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Embedded Learning Approaches in the Whale Optimizer to Solve Coverage Combinatorial Problems

Author

Listed:
  • Marcelo Becerra-Rozas

    (Escuela de Ingeniería Informática, Pontificia Universidad Católica de Valparaíso, Valparaíso 2362807, Chile)

  • Felipe Cisternas-Caneo

    (Escuela de Ingeniería Informática, Pontificia Universidad Católica de Valparaíso, Valparaíso 2362807, Chile)

  • Broderick Crawford

    (Escuela de Ingeniería Informática, Pontificia Universidad Católica de Valparaíso, Valparaíso 2362807, Chile)

  • Ricardo Soto

    (Escuela de Ingeniería Informática, Pontificia Universidad Católica de Valparaíso, Valparaíso 2362807, Chile)

  • José García

    (Escuela de Ingeniería de Construcción y Transporte, Pontificia Universidad Católica de Valparaíso, Avenida Brasil 2147, Valparaíso 2362807, Chile)

  • Gino Astorga

    (Escuela de Negocios Internacionales, Universidad de Valparaíso, Viña del Mar 2572048, Chile)

  • Wenceslao Palma

    (Escuela de Ingeniería Informática, Pontificia Universidad Católica de Valparaíso, Valparaíso 2362807, Chile)

Abstract

When we face real problems using computational resources, we understand that it is common to find combinatorial problems in binary domains. Moreover, we have to take into account a large number of possible candidate solutions, since these can be numerous and make it complicated for classical algorithmic techniques to address them. When this happens, in most cases, it becomes a problem due to the high resource cost they generate, so it is of utmost importance to solve these problems efficiently. To cope with this problem, we can apply other methods, such as metaheuristics. There are some metaheuristics that allow operation in discrete search spaces; however, in the case of continuous swarm intelligence metaheuristics, it is necessary to adapt them to operate in discrete domains. To perform this adaptation, it is necessary to use a binary scheme to take advantage of the original moves of the metaheuristics designed for continuous problems. In this work, we propose to hybridize the whale optimization algorithm metaheuristic with the Q-learning reinforcement learning technique, which we call (the QBWOA). By using this technique, we are able to realize an smart and fully online binarization scheme selector, the results have been statistically promising thanks to the respective tables and graphs.

Suggested Citation

  • Marcelo Becerra-Rozas & Felipe Cisternas-Caneo & Broderick Crawford & Ricardo Soto & José García & Gino Astorga & Wenceslao Palma, 2022. "Embedded Learning Approaches in the Whale Optimizer to Solve Coverage Combinatorial Problems," Mathematics, MDPI, vol. 10(23), pages 1-18, November.
  • Handle: RePEc:gam:jmathe:v:10:y:2022:i:23:p:4529-:d:989237
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    References listed on IDEAS

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    1. Jose M. Lanza-Gutierrez & N. C. Caballe & Broderick Crawford & Ricardo Soto & Juan A. Gomez-Pulido & Fernando Paredes, 2020. "Exploring Further Advantages in an Alternative Formulation for the Set Covering Problem," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-24, July.
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    7. Karimi-Mamaghan, Maryam & Mohammadi, Mehrdad & Meyer, Patrick & Karimi-Mamaghan, Amir Mohammad & Talbi, El-Ghazali, 2022. "Machine learning at the service of meta-heuristics for solving combinatorial optimization problems: A state-of-the-art," European Journal of Operational Research, Elsevier, vol. 296(2), pages 393-422.
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    Cited by:

    1. Ruiheng Li & Yi Di & Qiankun Zuo & Hao Tian & Lu Gan, 2023. "Enhanced Whale Optimization Algorithm for Improved Transient Electromagnetic Inversion in the Presence of Induced Polarization Effects," Mathematics, MDPI, vol. 11(19), pages 1-20, October.
    2. Chia-Hung Wang & Shumeng Chen & Qigen Zhao & Yifan Suo, 2023. "An Efficient End-to-End Obstacle Avoidance Path Planning Algorithm for Intelligent Vehicles Based on Improved Whale Optimization Algorithm," Mathematics, MDPI, vol. 11(8), pages 1-31, April.

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