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Using multiple offspring sampling to guide genetic algorithms to solve permutation problems

Published: 12 July 2008 Publication History

Abstract

The correct choice of an evolutionary algorithm, a genetic representation for the problem being solved (as well as their associated variation operators) and the appropriate values for the parameters of the algorithm is a hard task and it is often considered as an optimization problem itself.
In this contribution, we propose a new theoretical formalism, called Multiple Offspring Sampling (MOS). This new technique combines different evolutionary approaches taking advantage of the benefits provided by each of them. MOS dynamically balances the participation of different mechanisms to spawn the new offspring population, according to the benefits provided by each of them in previous generations. This approach evaluates multiple offspring generation methods (for example different coding strategies), and configures appropriate sampling sizes.
This formalism has been applied to a well-known permutation problem, the traveling salesman problem (TSP). The results on several instances of this problem show that most of the combined techniques outperform the results obtained by single ones.

References

[1]
W. Banzhaf. The "molecular" traveling salesman. Biological Cybernetics, 64:7--14, 1990.
[2]
L. Davis. Applying adaptive algorithms to epistatic domains. In Proceedings of the 9th IJCAI, pages 162--164, 1985.
[3]
J. Holland. Adaptation in natural and artificial systems. University of Michigan Press, 1975.
[4]
I. Oliver, D. Smith, and J. Holland. A study of permutation crossover operators on the traveling salesman problem. In Proceedings of the Second International Conference on Genetic Algorithms on Genetic algorithms and their application, pages 224--230, Mahwah, NJ, USA, 1987. Lawrence Erlbaum Associates, Inc.

Cited By

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  • (2024)A decomposition framework based on memorized binary search for large-scale optimization problemsInformation Sciences10.1016/j.ins.2024.121063(121063)Online publication date: Jun-2024
  • (2024)Deep clustering of the traveling salesman problem to parallelize its solutionComputers & Operations Research10.1016/j.cor.2024.106548165(106548)Online publication date: May-2024
  • (2022)A Review of Population-Based Metaheuristics for Large-Scale Black-Box Global Optimization—Part IIEEE Transactions on Evolutionary Computation10.1109/TEVC.2021.313083826:5(802-822)Online publication date: Oct-2022
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    cover image ACM Conferences
    GECCO '08: Proceedings of the 10th annual conference on Genetic and evolutionary computation
    July 2008
    1814 pages
    ISBN:9781605581309
    DOI:10.1145/1389095
    • Conference Chair:
    • Conor Ryan,
    • Editor:
    • Maarten Keijzer
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    New York, NY, United States

    Publication History

    Published: 12 July 2008

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    Author Tags

    1. genetic algorithms
    2. hybrid evolutionary methods
    3. multiple offspring sampling
    4. permutation problems
    5. traveling salesman problem

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    Overall Acceptance Rate 1,669 of 4,410 submissions, 38%

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    View all
    • (2024)A decomposition framework based on memorized binary search for large-scale optimization problemsInformation Sciences10.1016/j.ins.2024.121063(121063)Online publication date: Jun-2024
    • (2024)Deep clustering of the traveling salesman problem to parallelize its solutionComputers & Operations Research10.1016/j.cor.2024.106548165(106548)Online publication date: May-2024
    • (2022)A Review of Population-Based Metaheuristics for Large-Scale Black-Box Global Optimization—Part IIEEE Transactions on Evolutionary Computation10.1109/TEVC.2021.313083826:5(802-822)Online publication date: Oct-2022
    • (2014)Applying GA with local search by taking hamming distances into consideration to credit erasure processing problemsProceedings of the 2014 Annual Conference on Genetic and Evolutionary Computation10.1145/2576768.2598229(1183-1190)Online publication date: 12-Jul-2014
    • (2010)Learning hybridization strategies in evolutionary algorithmsIntelligent Data Analysis10.5555/1839514.183951914:3(333-354)Online publication date: 1-Aug-2010
    • (2010)Mapping the performance of heuristics for Constraint SatisfactionIEEE Congress on Evolutionary Computation10.1109/CEC.2010.5585965(1-8)Online publication date: Jul-2010
    • (2009)Quality measures to adapt the participation in MOSProceedings of the Eleventh conference on Congress on Evolutionary Computation10.5555/1689599.1689716(888-895)Online publication date: 18-May-2009
    • (2009)Quality measures to adapt the participation in MOS2009 IEEE Congress on Evolutionary Computation10.1109/CEC.2009.4983039(888-895)Online publication date: May-2009

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