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arXiv · 1907.04505

An Algorithmic Framework for Approximating Maximin Share Allocation of Chores

Xin Huang·Pinyan Lu
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Abstract

In this paper, we consider the problem of how to fairly dividing $m$ indivisible chores among $n$ agents. The fairness measure we considered here is the maximin share. The previous best known result is that there always exists a $\frac{4}{3}$ approximation maximin share allocation. With a novel algorithm, we can always find a $\frac{11}{9}$ approximation maximin share allocation for any instances. We also discuss how to improve the efficiency of the algorithm and its connection to the job scheduling problem.

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BibTeXRIS

Xin Huang, Pinyan Lu. 2019-07-10. An Algorithmic Framework for Approximating Maximin Share Allocation of Chores. https://arxiv.org/abs/1907.04505

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