IDEAS home Printed from https://ideas.repec.org/a/sae/inrsre/v39y2016i1p5-27.html
   My bibliography  Save this article

Maximal Coverage Location Problem

Author

Listed:
  • Alan T. Murray

Abstract

The maximal covering location problem was first introduced by Church and ReVelle in 1973 at the North American Regional Science Council meetings and subsequently published in Papers in Regional Science (formerly Papers of the Regional Science Association ) in 1974. It has proven to be a seminal contribution to location analysis and modeling, in terms of both technical merit and practical significance. With more than 1,500 citations in the academic literature, it has truly stood the test of time and may actually be as relevant or more so today than when it was first presented/published. Not only is it the subject of broad application and extension, but it has also been integrated in a number of geographic information system–based commercial software packages, including ArcGIS and TransCAD, for general use. This article provides an overview of the maximal covering location problem, highlighting the use, application, solution, evolution, and extension of this important location analytic approach.

Suggested Citation

  • Alan T. Murray, 2016. "Maximal Coverage Location Problem," International Regional Science Review, , vol. 39(1), pages 5-27, January.
  • Handle: RePEc:sae:inrsre:v:39:y:2016:i:1:p:5-27
    DOI: 10.1177/0160017615600222
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1177/0160017615600222
    Download Restriction: no

