On the Nisan-Ronen conjecture

George Christodoulou; Elias Koutsoupias; Annamaria Kovacs

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arXiv · 2011.14434

On the Nisan-Ronen conjecture

George Christodoulou·Elias Koutsoupias·Annamaria Kovacs

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Abstract

The Nisan-Ronen conjecture states that no truthful mechanism for makespan-minimization when allocating $m$ tasks to $n$ unrelated machines can have approximation ratio less than $n$. Over more than two decades since its formulation, little progress has been made in resolving it and the best known lower bound is still a small constant. This work makes progress towards validating the conjecture by showing a lower bound of $1+\sqrt{n-1}$.

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George Christodoulou, Elias Koutsoupias, Annamaria Kovacs. 2020-11-29. On the Nisan-Ronen conjecture. https://arxiv.org/abs/2011.14434

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