Designing Robust Coverage Systems: A Maximal Covering Model with Geographically Varying Failure Probabilities.

Covering models have been used in a wide range of modeling and geospatial analysis applications ranging from planning emergency services to natural reserve design. One topic in coverage modeling that has received considerable research attention is addressing uncertainty due to facility unavailabilit...

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Published in:Annals of the Association of American Geographers Vol. 104; no. 5; pp. 922 - 939
Main Authors: Lei, Ting L., Tong, Daoqin, Church, Richard L.
Format: Article
Published: Taylor & Francis Ltd Sep2014
Subjects:
Online Access:View this record in EBSCOhost
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      dt: Sep2014
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        10.1080/00045608.2014.923722
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        atl: Designing Robust Coverage Systems: A Maximal Covering Model with Geographically Varying Failure Probabilities.
      aug:
        au:
          Lei, Ting L.
          Tong, Daoqin
          Church, Richard L.
        affil:
          Department of Geography, University of Santa Barbara
          School of Geography and Development, University of Arizona
      su:
        Emergency management
        Spatial systems
        Spatial variation
      sug:
        subj:
          Emergency management
          Other federal protective services
          Other Justice, Public Order, and Safety Activities
          Other municipal protective services
          Other provincial protective services
          Emergency and Other Relief Services
          Spatial systems
          Spatial variation
      keyword:
        coverage network
        location analysis
        resilient design
        spatial optimization
        system vulnerability
        análisis locacional
        análisis locacional
        diseño resiliente
        diseño resiliente
        optimización espacial
        optimización espacial
        red de cobertura
        vulnerabilidad del sistema
        区位分析
        恢復性设计
        空间优化
        系统脆弱性
        覆盖网
        coverage network
        location analysis
        resilient design
        spatial optimization
        system vulnerability
        análisis locacional
        análisis locacional
        diseño resiliente
        diseño resiliente
        optimización espacial
        optimización espacial
        red de cobertura
        vulnerabilidad del sistema
        区位分析
        恢復性设计
        空间优化
        系统脆弱性
        覆盖网
      ab: Covering models have been used in a wide range of modeling and geospatial analysis applications ranging from planning emergency services to natural reserve design. One topic in coverage modeling that has received considerable research attention is addressing uncertainty due to facility unavailability and service disruptions. In this article, we propose a covering model that maximizes the expected coverage of demand by considering the possibility of facility failures. Unlike existing models that assume a uniform failure probability across all sites in an area, the proposed model can account for spatially varying failure probabilities and describes better the underlying geographic processes that cause facility failures. The model is posed as a spatial optimization problem using integer linear programming. We compare two different formulations of the covering model and discuss their properties. The proposed model formulations have been tested computationally using a warning sirens data set that has been widely used in assessing covering models. We conclude with a summary of findings as well as possible directions of future research.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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