    File URL: https://libkey.io/10.1177/0160017615600222?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. S. Belardo & J. Harrald & W. A. Wallace & J. Ward, 1984. "A Partial Covering Approach to Siting Response Resources for Major Maritime Oil Spills," Management Science, INFORMS, vol. 30(10), pages 1184-1196, October.
    2. Adenso-Díaz, B. & Rodríguez, F., 1997. "A simple search heuristic for the MCLP: Application to the location of ambulance bases in a rural region," Omega, Elsevier, vol. 25(2), pages 181-187, April.
    3. Tony Grubesic & Ran Wei & Alan Murray & Fangwu Wei, 2016. "Essential Air Service in the United States," International Regional Science Review, , vol. 39(1), pages 108-130, January.
    4. Current, J. R. & Re Velle, C. S. & Cohon, J. L., 1985. "The maximum covering/shortest path problem: A multiobjective network design and routing formulation," European Journal of Operational Research, Elsevier, vol. 21(2), pages 189-199, August.
    5. Jen-Jia Lin & Huei-In Wong, 2014. "Optimization of a feeder-bus route design by using a multiobjective programming approach," Transportation Planning and Technology, Taylor & Francis Journals, vol. 37(5), pages 430-449, July.
    6. Brian T. Downs & Jeffrey D. Camm, 1996. "An exact algorithm for the maximal covering problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(3), pages 435-461, April.
    7. Andrew Isserman, 2003. "Intellectual leaders of regional science: A half-century citation study," Economics of Governance, Springer, vol. 83(1), pages 91-126, October.
    8. Tony H. Grubesic & Alan T. Murray, 2002. "Constructing the divide: Spatial disparities in broadband access," Economics of Governance, Springer, vol. 81(2), pages 197-221, April.
    9. Schilling, David A. & Revelle, Charles & Cohon, Jared & Elzinga, D. Jack, 1980. "Some models for fire protection locational decisions," European Journal of Operational Research, Elsevier, vol. 5(1), pages 1-7, July.
    10. Hasan Pirkul & David A. Schilling, 1991. "The Maximal Covering Location Problem with Capacities on Total Workload," Management Science, INFORMS, vol. 37(2), pages 233-248, February.
    11. Grubesic, Tony H. & Murray, Alan T. & Matisziw, Timothy C., 2013. "A strategic approach for improving rural air transport in the United States," Transport Policy, Elsevier, vol. 30(C), pages 117-124.
    12. Kathleen Hogan & Charles ReVelle, 1986. "Concepts and Applications of Backup Coverage," Management Science, INFORMS, vol. 32(11), pages 1434-1444, November.
    13. Ting L. Lei & Daoqin Tong & Richard L. Church, 2014. "Designing Robust Coverage Systems: A Maximal Covering Model with Geographically Varying Failure Probabilities," Annals of the American Association of Geographers, Taylor & Francis Journals, vol. 104(5), pages 922-938, September.
    14. Peter Kolesar, 1980. "Testing for Vision Loss in Glaucoma Suspects," Management Science, INFORMS, vol. 26(5), pages 439-450, May.
    15. O'Hanley, Jesse R. & Church, Richard L., 2011. "Designing robust coverage networks to hedge against worst-case facility losses," European Journal of Operational Research, Elsevier, vol. 209(1), pages 23-36, February.
    16. Owen, Susan Hesse & Daskin, Mark S., 1998. "Strategic facility location: A review," European Journal of Operational Research, Elsevier, vol. 111(3), pages 423-447, December.
    17. Richard L. Church & Kenneth L. Roberts, 1983. "Generalized Coverage Models And Public Facility Location," Papers in Regional Science, Wiley Blackwell, vol. 53(1), pages 117-135, January.
    18. Mark Daskin & Philip C. Jones & Timothy J. Lowe, 1990. "Rationalizing Tool Selection in a Flexible Manufacturing System for Sheet-Metal Products," Operations Research, INFORMS, vol. 38(6), pages 1104-1115, December.
    19. Daoqin Tong & Alan T. Murray, 2009. "Maximising coverage of spatial demand for service," Papers in Regional Science, Wiley Blackwell, vol. 88(1), pages 85-97, March.
    20. Jeffrey P. Osleeb & Sara McLafferty, 1992. "A Weighted Covering Model To Aid In Dracunculiasis Eradication," Papers in Regional Science, Wiley Blackwell, vol. 71(3), pages 243-257, July.
    21. Andrew Isserman, 2003. "Intellectual leaders of regional science: A half-century citation study," Papers in Regional Science, Springer;Regional Science Association International, vol. 83(1), pages 91-126, October.
    22. Matisziw, Timothy C. & Murray, Alan T. & Kim, Changjoo, 2006. "Strategic route extension in transit networks," European Journal of Operational Research, Elsevier, vol. 171(2), pages 661-673, June.
    23. Alan Murray, 2010. "Advances in location modeling: GIS linkages and contributions," Journal of Geographical Systems, Springer, vol. 12(3), pages 335-354, September.
    24. F. Robert Dwyer & James R. Evans, 1981. "A Branch and Bound Algorithm for the List Selection Problem in Direct Mail Advertising," Management Science, INFORMS, vol. 27(6), pages 658-667, June.
    25. Galvao, Roberto Dieguez & ReVelle, Charles, 1996. "A Lagrangean heuristic for the maximal covering location problem," European Journal of Operational Research, Elsevier, vol. 88(1), pages 114-123, January.
    26. Richard Church & Charles R. Velle, 1974. "The Maximal Covering Location Problem," Papers in Regional Science, Wiley Blackwell, vol. 32(1), pages 101-118, January.
    27. Bennett, Vivienne L. & Eaton, David J. & Church, Richard L., 1982. "Selecting sites for rural health workers," Social Science & Medicine, Elsevier, vol. 16(1), pages 63-72, January.
    28. Kevin Curtin & Karen Hayslett-McCall & Fang Qiu, 2010. "Determining Optimal Police Patrol Areas with Maximal Covering and Backup Covering Location Models," Networks and Spatial Economics, Springer, vol. 10(1), pages 125-145, March.
    29. Rose, Geoff & Bennett, David W. & Evans, Alex T., 1992. "Locating and sizing road maintenance depots," European Journal of Operational Research, Elsevier, vol. 63(2), pages 151-163, December.
    30. Jeffrey D. Camm & James J. Cochran & David J. Curry & Sriram Kannan, 2006. "Conjoint Optimization: An Exact Branch-and-Bound Algorithm for the Share-of-Choice Problem," Management Science, INFORMS, vol. 52(3), pages 435-447, March.
