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New bounds established for weighted maximin share chore allocation

By PulseAugur Editorial · [1 sources] ·

Researchers have improved the bounds for approximating weighted maximin share (WMMS) allocations for indivisible chores among agents with varying weights and costs. The study establishes that a 4.124234528-WMMS allocation is always possible and provides a polynomial-time algorithm for rational inputs to achieve a 4.12424-WMMS allocation. This work narrows the previously known gap from [2, 12] to [e, 4.12424], significantly advancing the understanding of fair resource distribution. AI

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RANK_REASON The cluster contains a research paper published on arXiv detailing theoretical computer science advancements. [lever_c_demoted from research: ic=1 ai=0.1]

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New bounds established for weighted maximin share chore allocation

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The cluster contains a research paper published on arXiv detailing theoretical computer science advancements. [lever_c_demoted from research: ic=1 ai=0.1]
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COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Trung Thanh Nguyen, Khaled Elbassioni, J\"{o}rg Rothe ·

    Improving the Bounds on Approximating Weighted Maximin Share for Chores

    arXiv:2610.15520v1 Announce Type: cross Abstract: We investigate the problem of allocating indivisible chores among agents with arbitrary positive weights and additive nonnegative cost functions. An allocation is said to be $\alpha$-weighted-maximin-share (WMMS) fair if the cost …

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