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New approximation algorithm for RTILE problem. (English) Zbl 1053.68127
Summary: For a given two-dimensional array of nonnegative numbers and a positive integer $$p$$ we want to find a covering of the array with $$p$$ tiles so as to minimize the weight of the heaviest tile. We present a $$\frac{9}{4}$$ -approximation linear-time algorithm for this problem, which improves on the previous best result.

##### MSC:
 68W25 Approximation algorithms 52C20 Tilings in $$2$$ dimensions (aspects of discrete geometry)
##### Keywords:
Rectangle tiling; Approximation algorithms
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##### References:
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