A practical heuristic for maximum coverage in large-scale continuous location problem

Document Type : Research Article

Authors

1 Department of Computer Science, University of Bojnord, Bojnord, Iran

2 Department of Computer Engineering, University of Bojnord, Bojnord, Iran

Abstract

This paper presents a new heuristic algorithm for the following covering problem. For a set of $n$ demand points in continuous space, locate a given number of facilities or sensors anywhere on the plane in order to obtain maximum coverage. This means, in this problem an infinite set of potential locations in continuous space should be explored. We present a heuristic algorithm that finds a near-optimal solution for large-scale instances of this problem in a reasonable time. Moreover, we compare our results with previous algorithms on randomly generated datasets that vary in size and distribution. Our experiments show that in comparison to other methods in the literature, the proposed algorithm is scalable and can find solutions for large-scale instances very fast, when previous algorithms unable to handle these instances. Finally, some results of the tests performed on a real-world dataset are also presented.

Keywords

Journal of Mathematical Modeling
Volume 9, Issue 4
December 2021
Pages 555-572

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