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ε-Approximations for Multidimensional Weighted Location Problems

Author

Listed:
  • Zvi Drezner

    (California, State University, Fullerton, California)

  • Bezalel Gavish

    (The University of Rochester, Rochester, New York)

Abstract

This paper considers the multidimensional weighted minimax location problem, namely, finding a facility location that minimizes the maximal weighted distance to n points. General distance norms are used. An ε-approximate solution is obtained by applying a variant of the Russian method for the solution of Linear Programming. The algorithm has a time complexity of O ( n log ε) for fixed dimensionality k . Computational results are presented.

Suggested Citation

  • Zvi Drezner & Bezalel Gavish, 1985. "ε-Approximations for Multidimensional Weighted Location Problems," Operations Research, INFORMS, vol. 33(4), pages 772-783, August.
    • Handle: RePEc:inm:oropre:v:33:y:1985:i:4:p:772-783
    DOI: 10.1287/opre.33.4.772
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