A PTAS for the disk cover problem of geometric objects
نویسندگان
چکیده
We present PTASes for the disk cover problem: given geometric objects and a finite set of disk centers, minimize the total cost for covering those objects with disks under a polynomial cost function on the disks’ radii. We describe the first FPTAS for covering a line segment when the disk centers form a discrete set, and a PTAS for when a set of geometric objects, described by polynomial algebraic inequalities, must be covered. The latter result holds for any dimension.
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عنوان ژورنال:
- Oper. Res. Lett.
دوره 41 شماره
صفحات -
تاریخ انتشار 2013