On the Nisan-Ronen conjecture

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 bo...

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Autors principals: Christodoulou, G, Koutsoupias, E, Kovacs, A
Format: Journal article
Idioma:English
Publicat: Association for Computing Machinery 2022
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Sumari: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 was a small constant. This note gives an overview of our recent paper that gives a lower bound of 1 + √n − 1.