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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Main Authors: Christodoulou, G, Koutsoupias, E, Kovacs, A
Formato: Conference item
Idioma:English
Publicado: IEEE 2022
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author Christodoulou, G
Koutsoupias, E
Kovacs, A
author_facet Christodoulou, G
Koutsoupias, E
Kovacs, A
author_sort Christodoulou, G
collection OXFORD
description 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+ ✓ n -1.
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spelling oxford-uuid:730e8d8b-3da7-43f2-913a-484629a0920f2022-03-26T19:54:02ZOn the Nisan-Ronen conjectureConference itemhttp://purl.org/coar/resource_type/c_5794uuid:730e8d8b-3da7-43f2-913a-484629a0920fEnglishSymplectic ElementsIEEE2022Christodoulou, GKoutsoupias, EKovacs, AThe 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+ ✓ n -1.
spellingShingle Christodoulou, G
Koutsoupias, E
Kovacs, A
On the Nisan-Ronen conjecture
title On the Nisan-Ronen conjecture
title_full On the Nisan-Ronen conjecture
title_fullStr On the Nisan-Ronen conjecture
title_full_unstemmed On the Nisan-Ronen conjecture
title_short On the Nisan-Ronen conjecture
title_sort on the nisan ronen conjecture
work_keys_str_mv AT christodouloug onthenisanronenconjecture
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