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Chaotic Honeybees Optimization Algorithms Approach for Traveling Salesperson Problem

Author

Listed:
  • Pedro Palominos
  • Carla Ortega
  • Miguel Alfaro
  • Guillermo Fuertes
  • Manuel Vargas
  • Mauricio Camargo
  • Victor Parada
  • Gustavo Gatica

Abstract

Due to the difficulty in solving combinatorial optimization problems, it is necessary to improve the performance of the algorithms by improving techniques to deal with complex optimizations. This research addresses the metaheuristics of marriage in honey‐bees optimization (MBO) based on the behavior of bees. The current study proposes a technique for solving combinatorial optimization problems within proper computation times. The purpose of this study focuses on the travelling salesperson problem and the application of chaotic methods in important sections of the MBO metaheuristic. Three experiments were conducted to measure the efficiency and quality of the solutions: (1) MBO with chaos to generate initial solutions (MBO2); (2) MBO with chaos in the workers (MBO3); and (3) MBO with chaos to generate initial solutions and the workers (MBO4). The application of chaotic functions in MBO was significantly better at solving the travelling salesperson problem.

Suggested Citation

  • Pedro Palominos & Carla Ortega & Miguel Alfaro & Guillermo Fuertes & Manuel Vargas & Mauricio Camargo & Victor Parada & Gustavo Gatica, 2022. "Chaotic Honeybees Optimization Algorithms Approach for Traveling Salesperson Problem," Complexity, John Wiley & Sons, vol. 2022(1).
  • Handle: RePEc:wly:complx:v:2022:y:2022:i:1:n:8903005
    DOI: 10.1155/2022/8903005
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    References listed on IDEAS

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    1. Manuel Vargas & Guillermo Fuertes & Miguel Alfaro & Gustavo Gatica & Sebastian Gutierrez & María Peralta, 2018. "The Effect of Entropy on the Performance of Modified Genetic Algorithm Using Earthquake and Wind Time Series," Complexity, Hindawi, vol. 2018, pages 1-13, August.
    2. Alatas, Bilal & Akin, Erhan & Ozer, A. Bedri, 2009. "Chaos embedded particle swarm optimization algorithms," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1715-1734.
    3. Lixiong Lin, 2020. "Predefined-Time Antisynchronization of Two Different Chaotic Neural Networks," Complexity, Hindawi, vol. 2020, pages 1-11, June.
    4. Shen, Yanqing, 2018. "Improved chaos genetic algorithm based state of charge determination for lithium batteries in electric vehicles," Energy, Elsevier, vol. 152(C), pages 576-585.
    5. Omid Haddad & Abbas Afshar & Miguel Mariño, 2006. "Honey-Bees Mating Optimization (HBMO) Algorithm: A New Heuristic Approach for Water Resources Optimization," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 20(5), pages 661-680, October.
    6. Michael B. Teitz & Polly Bart, 1968. "Heuristic Methods for Estimating the Generalized Vertex Median of a Weighted Graph," Operations Research, INFORMS, vol. 16(5), pages 955-961, October.
    7. Sebastián Dávila & Miguel Alfaro & Guillermo Fuertes & Manuel Vargas & Mauricio Camargo, 2021. "Vehicle Routing Problem with Deadline and Stochastic Service Times: Case of the Ice Cream Industry in Santiago City of Chile," Mathematics, MDPI, vol. 9(21), pages 1-18, October.
    8. Lahmiri, Salim & Bekiros, Stelios, 2019. "Cryptocurrency forecasting with deep learning chaotic neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 35-40.
    9. Pedro PALOMINOS & Francisco TOLEDO & Andrés VÉJAR & Miguel ALFARO, 2012. "Marriage in Honey Bees Optimization Algorithm for Flow-shop Problems," Informatica Economica, Academy of Economic Studies - Bucharest, Romania, vol. 16(2), pages 27-34.
    10. Miguel Alfaro & Manuel Vargas & Guillermo Fuertes & Juan Pedro Sepúlveda-Rojas, 2018. "Proposal of Two Measures of Complexity Based on Lempel-Ziv for Dynamic Systems: An Application for Manufacturing Systems," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-11, January.
    11. Bingol, Harun & Alatas, Bilal, 2020. "Chaos based optics inspired optimization algorithms as global solution search approach," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    12. Janmenjoy Nayak & Bighnaraj Naik, 2018. "A Novel Honey-Bees Mating Optimization Approach with Higher order Neural Network for Classification," Journal of Classification, Springer;The Classification Society, vol. 35(3), pages 511-548, October.
    13. Miguel Alfaro & Guillermo Fuertes & Manuel Vargas & Juan Sepúlveda & Matias Veloso-Poblete, 2018. "Forecast of Chaotic Series in a Horizon Superior to the Inverse of the Maximum Lyapunov Exponent," Complexity, Hindawi, vol. 2018, pages 1-9, September.
    14. Jiang, Congshi & Chen, Quan, 2020. "Construction of blind restoration model for super-resolution image based on chaotic neural network," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    15. Marco Dorigo & Thomas Stützle, 2019. "Ant Colony Optimization: Overview and Recent Advances," International Series in Operations Research & Management Science, in: Michel Gendreau & Jean-Yves Potvin (ed.), Handbook of Metaheuristics, edition 3, chapter 0, pages 311-351, Springer.
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