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...

Szczegółowa specyfikacja

Opis bibliograficzny
Główni autorzy: Christodoulou, G, Koutsoupias, E, Kovacs, A
Format: Journal article
Język:English
Wydane: Association for Computing Machinery 2022
Opis
Streszczenie: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.