Sensor Network Design for Uniquely Identifying Sources of Contamination in Water Distribution Networks

Kaustav Basu, Arunabha Sen

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Sensors are being extensively adopted for use in smart cities in order to monitor various parameters, so that any anomalous behaviours manifesting in the deployment area, can be easily detected. Sensors in a deployment area have two functions, sensing/coverage and communication, with this paper focusing on the former. Over the years, several coverage models have been proposed which utilizes the Set Cover based problem formulation. This formulation unfortunately has a drawback, in the sense that it lacks unique identification capability for the location where anomalous behavior is sensed. This limitation can be overcome through utilization of Identifying Code. The optimal solution of the Identifying Code problem provides the minimum number of sensors that will be needed to uniquely identify the location where anomalous behavior is sensed. In this paper, we introduce a novel budget constrained version of the problem, whose goal is to find the largest number of locations that can be uniquely identified with the sensors that can be deployed within the specified budget. We provide an Integer Linear Programming formulation and a Maximum Set-Group Cover (MSGC) formulation for the problem and prove that the MSGC problem cannot have a polynomial time approximation algorithm with a 1/k factor performance guarantee unless P = NP.

Original languageEnglish (US)
Title of host publicationWWW 2022 - Companion Proceedings of the Web Conference 2022
PublisherAssociation for Computing Machinery, Inc
Pages1245-1250
Number of pages6
ISBN (Electronic)9781450391306
DOIs
StatePublished - Apr 25 2022
Externally publishedYes
Event31st ACM Web Conference, WWW 2022 - Virtual, Online, France
Duration: Apr 25 2022 → …

Publication series

NameWWW 2022 - Companion Proceedings of the Web Conference 2022

Conference

Conference31st ACM Web Conference, WWW 2022
Country/TerritoryFrance
CityVirtual, Online
Period4/25/22 → …

Keywords

  • Budget Constrained Identifying Code
  • Identifying Code
  • Maximum Set Cover
  • Maximum Set-Group Cover
  • Sensor Placement
  • Smart Cities
  • Water Distribution Network

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Software

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