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Comments on the Paper: ‘Heuristic and Special Case Algorithms for Dispersion Problems’ by S. S. Ravi, D. J. Rosenkrantz, and G. K. Tayi

Author

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  • Arie Tamir

    (Tel Aviv University, Tel Aviv, Israel)

Abstract

The paper discusses Max-Min Facility Dispersion (MMFD) and Max-Avg Facility Dispersion (MAFD) problems. These problems are the subject of a paper by Ravi et al. (1994). The results presented in that paper include a simple heuristic for MMFD which provides a performance guarantee of 1/2, and a similar heuristic for MAFD with a performance guarantee of 1/4. It is also proved there that obtaining a performance guarantee of more than 1/2 for MMFD is NP-hard. For the two-dimensional version of MAFD, Ravi et al.'s paper presents a heuristic with an asymptotic performance guarantee of 2/ p . Further additional comments in this direction are given.

Suggested Citation

  • Arie Tamir, 1998. "Comments on the Paper: ‘Heuristic and Special Case Algorithms for Dispersion Problems’ by S. S. Ravi, D. J. Rosenkrantz, and G. K. Tayi," Operations Research, INFORMS, vol. 46(1), pages 157-158, February.
    • Handle: RePEc:inm:oropre:v:46:y:1998:i:1:p:157-158
    DOI: 10.1287/opre.46.1.157
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