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A Wavefront Approach to Center Location Problems with Barriers

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  • L. Frießs
  • K. Klamroth
  • M. Sprau

Abstract

Center location problems have many applications, for example, in the public sector, and various different algorithms have been developed for their solution. This paper suggests a novel solution strategy to the problem that is based on the propagation of circular wavefronts. The approach is discussed theoretically and implemented both as a physical experiment and as a computer simulation. Copyright Springer Science + Business Media, Inc. 2005

Suggested Citation

  • L. Frießs & K. Klamroth & M. Sprau, 2005. "A Wavefront Approach to Center Location Problems with Barriers," Annals of Operations Research, Springer, vol. 136(1), pages 35-48, April.
    • Handle: RePEc:spr:annopr:v:136:y:2005:i:1:p:35-48:10.1007/s10479-005-2037-1
    DOI: 10.1007/s10479-005-2037-1
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    References listed on IDEAS

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    1. Klamroth, K., 2001. "A reduction result for location problems with polyhedral barriers," European Journal of Operational Research, Elsevier, vol. 130(3), pages 486-497, May.
    2. P.M. Dearing & R. Segars, 2002. "Solving Rectilinear Planar Location Problems with Barriers by a Polynomial Partitioning," Annals of Operations Research, Springer, vol. 111(1), pages 111-133, March.
    3. P.M. Dearing & H.W. Hamacher & K. Klamroth, 2002. "Dominating sets for rectilinear center location problems with polyhedral barriers," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(7), pages 647-665, October.
    4. Richard L. Francis, 1967. "Letter to the Editor—Some Aspects of a Minimax Location Problem," Operations Research, INFORMS, vol. 15(6), pages 1163-1169, December.
    5. P.M. Dearing & R. Segars, 2002. "An Equivalence Result for Single Facility Planar Location Problems with Rectilinear Distance and Barriers," Annals of Operations Research, Springer, vol. 111(1), pages 89-110, March.
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    Cited by:

    1. Kelachankuttu, Hari & Batta, Rajan & Nagi, Rakesh, 2007. "Contour line construction for a new rectangular facility in an existing layout with rectangular departments," European Journal of Operational Research, Elsevier, vol. 180(1), pages 149-162, July.
    2. Amiri-Aref, Mehdi & Farahani, Reza Zanjirani & Hewitt, Mike & Klibi, Walid, 2019. "Equitable location of facilities in a region with probabilistic barriers to travel," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 127(C), pages 66-85.
    3. Canbolat, Mustafa S. & Wesolowsky, George O., 2010. "The rectilinear distance Weber problem in the presence of a probabilistic line barrier," European Journal of Operational Research, Elsevier, vol. 202(1), pages 114-121, April.
    4. Masashi Miyagawa, 2012. "Rectilinear distance to a facility in the presence of a square barrier," Annals of Operations Research, Springer, vol. 196(1), pages 443-458, July.
    5. Masashi Miyagawa, 2017. "Continuous location model of a rectangular barrier facility," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(1), pages 95-110, April.

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