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Exploiting Structure: Location Problems on Trees and Treelike Graphs

In: Foundations of Location Analysis

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  • Rex K. Kincaid

    (The College of William and Mary)

Abstract

Posing location problems on graphs or networks has sharpened our understanding of what underlying structures can be exploited to prove theorems and to develop efficient algorithms. The construction of efficient algorithms for network location problems has been greatly aided by the work of computer scientists who have devised algorithms and data structures that allow efficient traversal and storage of graphs. In this chapter the contributions of three early location analysis papers are examined in detail. Key ideas are identified and their effects traced forward through the literature. In addition, natural extensions of these key ideas are included. However, no attempt is made to be encyclopedic when surveying the literature. The chapter concludes with comments on future research directions.

Suggested Citation

  • Rex K. Kincaid, 2011. "Exploiting Structure: Location Problems on Trees and Treelike Graphs," International Series in Operations Research & Management Science, in: H. A. Eiselt & Vladimir Marianov (ed.), Foundations of Location Analysis, chapter 0, pages 315-334, Springer.
  • Handle: RePEc:spr:isochp:978-1-4419-7572-0_14
    DOI: 10.1007/978-1-4419-7572-0_14
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    Cited by:

    1. Kress, Dominik & Pesch, Erwin, 2012. "Sequential competitive location on networks," European Journal of Operational Research, Elsevier, vol. 217(3), pages 483-499.

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