Optimal circle covering problems and their applications

Balázs Bánhelyi (), Endre Palatinus () and Balázs Lévai ()

Central European Journal of Operations Research, 2015, vol. 23, issue 4, 815-832

Abstract: We study a special type of circle covering problem, the complete cover of polygons by not necessarily congruent circles with prescribed centres. We introduce a branch-and-bound algorithm which is able to check whether an actual set of circles covers a given polygon. Furthermore, we present a method capable of finding the optimal cover with arbitrary precision. These techniques are based on interval arithmetic, therefore our results are numerically reliable. To demonstrate the performance of the developed optimization method, we determine the optimal cover of the unit square and an irregular polygon. Copyright Springer-Verlag Berlin Heidelberg 2015

Keywords: Interval arithmetics; Circle covering; Global optimization (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10100-014-0362-7

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