Rights statement: This is the peer reviewed version of the following article Bökler F, Ehrgott M, Morris C, Mutzel P. Output-sensitive complexity of multiobjective combinatorial optimization. J Multi-Crit Decis Anal. 2017;24:25–36. https://doi.org/10.1002/mcda.1603 which has been published in final form at http://onlinelibrary.wiley.com/doi/10.1002/mcda.1603/full This article may be used for non-commercial purposes in accordance With Wiley Terms and Conditions for self-archiving.
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Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
}
TY - JOUR
T1 - Output-sensitive complexity of multiobjective combinatorial optimization
AU - Bökler, Fritz
AU - Ehrgott, Matthias
AU - Morris, Christopher
AU - Mutzel, Petra
N1 - This is the peer reviewed version of the following article Bökler F, Ehrgott M, Morris C, Mutzel P. Output-sensitive complexity of multiobjective combinatorial optimization. J Multi-Crit Decis Anal. 2017;24:25–36. https://doi.org/10.1002/mcda.1603 which has been published in final form at http://onlinelibrary.wiley.com/doi/10.1002/mcda.1603/full This article may be used for non-commercial purposes in accordance With Wiley Terms and Conditions for self-archiving.
PY - 2017/1/1
Y1 - 2017/1/1
N2 - 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.
AB - 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.
U2 - 10.1002/mcda.1603
DO - 10.1002/mcda.1603
M3 - Journal article
VL - 24
SP - 25
EP - 36
JO - Journal of Multi-Criteria Decision Analysis
JF - Journal of Multi-Criteria Decision Analysis
SN - 1057-9214
IS - 1-2
ER -