Table 1 Summary of comparative algorithms used in this study.

From: A hybrid Harris Hawks Optimization with Support Vector Regression for air quality forecasting

Algorithm

Principle

Strengths and Limitations

HHO

Inspired by the predatory behavior of hawks using Levy flight and soft-hard besiege strategies

Strong exploration capabilities but requires careful parameter tuning to balance search efficiency

GWO

Mimics the social hierarchy and hunting strategies of grey wolves

Simple to implement, with effective convergence, but prone to stagnation in complex search spaces

WOA

Based on the bubble-net hunting behavior of humpback whales

Excels in exploration, but lacks diversity in the exploitation phase, reducing solution refinement

SSA

Models the swarming behavior of salps in the ocean

Efficient for smaller-scale problems, but convergence becomes slower for high-dimensional or complex functions

BMO

Simulates the mating behavior of barnacles

High diversity and global search ability but computationally expensive, particularly for large-scale problems

HGSO

Derives from Henry’s law and gas solubility in liquids

Demonstrates strong convergence properties, but performance may depend on initial population quality

MRFO

Inspired by the foraging strategies of manta rays

Effectively balances exploration and exploitation, making it robust across various optimization problems

EO

Physics-based model utilizing dynamic mass balance and equilibrium states

Combines robust exploration and exploitation, highly competitive in benchmark functions, but sensitive to parameter tuning and slightly less effective in composite functions