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On the rectangular p‐center problem

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  • Zvi Drezner

Abstract

The p‐center problem involves finding the best locations for p facilities such that the furthest among n points is as close as possible to one of the facilities. Rectangular (sometimes called rectilinear, Manhattan, or l1) distances are considered. An O(n) algorithm for the 1‐center problem, an O(n) algorithm for the 2‐center problem, and an O(n logn) algorithm for the 3‐center problem are given. Generalizations to general p‐center problems are also discussed.

Suggested Citation

  • Zvi Drezner, 1987. "On the rectangular p‐center problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(2), pages 229-234, April.
    • Handle: RePEc:wly:navres:v:34:y:1987:i:2:p:229-234
    DOI: 10.1002/1520-6750(198704)34:23.0.CO;2-1
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    References listed on IDEAS

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    4. Reuven Chen, 1983. "Solution of minisum and minimax location–allocation problems with Euclidean distances," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 30(3), pages 449-459, September.
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    4. Xiaozhou He & Zhihui Liu & Bing Su & Yinfeng Xu & Feifeng Zheng & Binhai Zhu, 2019. "Efficient algorithms for computing one or two discrete centers hitting a set of line segments," Journal of Combinatorial Optimization, Springer, vol. 37(4), pages 1408-1423, May.

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