OneMax in Black-Box Models with Several Restrictions

@article{Doerr2015OneMaxIB,
  title={OneMax in Black-Box Models with Several Restrictions},
  author={Carola Doerr and Johannes Lengler},
  journal={Proceedings of the 2015 Annual Conference on Genetic and Evolutionary Computation},
  year={2015}
}
  • Carola Doerr, J. Lengler
  • Published 11 July 2015
  • Computer Science, Mathematics
  • Proceedings of the 2015 Annual Conference on Genetic and Evolutionary Computation
As in classical runtime analysis the OneMax problem is the most prominent test problem also in black-box complexity theory. It is known that the unrestricted, the memory-restricted, and the ranking-based black-box complexities of this problem are all of order n/log n, where n denotes the length of the bit strings. The combined memory-restricted ranking-based black-box complexity of OneMax, however, was not known. We show in this work that it is Θ(n) for the smallest possible size bound, that is… Expand
5 Citations
OneMax in Black-Box Models with Several Restrictions
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This work shows that the (1+1) memory-restricted ranking-based black-box complexity of OneMax is linear, and provides improved lower bounds for the complexity of the OneMax in the regarded models. Expand
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