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Location of the Median Line for Weighted Points

Author

Listed:
  • G O Wesolowsky

    (Production and Management Science Area, Faculty of Business, McMaster University, Hamilton, Ontario, Canada)

Abstract

This paper presents a method for finding a median line or lines for a set of weighted points on a plane. This line is defined as the one that minimizes the sum of weighted perpendiculars from the points to the line. Among the possible applications is the design of transportation corridors.

Suggested Citation

  • G O Wesolowsky, 1975. "Location of the Median Line for Weighted Points," Environment and Planning A, , vol. 7(2), pages 163-170, April.
    • Handle: RePEc:sae:envira:v:7:y:1975:i:2:p:163-170
    DOI: 10.1068/a070163
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    Citations

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    Cited by:

    1. Jack Brimberg & Henrik Juel & Mark-Christoph Körner & Anita Schöbel, 2014. "Locating an axis-parallel rectangle on a Manhattan plane," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(1), pages 185-207, April.
    2. Diaz-Banez, J. M. & Mesa, J. A. & Schobel, A., 2004. "Continuous location of dimensional structures," European Journal of Operational Research, Elsevier, vol. 152(1), pages 22-44, January.
    3. Jack Brimberg & Henrik Juel & Anita Schöbel, 2007. "Locating a Circle on a Sphere," Operations Research, INFORMS, vol. 55(4), pages 782-791, August.
    4. Jack Brimberg & Henrik Juel & Anita Schöbel, 2002. "Linear Facility Location in Three Dimensions---Models and Solution Methods," Operations Research, INFORMS, vol. 50(6), pages 1050-1057, December.
    5. Mark-Christoph Körner & Jack Brimberg & Henrik Juel & Anita Schöbel, 2011. "Geometric fit of a point set by generalized circles," Journal of Global Optimization, Springer, vol. 51(1), pages 115-132, September.
    6. Blanquero, Rafael & Carrizosa, Emilio & Schöbel, Anita & Scholz, Daniel, 2011. "A global optimization procedure for the location of a median line in the three-dimensional space," European Journal of Operational Research, Elsevier, vol. 215(1), pages 14-20, November.
    7. Jack Brimberg & Robert Schieweck & Anita Schöbel, 2015. "Locating a median line with partial coverage distance," Journal of Global Optimization, Springer, vol. 62(2), pages 371-389, June.

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