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State of the Art---Location on Networks: A Survey. Part II: Exploiting Tree Network Structure

Author

Listed:
  • Barbaros C. Tansel

    (Georgia Institute of Technology)

  • Richard L. Francis

    (University of Florida)

  • Timothy J. Lowe

    (Purdue University)

Abstract

The discussion of the fundamental p-center and p-median problems in Part I of this paper provides the basis for the work surveyed in Part II. Part II deals with the minimax and minisum location problems with mutual communication, location problems involving multiple objectives, the distance constraints problem and problems involving the location of paths. In addition, convexity issues in network location problems are discussed. Virtually all of this work exploits network structure. Specifically it is based on the assumption that the network is a tree. The conclusion section gives a brief discussion of the state of the art and of current trends in network location research.

Suggested Citation

  • Barbaros C. Tansel & Richard L. Francis & Timothy J. Lowe, 1983. "State of the Art---Location on Networks: A Survey. Part II: Exploiting Tree Network Structure," Management Science, INFORMS, vol. 29(4), pages 498-511, April.
    • Handle: RePEc:inm:ormnsc:v:29:y:1983:i:4:p:498-511
    DOI: 10.1287/mnsc.29.4.498
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    Citations

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    Cited by:

    1. João António Zeferino, 2020. "Optimizing the location of aerial resources to combat wildfires: a case study of Portugal," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 100(3), pages 1195-1213, February.
    2. 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.
    3. Gregory Dobson & Euthemia Stavrulaki, 2007. "Simultaneous price, location, and capacity decisions on a line of time‐sensitive customers," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(1), pages 1-10, February.
    4. Volodymyr V. Sysoiev, 2013. "Optimizing the Number and Location of Warehouses in Logistics Networks Considering the Optimal Delivery Routes and Set Level of Reserve Stock," Theory Methodology Practice (TMP), Faculty of Economics, University of Miskolc, vol. 9(02), pages 85-93.
    5. Kress, Dominik & Pesch, Erwin, 2012. "Sequential competitive location on networks," European Journal of Operational Research, Elsevier, vol. 217(3), pages 483-499.
    6. Mark S. Daskin, 2008. "What you should know about location modeling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(4), pages 283-294, June.
    7. Peeters, Peter H., 1998. "Some new algorithms for location problems on networks," European Journal of Operational Research, Elsevier, vol. 104(2), pages 299-309, January.

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