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Median line location problem with positive and negative weights and Euclidean norm

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Abstract

Let n existing facilities be given in the plane. The classical version of the median line location problem asks to find a line L in the plane, so that the sum of the weighted distances from L to all existing facilities is minimized. We consider the semi-obnoxious case, where every point has either a positive or a negative weight. In this paper, we discuss some properties of semi-obnoxious median line location problem with Euclidean norm and propose a particle swarm optimization algorithm for this problem.

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Acknowledgments

The authors would like to express their sincere gratitude to the anonymous referees for their careful reading of the manuscript and their constructive comments which resulted in the improvement of the paper.

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Authors and Affiliations

  1. Department of Mathematics, Shahrood University of Technology, University Blvd., Shahrood, Iran

    Mehdi Golpayegani & Jafar Fathali

  2. Department of Engineering, Shahrood University of Technology, University Blvd., Shahrood, Iran

    Eiman Khosravian

Authors
  1. Mehdi Golpayegani
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  2. Jafar Fathali
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  3. Eiman Khosravian
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Correspondence to Jafar Fathali.

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Golpayegani, M., Fathali, J. & Khosravian, E. Median line location problem with positive and negative weights and Euclidean norm. Neural Comput & Applic 24, 613–619 (2014). https://doi.org/10.1007/s00521-012-1262-1

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  • DOI: https://doi.org/10.1007/s00521-012-1262-1

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