<p>Expensive function evaluations and the trade-off between convergence and diversity remain critical challenges in multiobjective optimization. This paper presents ST-MTO, a surrogate-assisted evolutionary framework that integrates multitasking optimization with dual-surrogate modeling. Two surrogate models targeting convergence and diversity metrics are optimized concurrently as related yet independent tasks. A source-target task transfer mechanism and adaptive knowledge transfer intensity guide the search while effectively avoiding negative transfer, and a reference vector-based pre-screening strategy preserves population diversity and enhances selection efficiency. Experimental results demonstrate that ST-MTO efficiently identifies well-distributed Pareto-optimal solutions in multi-line distance minimization and flight controller optimization, achieving a balanced trade-off among tracking accuracy, control energy, and signal smoothness. Compared with existing surrogate-assisted and multitasking evolutionary algorithms, ST-MTO demonstrates strong convergence performance, competitive diversity, and improved computational efficiency, highlighting its robustness and practical value in engineering design.</p>

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Surrogate-assisted multitask evolutionary optimization with adaptive knowledge transfer

  • Le Wang,
  • Xuefeng Yan

摘要

Expensive function evaluations and the trade-off between convergence and diversity remain critical challenges in multiobjective optimization. This paper presents ST-MTO, a surrogate-assisted evolutionary framework that integrates multitasking optimization with dual-surrogate modeling. Two surrogate models targeting convergence and diversity metrics are optimized concurrently as related yet independent tasks. A source-target task transfer mechanism and adaptive knowledge transfer intensity guide the search while effectively avoiding negative transfer, and a reference vector-based pre-screening strategy preserves population diversity and enhances selection efficiency. Experimental results demonstrate that ST-MTO efficiently identifies well-distributed Pareto-optimal solutions in multi-line distance minimization and flight controller optimization, achieving a balanced trade-off among tracking accuracy, control energy, and signal smoothness. Compared with existing surrogate-assisted and multitasking evolutionary algorithms, ST-MTO demonstrates strong convergence performance, competitive diversity, and improved computational efficiency, highlighting its robustness and practical value in engineering design.