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DOI: 10.4230/LIPIcs.ICALP.2018.37
URN: urn:nbn:de:0030-drops-90418
URL: https://drops.dagstuhl.de/opus/volltexte/2018/9041/
Cheng, Siu-Wing ; Mao, Yuchen
Restricted Max-Min Fair Allocation
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Abstract
The restricted max-min fair allocation problem seeks an allocation of resources to players that maximizes the minimum total value obtained by any player. It is NP-hard to approximate the problem to a ratio less than 2. Comparing the current best algorithm for estimating the optimal value with the current best for constructing an allocation, there is quite a gap between the ratios that can be achieved in polynomial time: 4+delta for estimation and 6 + 2 sqrt{10} + delta ~~ 12.325 + delta for construction, where delta is an arbitrarily small constant greater than 0. We propose an algorithm that constructs an allocation with value within a factor 6 + delta from the optimum for any constant delta > 0. The running time is polynomial in the input size for any constant delta chosen.
BibTeX - Entry
@InProceedings{cheng_et_al:LIPIcs:2018:9041,
author = {Siu-Wing Cheng and Yuchen Mao},
title = {{Restricted Max-Min Fair Allocation}},
booktitle = {45th International Colloquium on Automata, Languages, and Programming (ICALP 2018)},
pages = {37:1--37:13},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-076-7},
ISSN = {1868-8969},
year = {2018},
volume = {107},
editor = {Ioannis Chatzigiannakis and Christos Kaklamanis and D{\'a}niel Marx and Donald Sannella},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2018/9041},
URN = {urn:nbn:de:0030-drops-90418},
doi = {10.4230/LIPIcs.ICALP.2018.37},
annote = {Keywords: Fair allocation, approximation, local search}
}
| Keywords: | Fair allocation, approximation, local search | |
| Seminar: | 45th International Colloquium on Automata, Languages, and Programming (ICALP 2018) | |
| Issue date: | 2018 | |
| Date of publication: | 04.07.2018 |
