A Review of Benchmark and Test Functions for Global Optimization Algorithms and Metaheuristics
Sign Up to like & getrecommendations! Published in 2025 at "Wiley Interdisciplinary Reviews: Computational Statistics"
DOI: 10.1002/wics.70028
Abstract: Benchmarking in optimization is a critical step in evaluating the performance, robustness, and scalability of machine learning algorithms and metaheuristics. While trends in benchmark design continue to evolve, synthetic functions remain vital for fundamental stress… read more here.
Keywords: review benchmark; benchmark test; test; algorithms metaheuristics ... See more keywords
Gaussian process as complement to test functions for surrogate modeling
Sign Up to like & getrecommendations! Published in 2020 at "Structural and Multidisciplinary Optimization"
DOI: 10.1007/s00158-019-02441-1
Abstract: It is common for papers on surrogate fitting to select test functions for testing algorithms. This raises the issue of how well the algorithms generalize to other functions. This editorial proposes as a possible complement… read more here.
Keywords: test; test functions; generate random; decay rates ... See more keywords
Island artificial bee colony for global optimization
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DOI: 10.1007/s00500-020-04760-8
Abstract: This paper proposes an efficient version of artificial bee colony (ABC) algorithm based on the island model concepts. The new version is called the island artificial bee colony ( i ABC) algorithm. It uses the… read more here.
Keywords: bee colony; test functions; abc; island ... See more keywords
An enhanced particle swarm optimization algorithm to solve probabilistic load flow problem in a micro-grid
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DOI: 10.1007/s10489-020-01872-4
Abstract: This paper presents an Enhanced PSO (EPSO) method to address the weaknesses associated with the traditional PSO such as high sensitivity to the initial conditions, fast convergence, decline of solutions’ variety, and trapping in the… read more here.
Keywords: proposed epso; optimization; load flow; probabilistic load ... See more keywords
DPG Method with Optimal Test Functions for a Fractional Advection Diffusion Equation
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DOI: 10.1007/s10915-017-0369-z
Abstract: We develop an ultra-weak variational formulation of a fractional advection diffusion problem in one space dimension and prove its well-posedness. Based on this formulation, we define a DPG approximation with optimal test functions and show… read more here.
Keywords: optimal test; advection diffusion; fractional advection; test functions ... See more keywords
Solving singular convection–diffusion equation by exponentially-fitted trial functions and adjoint Trefftz test functions
Sign Up to like & getrecommendations! Published in 2018 at "Journal of King Saud University - Science"
DOI: 10.1016/j.jksus.2016.09.011
Abstract: Abstract The paper develops a weak-form integral equation method (WFIEM) for solving the singularly perturbed convection–diffusion equation, which is too ill-posed to find the singular solution using conventional methods. We use Green’s second identity to… read more here.
Keywords: trefftz test; convection diffusion; test functions; diffusion equation ... See more keywords
Development of objective test functions for modeling and sensitivity analysis of the mechanical behaviour of aluminum-agro-marine waste composites
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DOI: 10.1088/2053-1591/ad99a5
Abstract: Aluminum-based composites reinforced with agro-marine waste materials present an eco-friendly, cost-effective solution for industries needing lightweight and durable materials. This study develops and evaluates the mechanical properties of aluminum (AA6061) composites reinforced with plantain stem… read more here.
Keywords: objective test; agro marine; marine waste; test functions ... See more keywords
Designing Benchmark Generator for Dynamic Optimization Algorithm
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DOI: 10.1109/access.2021.3138141
Abstract: Real-world problems always change over time. In the past two decades, many researchers have become increasingly interested in studying evolutionary optimization algorithms for dynamic problems owing to their great importance in real-world applications. Currently, there… read more here.
Keywords: benchmark generator; test; generator; optimization ... See more keywords
A Reinforced Whale Optimization Algorithm for Solving Mathematical Optimization Problems
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DOI: 10.3390/biomimetics9090576
Abstract: The whale optimization algorithm has several advantages, such as simple operation, few control parameters, and a strong ability to jump out of the local optimum, and has been used to solve various practical optimization problems.… read more here.
Keywords: optimization problems; whale optimization; test; test functions ... See more keywords
Nonlinear Almost Relational Contractions via a Triplet of Test Functions and Applications to Second-Order Ordinary Differential Equations
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DOI: 10.3390/sym17111798
Abstract: After the introduction of the relation-theoretic contraction principle, the branch of metric fixed-point theory has attracted much attention in this direction, and various fixed-point results have been proven in the framework of relational metric space… read more here.
Keywords: differential equations; ordinary differential; test functions; order ordinary ... See more keywords