    31. Alan T. Murray & Daoqin Tong & Tony H. Grubesic, 2012. "Spatial optimization: expanding emergency services to address regional growth and development," Chapters, in: Robert Stimson & Kingsley E. Haynes (ed.), Studies in Applied Geography and Spatial Analysis, chapter 7, pages 109-122, Edward Elgar Publishing.
    32. David J. Eaton & Mark S. Daskin & Dennis Simmons & Bill Bulloch & Glen Jansma, 1985. "Determining Emergency Medical Service Vehicle Deployment in Austin, Texas," Interfaces, INFORMS, vol. 15(1), pages 96-108, February.
    33. Kuby, Michael & Lim, Seow, 2005. "The flow-refueling location problem for alternative-fuel vehicles," Socio-Economic Planning Sciences, Elsevier, vol. 39(2), pages 125-145, June.
    34. Timothy Matisziw & Alan Murray, 2009. "Area coverage maximization in service facility siting," Journal of Geographical Systems, Springer, vol. 11(2), pages 175-189, June.
    35. Leo Bont & Hans Heinimann & Richard Church, 2015. "Concurrent optimization of harvesting and road network layouts under steep terrain," Annals of Operations Research, Springer, vol. 232(1), pages 41-64, September.
    36. Alexandris, George & Giannikos, Ioannis, 2010. "A new model for maximal coverage exploiting GIS capabilities," European Journal of Operational Research, Elsevier, vol. 202(2), pages 328-338, April.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Cordeau, Jean-François & Furini, Fabio & Ljubić, Ivana, 2019. "Benders decomposition for very large scale partial set covering and maximal covering location problems," European Journal of Operational Research, Elsevier, vol. 275(3), pages 882-896.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. James J. Cochran & Martin S. Levy & Jeffrey D. Camm, 2010. "Bayesian coverage optimization models," Journal of Combinatorial Optimization, Springer, vol. 19(2), pages 158-173, February.
    2. Ran Wei, 2016. "Coverage Location Models," International Regional Science Review, , vol. 39(1), pages 48-76, January.
    3. Wang, Wei & Wu, Shining & Wang, Shuaian & Zhen, Lu & Qu, Xiaobo, 2021. "Emergency facility location problems in logistics: Status and perspectives," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 154(C).
    4. Tony H. Grubesic & Timothy C. Matisziw & Alan T. Murray, 2011. "Market Coverage and Service Quality in Digital Subscriber Lines Infrastructure Planning," International Regional Science Review, , vol. 34(3), pages 368-390, July.
    5. Sam Ratick & Jeffrey Osleeb & Kangping Si, 2016. "The Maximal Cover Location Model with Hedging," International Regional Science Review, , vol. 39(1), pages 77-107, January.
    6. Brian T. Downs & Jeffrey D. Camm, 1996. "An exact algorithm for the maximal covering problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(3), pages 435-461, April.
    7. Stephanie A. Snyder & Robert G. Haight, 2016. "Application of the Maximal Covering Location Problem to Habitat Reserve Site Selection," International Regional Science Review, , vol. 39(1), pages 28-47, January.
    8. Jing Yao & Alan T. Murray, 2014. "Locational Effectiveness of Clinics Providing Sexual and Reproductive Health Services to Women in Rural Mozambique," International Regional Science Review, , vol. 37(2), pages 172-193, April.
    9. Xueping Li & Zhaoxia Zhao & Xiaoyan Zhu & Tami Wyatt, 2011. "Covering models and optimization techniques for emergency response facility location and planning: a review," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 74(3), pages 281-310, December.
    10. Chen, Liang & Chen, Sheng-Jie & Chen, Wei-Kun & Dai, Yu-Hong & Quan, Tao & Chen, Juan, 2023. "Efficient presolving methods for solving maximal covering and partial set covering location problems," European Journal of Operational Research, Elsevier, vol. 311(1), pages 73-87.
    11. Murray, Alan T. & Feng, Xin, 2016. "Public street lighting service standard assessment and achievement," Socio-Economic Planning Sciences, Elsevier, vol. 53(C), pages 14-22.
    12. Sorensen, Paul & Church, Richard, 2010. "Integrating expected coverage and local reliability for emergency medical services location problems," Socio-Economic Planning Sciences, Elsevier, vol. 44(1), pages 8-18, March.
    13. Ran Wei & Alan Murray & Rajan Batta, 2014. "A bounding-based solution approach for the continuous arc covering problem," Journal of Geographical Systems, Springer, vol. 16(2), pages 161-182, April.
    14. Zhong, Qing & Tong, Daoqin, 2020. "Spatial layout optimization for solar photovoltaic (PV) panel installation," Renewable Energy, Elsevier, vol. 150(C), pages 1-11.
    15. Wajid, Shayesta & Nezamuddin, N., 2023. "Capturing delays in response of emergency services in Delhi," Socio-Economic Planning Sciences, Elsevier, vol. 87(PA).
    16. Wajid, Shayesta & Nezamuddin, N., 2022. "A robust survival model for emergency medical services in Delhi, India," Socio-Economic Planning Sciences, Elsevier, vol. 83(C).
    17. Muren, & Li, Hao & Mukhopadhyay, Samar K. & Wu, Jian-jun & Zhou, Li & Du, Zhiping, 2020. "Balanced maximal covering location problem and its application in bike-sharing," International Journal of Production Economics, Elsevier, vol. 223(C).
    18. Alan Murray, 2010. "Advances in location modeling: GIS linkages and contributions," Journal of Geographical Systems, Springer, vol. 12(3), pages 335-354, September.
    19. Shayesta Wajid & N. Nezamuddin, 2023. "Optimizing emergency services for road safety using a decomposition method: a case study of Delhi," OPSEARCH, Springer;Operational Research Society of India, vol. 60(1), pages 155-173, March.
    20. Sadeghi, Mohammad & Yaghoubi, Saeed, 2024. "Optimization models for cloud seeding network design and operations," European Journal of Operational Research, Elsevier, vol. 312(3), pages 1146-1167.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sae:inrsre:v:39:y:2016:i:1:p:5-27. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: SAGE Publications (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.