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98
Voted
FOCS
2009
IEEE
15 years 7 months ago
Smoothed Analysis of Multiobjective Optimization
Abstract— We prove that the number of Pareto-optimal solutions in any multiobjective binary optimization problem with a finite number of linear objective functions is polynomial...
Heiko Röglin, Shang-Hua Teng
100
Voted
STOC
2004
ACM
150views Algorithms» more  STOC 2004»
16 years 20 days ago
Typical properties of winners and losers in discrete optimization
We present a probabilistic analysis for a large class of combinatorial optimization problems containing, e.g., all binary optimization problems defined by linear constraints and a...
René Beier, Berthold Vöcking