2010 | OriginalPaper | Buchkapitel
Solving LP Relaxations of Large-Scale Precedence Constrained Problems
verfasst von : Daniel Bienstock, Mark Zuckerberg
Erschienen in: Integer Programming and Combinatorial Optimization
Verlag: Springer Berlin Heidelberg
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We describe new algorithms for solving linear programming relaxations of very large precedence constrained production scheduling problems. We present theory that motivates a new set of algorithmic ideas that can be employed on a wide range of problems; on data sets arising in the mining industry our algorithms prove effective on problems with many millions of variables and constraints, obtaining provably optimal solutions in a few minutes of computation.