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arXiv · 1804.10902

Restricted Max-Min Fair Allocation

Siu-Wing Cheng·Yuchen Mao
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Abstract

The restricted max-min fair allocation problem seeks an allocation of resources to players that maximizes the minimum total value obtained by any player. It is NP-hard to approximate the problem to a ratio less than 2. Comparing the current best algorithm for estimating the optimal value with the current best for constructing an allocation, there is quite a gap between the ratios that can be achieved in polynomial time: roughly 4 for estimation and roughly $6 + 2\sqrt{10}$ for construction. We propose an algorithm that constructs an allocation with value within a factor of $6 + \delta$ from the optimum for any constant $\delta > 0$. The running time is polynomial in the input size for any constant $\delta$ chosen.

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Siu-Wing Cheng, Yuchen Mao. 2018-04-29. Restricted Max-Min Fair Allocation. https://arxiv.org/abs/1804.10902

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