<p>Benchmark functions play a crucial role in evaluating optimization algorithms by providing standardized test cases. This study systematically categorizes benchmark functions based on their mathematical properties, including modality, separability, convexity, and scalability. By analyzing these characteristics, we aim to enhance the understanding of function landscapes and their implications for optimization. The study also highlights constrained and unconstrained benchmark functions, offering insights into their real-world applications. Our findings provide researchers and practitioners with a structured approach to selecting benchmark functions for algorithm evaluation.</p>

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Benchmark Functions: Properties and Features

  • Saleh Masoud Abdallah Altbawi,
  • Saifulnizam Bin Abdul Khalid,
  • Rayan Hamza Alsisi,
  • A. I. Alhammi

摘要

Benchmark functions play a crucial role in evaluating optimization algorithms by providing standardized test cases. This study systematically categorizes benchmark functions based on their mathematical properties, including modality, separability, convexity, and scalability. By analyzing these characteristics, we aim to enhance the understanding of function landscapes and their implications for optimization. The study also highlights constrained and unconstrained benchmark functions, offering insights into their real-world applications. Our findings provide researchers and practitioners with a structured approach to selecting benchmark functions for algorithm evaluation.