Mathematics (Dec 2021)

A Bio-Inspired Method for Mathematical Optimization Inspired by Arachnida Salticidade

  • Hernán Peraza-Vázquez,
  • Adrián Peña-Delgado,
  • Prakash Ranjan,
  • Chetan Barde,
  • Arvind Choubey,
  • Ana Beatriz Morales-Cepeda

DOI
https://doi.org/10.3390/math10010102
Journal volume & issue
Vol. 10, no. 1
p. 102

Abstract

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This paper proposes a new meta-heuristic called Jumping Spider Optimization Algorithm (JSOA), inspired by Arachnida Salticidae hunting habits. The proposed algorithm mimics the behavior of spiders in nature and mathematically models its hunting strategies: search, persecution, and jumping skills to get the prey. These strategies provide a fine balance between exploitation and exploration over the solution search space and solve global optimization problems. JSOA is tested with 20 well-known testbench mathematical problems taken from the literature. Further studies include the tuning of a Proportional-Integral-Derivative (PID) controller, the Selective harmonic elimination problem, and a few real-world single objective bound-constrained numerical optimization problems taken from CEC 2020. Additionally, the JSOA’s performance is tested against several well-known bio-inspired algorithms taken from the literature. The statistical results show that the proposed algorithm outperforms recent literature algorithms and is capable to solve challenging real-world problems with unknown search space.

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