Pruzan). The p-Median Problem and Generalizations (P. Mirchandani). The Uncapacitated Facility Location Problem (G. Cornuejols, et al.). Multiperiod…

### Battle of the network models: Epilogue

- Engineering
- 1987

Several models that can be used to optimally size water distribution pipes were applied to a hypothetical system. The results are summarized in this paper. The models produced solutions with costs…