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

A. Baskar and M. Anthony Xavior

Journal of the Operational Research Society, 2021, vol. 73, issue 11, 2385-2394

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.

Date: 2021
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DOI: 10.1080/01605682.2021.1984185

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