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Evaluation of inverse selection operators on maximum flow test generation problem

Published:19 July 2022Publication History

ABSTRACT

The choice of selection operators in evolutionary algorithms can greatly affect their performance, as it can be hard to balance maintaining population diversity with providing enough selection pressure. Recently Corus et al. have shown that reverse tournaments of fixed size can be a good default choice for steady-state evolutionary algorithms.

In this paper, we aim to further explore this idea, by evaluating the (μ + 1) evolutionary algorithm with uniform, k-inverse tournament and inverse elitist selection on the problem of hard test generation for the maximum flow problem. Our results show that the performance of the k-inverse tournament is highly dependent on the problem, the choices of population size and the tournament size. In some cases, the k-inverse tournament outperforms the uniform selection operator, but similar performance can be achieved by using the uniform selection with the increased population size.

References

  1. Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, and Clifford Stein. 2001. Introduction to Algorithms, 2nd Ed. MIT Press, Cambridge, Massachusetts.Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. Dogan Corus, Duc-Cuong Dang, Anton V. Eremeev, and Per Kristian Lehre. 2018. Level-Based Analysis of Genetic Algorithms and Other Search Processes. IEEE Transactions on Evolutionary Computation 22, 5 (2018), 707--719.Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. Dogan Corus, Andrei Lissovoi, Pietro S Oliveto, and Carsten Witt. 2021. On steady-state evolutionary algorithms and selective pressure: why inverse rank-based allocation of reproductive trials is best. ACM Transactions on Evolutionary Learning and Optimization 1, 1 (2021), 1--38.Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. Per Kristian Lehre. 2010. Negative drift in populations. In International Conference on Parallel Problem Solving from Nature. Springer, 244--253.Google ScholarGoogle ScholarCross RefCross Ref
  5. Vladimir Mironovich and Maxim Buzdalov. 2015. Hard test generation for maximum flow algorithms with the fast crossover-based evolutionary algorithm. In Proceedings of Genetic and Evolutionary Computation Conference Companion. 1229--1232.Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. Vladimir Mironovich and Maxim Buzdalov. 2017. Evaluation of heavy-tailed mutation operator on maximum flow test generation problem. In Proceedings of Genetic and Evolutionary Computation Conference Companion. 1423--1426.Google ScholarGoogle ScholarDigital LibraryDigital Library

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    • Published in

      cover image ACM Conferences
      GECCO '22: Proceedings of the Genetic and Evolutionary Computation Conference Companion
      July 2022
      2395 pages
      ISBN:9781450392686
      DOI:10.1145/3520304

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      Association for Computing Machinery

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      Publication History

      • Published: 19 July 2022

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