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A four-point direction search heuristic algorithm applied to facility location on plane, sphere, and ellipsoid surfaces

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  • A. Baskar
  • M. Anthony Xavior

Abstract

A facility location problem (FLP) refers to the best location for establishing a facility to optimally connect and meet the requirements of the demand points. In a supply chain on the earth’s surface, the cost function essentially includes a distance metric to compute the objective function. If the data points are located in a small area, Euclidean Distance (ED) can be considered. When the data points are fairly separated on the earth’s surface, ED cannot give a correct estimate and we have to opt for either a spherical model or an ellipsoidal model. This paper proposes a simple four-point direction search algorithm and a model which can be used for locating a facility on a plane, sphere, and ellipsoid model of earth. The main advantage of the proposed algorithm is that it can be used with any distance metric without changing the algorithm.

Suggested Citation

  • A. Baskar & M. Anthony Xavior, 2021. "A four-point direction search heuristic algorithm applied to facility location on plane, sphere, and ellipsoid surfaces," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 73(11), pages 2385-2394, December.
    • Handle: RePEc:taf:tjorxx:v:73:y:2021:i:11:p:2385-2394
    DOI: 10.1080/01605682.2021.1984185
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