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An efficient algorithm for facility location in the presence of forbidden regions

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  • Butt, Steven E.
  • Cavalier, Tom M.

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  • Butt, Steven E. & Cavalier, Tom M., 1996. "An efficient algorithm for facility location in the presence of forbidden regions," European Journal of Operational Research, Elsevier, vol. 90(1), pages 56-70, April.
    • Handle: RePEc:eee:ejores:v:90:y:1996:i:1:p:56-70
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    References listed on IDEAS

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    1. Katz, I. Norman & Cooper, Leon, 1981. "Facility location in the presence of forbidden regions, I: Formulation and the case of Euclidean distance with one forbidden circle," European Journal of Operational Research, Elsevier, vol. 6(2), pages 166-173, February.
    2. Rajan Batta & Anjan Ghose & Udatta S. Palekar, 1989. "Locating Facilities on the Manhattan Metric with Arbitrarily Shaped Barriers and Convex Forbidden Regions," Transportation Science, INFORMS, vol. 23(1), pages 26-36, February.
    3. Viegas, Jose & Hansen, Pierre, 1985. "Finding shortest paths in the plane in the presence of barriers to travel (for any lp - norm)," European Journal of Operational Research, Elsevier, vol. 20(3), pages 373-381, June.
    4. Richard C. Larson & Ghazala Sadiq, 1983. "Facility Locations with the Manhattan Metric in the Presence of Barriers to Travel," Operations Research, INFORMS, vol. 31(4), pages 652-669, August.
    5. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
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    Cited by:

    1. Selçuk Savaş & Rajan Batta & Rakesh Nagi, 2002. "Finite-Size Facility Placement in the Presence of Barriers to Rectilinear Travel," Operations Research, INFORMS, vol. 50(6), pages 1018-1031, December.
    2. Canbolat, Mustafa S. & Wesolowsky, George O., 2012. "On the use of the Varignon frame for single facility Weber problems in the presence of convex barriers," European Journal of Operational Research, Elsevier, vol. 217(2), pages 241-247.
    3. Bischoff, M. & Klamroth, K., 2007. "An efficient solution method for Weber problems with barriers based on genetic algorithms," European Journal of Operational Research, Elsevier, vol. 177(1), pages 22-41, February.
    4. Zhang, Min & Savas, Selçuk & Batta, Rajan & Nagi, Rakesh, 2009. "Facility placement with sub-aisle design in an existing layout," European Journal of Operational Research, Elsevier, vol. 197(1), pages 154-165, August.
    5. Sarkar, Avijit & Batta, Rajan & Nagi, Rakesh, 2007. "Placing a finite size facility with a center objective on a rectangular plane with barriers," European Journal of Operational Research, Elsevier, vol. 179(3), pages 1160-1176, June.
    6. P. Dearing & K. Klamroth & R. Segars, 2005. "Planar Location Problems with Block Distance and Barriers," Annals of Operations Research, Springer, vol. 136(1), pages 117-143, April.
    7. Klamroth, K., 2004. "Algebraic properties of location problems with one circular barrier," European Journal of Operational Research, Elsevier, vol. 154(1), pages 20-35, April.
    8. 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.
    9. J. Brimberg & S. Salhi, 2005. "A Continuous Location-Allocation Problem with Zone-Dependent Fixed Cost," Annals of Operations Research, Springer, vol. 136(1), pages 99-115, April.
    10. 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.
    11. 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.
    12. Malgorzata Miklas-Kalczynska & Pawel Kalczynski, 2024. "Multiple obnoxious facility location: the case of protected areas," Computational Management Science, Springer, vol. 21(1), pages 1-21, June.
    13. Oğuz, Murat & Bektaş, Tolga & Bennell, Julia A., 2018. "Multicommodity flows and Benders decomposition for restricted continuous location problems," European Journal of Operational Research, Elsevier, vol. 266(3), pages 851-863.
    14. Kathrin Klamroth & Margaret M. Wiecek, 2002. "A Bi-Objective Median Location Problem With a Line Barrier," Operations Research, INFORMS, vol. 50(4), pages 670-679, August.
    15. 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.
    16. Butt, Steven E. & Cavalier, Tom M., 1997. "Facility location in the presence of congested regions with the rectilinear distance metric," Socio-Economic Planning Sciences, Elsevier, vol. 31(2), pages 103-113, June.
    17. Murat Oğuz & Tolga Bektaş & Julia A Bennell & Jörg Fliege, 2016. "A modelling framework for solving restricted planar location problems using phi-objects," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(8), pages 1080-1096, August.
    18. 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.
    19. Pawel Kalczynski & Zvi Drezner, 2021. "The obnoxious facilities planar p-median problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 43(2), pages 577-593, June.

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