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Parameterized complexity of configuration integer programs
Affiliation:1. Department of Theoretical Computer Science, Faculty of Information Technology, Czech Technical University in Prague, Prague, Czech Republic;2. Charles University, Prague, Czech Republic;3. Technion – Israel Institute of Technology, Haifa, Israel;4. Hamburg University of Technology, Institute for Algorithms and Complexity, Hamburg, Germany
Abstract:Configuration integer programs (IP) have been key in the design of algorithms for NP-hard high-multiplicity problems. First, we develop fast exact (exponential-time) algorithms for Configuration IP and matching hardness results. Second, we showcase the implications of these results to bin-packing and facility-location-like problems.
Keywords:Parameterized algorithms  Configuration IP  Surfing
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