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Technical Note—Extension of the Elzinga-Hearn Algorithm to the Weighted Case

Author

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  • Christakis Charalambous

    (University of Petroleum and Minerals, Dhahran, Saudi Arabia)

Abstract

The problem considered in this note is that of locating a single new facility among m existing facilities with the objective of minimizing the maximum weighted Euclidean distance of the new facility from the existing facilities, without making the assumption that all the weights are equal. The new algorithm takes into consideration the structure of the problem, and it will terminate in a finite number of iterations if exact arithmetic is used.

Suggested Citation

  • Christakis Charalambous, 1982. "Technical Note—Extension of the Elzinga-Hearn Algorithm to the Weighted Case," Operations Research, INFORMS, vol. 30(3), pages 591-594, June.
    • Handle: RePEc:inm:oropre:v:30:y:1982:i:3:p:591-594
    DOI: 10.1287/opre.30.3.591
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    Cited by:

    1. Minnie H. Patel & Deborah L. Nettles & Stuart J. Deutsch, 1993. "A linear‐programming‐based method for determining whether or not n demand points are on a hemisphere," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(4), pages 543-552, June.
    2. M. Cera & J. A. Mesa & F. A. Ortega & F. Plastria, 2008. "Locating a Central Hunter on the Plane," Journal of Optimization Theory and Applications, Springer, vol. 136(2), pages 155-166, February.

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