LIPIcs.ICALP.2018.37.pdf
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Restricted Max-Min Fair Allocation
Authors
Siu-Wing Cheng 
,
Yuchen Mao
- Publication date: 2018-07-04
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Creative Commons Attribution 3.0 Unported license
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Volume:
45th International Colloquium on Automata, Languages, and Programming (ICALP 2018)
Series: Leibniz International Proceedings in Informatics (LIPIcs)
Conference: International Colloquium on Automata, Languages, and Programming (ICALP)
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Siu-Wing Cheng and Yuchen Mao. Restricted Max-Min Fair Allocation. In 45th International Colloquium on Automata, Languages, and Programming (ICALP 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 107, pp. 37:1-37:13, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2018)
https://doi.org/10.4230/LIPIcs.ICALP.2018.37
https://doi.org/10.4230/LIPIcs.ICALP.2018.37
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.
Subject Classification
ACM Subject Classification
- Theory of computation → Scheduling algorithms
Keywords
- Fair allocation
- approximation
- local search
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References
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