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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書目詳細資料
Main Authors: Christodoulou, G, Koutsoupias, E, Kovacs, A
格式: Journal article
語言:English
出版: Association for Computing Machinery 2022
實物特徵
總結: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.