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Covering Part of a Planar Network

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  • Zvi Drezner
  • George Wesolowsky

Abstract

The problem of locating facilities in a feasible area covering some parts of network links within a given radius is analyzed. The feasible area can be the interior (convex hull of the nodes) of a planar network or any union of convex polygons. Both minimization and maximization of coverage are considered. The single facility location problem is solved by the global optimization approach “Big Triangle Small Triangle.” The multiple facility maximization problem is solved by a specially designed heuristic algorithm. The idea of the heuristic algorithm may prove to work well on other planar multiple facility location problems. Computational experience with problems of up to 40,000 links demonstrate the effectiveness of the single facility and multiple facilities algorithms. The largest single facility minimal cover problem is solved in about one minute and the largest single facility maximal cover problem is solved in less than 4 minutes. Copyright Springer Science+Business Media New York 2014

Suggested Citation

  • Zvi Drezner & George Wesolowsky, 2014. "Covering Part of a Planar Network," Networks and Spatial Economics, Springer, vol. 14(3), pages 629-646, December.
    • Handle: RePEc:kap:netspa:v:14:y:2014:i:3:p:629-646
    DOI: 10.1007/s11067-014-9263-5
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    References listed on IDEAS

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    1. Tammy Drezner & Zvi Drezner, 2019. "Cooperative Cover of Uniform Demand," Networks and Spatial Economics, Springer, vol. 19(3), pages 819-831, September.

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