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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)
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