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arXiv · 0809.1489

An optimal local approximation algorithm for max-min linear programs

Patrik Floréen·Joel Kaasinen·Petteri Kaski·Jukka Suomela
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Abstract

We present a local algorithm (constant-time distributed algorithm) for approximating max-min LPs. The objective is to maximise $\omega$ subject to $Ax \le 1$, $Cx \ge \omega 1$, and $x \ge 0$ for nonnegative matrices $A$ and $C$. The approximation ratio of our algorithm is the best possible for any local algorithm; there is a matching unconditional lower bound.

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Patrik Floréen, Joel Kaasinen, Petteri Kaski, Jukka Suomela. 2008-09-09. An optimal local approximation algorithm for max-min linear programs. https://doi.org/10.1145/1583991.1584058

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