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arXiv · 1807.01132

The power of thinning in balanced allocation

Ohad N. Feldheim·Ori Gurel-Gurevich
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Abstract

Balls are sequentially allocated into $n$ bins as follows: for each ball, an independent, uniformly random bin is generated. An overseer may then choose to either allocate the ball to this bin, or else the ball is allocated to a new independent uniformly random bin. The goal of the overseer is to reduce the load of the most heavily loaded bin after $\Theta(n)$ balls have been allocated. We provide an asymptotically optimal strategy yielding a maximum load of $(1+o(1))\sqrt{\frac{8\log n}{\log\log n}}$ balls.

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Ohad N. Feldheim, Ori Gurel-Gurevich. 2018-07-03. The power of thinning in balanced allocation. https://arxiv.org/abs/1807.01132

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