| Issue |
RAIRO-Oper. Res.
Volume 50, Number 4-5, October-December 2016
|
|
|---|---|---|
| Page(s) | 979 - 994 | |
| DOI | https://doi.org/10.1051/ro/2015060 | |
| Published online | 03 November 2016 | |
Super-polynomial approximation branching algorithms∗
1 Sorbonne Universités, UPMC Univ Paris 06, CNRS, LIP6 UMR
7606, 4 place Jussieu, 75005 Paris, France.
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2 PSL Research University, Université Paris-Dauphine, LAMSADE
CNRS UMR 7243, Paris, France.
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Received:
11
June
2015
Accepted:
23
November
2015
Abstract
We give sufficient conditions for deriving moderately exponential and/or parameterized time approximation schemata (i.e., algorithms achieving ratios 1 ± ϵ, for arbitrarily small ϵ) for broad classes of combinatorial optimization problems via a well-known technique widely used for deriving exact algorithms, namely the branching tree pruning.
Mathematics Subject Classification: 68W25 / 05C85 / 68Q25
Key words: Branching algorithm / moderately exponential approximation / approximation schema
Research supported by the French Agency for Research under the DEFIS program TODO, ANR-09-EMER-010
© EDP Sciences, ROADEF, SMAI 2016
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