Output-sensitive Complexity of Multiobjective Combinatorial Optimization

October 23, 2016 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Fritz BΓΆkler, Matthias Ehrgott, Christopher Morris, Petra Mutzel arXiv ID 1610.07204 Category math.OC: Optimization & Control Cross-listed cs.CC, cs.DS Citations 33 Venue arXiv.org Last Checked 2 months ago
Abstract
We study output-sensitive algorithms and complexity for multiobjective combinatorial optimization problems. In this computational complexity framework, an algorithm for a general enumeration problem is regarded efficient if it is output-sensitive, i.e., its running time is bounded by a polynomial in the input and the output size. We provide both practical examples of MOCO problems for which such an efficient algorithm exists as well as problems for which no efficient algorithm exists under mild complexity theoretic assumptions.
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