Open research questions in Metaheuristic Optimization Algorithms Research
76 gap statements mined from Metaheuristic Optimization Algorithms Research papers in our 4.5M-paper local library, which holds 1,242 papers on the topic — drawn mostly from each paper's own stated research gap, future-work, challenge and limitation notes, and its abstract. The ones listed below are a selection still marked open; each names the study that raised it, with a DOI link where the paper has one.
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What the literature leaves open
The challenge is to solve the cost- and time-limited travelling salesman problem in a fuzzy environment. The challenge is to develop an algorithm that satisfies the cost and time constraints. The challenge is to minimize the total cost of travel.
Solving a cost- and time-limited travelling salesman problem by an ant colony-based algorithm in a random type-2 fuzzy environment · 2026 · DOIFuture research can focus on testing the algorithm on larger datasets. Future research can focus on comparing the algorithm with other existing algorithms. Future research can focus on applying the algorithm to various fields.
Solving a cost- and time-limited travelling salesman problem by an ant colony-based algorithm in a random type-2 fuzzy environment · 2026 · DOISeveral directions remain for future research. First, the current fixed memory capacity (L) can be further extended to an adaptive memory-size strategy in which the memory capacity is dynamically adjusted according to population diversity, recent improvement frequency, or the memory utilization rate. Second, more dynamic recall policies can be designed.
State-Adaptive Knowledge Recall Particle Swarm Optimization for Engineering Optimization · 2026 · DOISince this study was limited to analysing the behaviour of SBPSO, the primary unresolved challenge is the development of an improved exploration mechanism that can facilitate swarm convergence.
Further research is needed to tackle numerous complex issues with multi-model construction, multi-objective optimization, multi-dimensionality, multi-factors, large-scale integration, high comprehensiveness, uncertainty and dynamics, and high computational complexity. The CGCRA can be explored to address more real-world engineering designs.
A Modified Complex-Valued Encoding Greater Cane Rat Algorithm for Global Optimization and Constrained Engineering Applications · 2026 · DOITraditional methods lack a theoretical guarantee and prior knowledge for global optimization. Traditional methods are easy to trap in local optimality and have poor scalability and repeatability.
A Modified Complex-Valued Encoding Greater Cane Rat Algorithm for Global Optimization and Constrained Engineering Applications · 2026 · DOIThe classical Zebra Optimization Algorithm (ZOA) has limitations, such as getting stuck in local optima and high time complexity. There is a need for a chaotic-based version of ZOA to overcome these limitations.
A chaotic zebra optimization algorithm for numerical and constrained engineering applications: a case study on MLP classification challenges · 2026 · DOIThe standard GWO has rigid linear control parameters and is susceptible to elite stagnation, limiting its scalability. The proposed AOGWO addresses this gap by integrating a hybrid opposition-based learning initialization framework and an adaptive cosine control strategy.
The need for effective balance between exploration and exploitation. The limitations of traditional initialization methods.
Comparative Analysis of Population Initialization Strategies in Metaheuristic Optimization · 2026 · DOIThe paper does not provide a comprehensive comparison with other optimization techniques. The experiments are limited to benchmark problems with binary and real-valued encodings.
Future research can focus on extending the approach to more complex optimization problems. The algorithm can be improved by incorporating additional operators or modifying the existing ones.
Traditional optimization methods have limitations in handling complex problems. Particle swarm optimization frequently encounters difficulties with poor convergence speed and inadequate convergence accuracy.
The lack of comprehensive reviews of the Snake Optimizer and its variants. The need for further development and diversification of the Snake Optimizer across theoretical and applied research domains.
A Comprehensive Review of the Snake Optimizer: Advancements, Variants, and Applications · 2026 · DOIThere is a need to develop and improve a wide range of optimization algorithms. The paper identifies the need to classify optimization algorithms according to their speed and strength.
An Examination into Optimization Methodologies: Their Applications and Comparative Analysis · 2026 · DOIIt is important to recognize some limitations of this study. The method mitigates the key limitations of EM including premature convergence, insufficient exploitation of areas in proximity to local optima.
An Improved Electromagnetism-like Algorithm for Gaussian Process Hyperparameter Optimization in Remaining Useful Life Prediction of Electrolytic Capacitors · 2026 · DOIBased on the previous discussion, there are a lot of ideas challenges such as the comprehensive survey is conducted carefully, some limitations cannot be avoided to increase our survey transparency.
Future work will focus on adaptive parameter control, extension to many-objective optimization, and transient noise modeling. Moreover, the optimization model is based on quasi-steady-state assumptions, and its applicability to transient operating conditions remains to be verified.
Multi-objective forest succession planning algorithm: a new metaheuristic algorithm for multi-objective operation optimization of marine power plants · 2026 · DOITraditional genetic algorithms have limitations in sparse array optimization. There is a need for an improved algorithm that can effectively suppress the peak sidelobe ratio.
Future work will investigate adaptive Bell-shaped transfer functions that can dynamically adjust the transition region according to the sparsity and constraint level of the problem.
Binary Dhole Optimization Algorithm with bell-shaped transfer function for feature selection · 2026 · DOIThere is potential for improvement in search precision and convergence speed of MOA. The paper aims to address this gap.
Performance of multi-strategy optimized mayfly optimization algorithm for location selection of university reimbursement form submission terminals · 2026 · DOIFuture research will focus on solving these challenges by exploring further integration, using open-source tools, and adapting across diverse domains to expand the use of MH-ML hybrid algorithms.
Synergistic integration of metaheuristics and machine learning: latest advances and emerging trends · 2025 · DOIThis paper presented the Booby Optimization Algorithm (BOA), a state-adaptive population-based metaheuristic inspired by avian foraging behavior but formulated through rigorous ARTICLE…
A state-adaptive booby optimization algorithm for engineering design and medical data applications · 2026 · DOIFurther evaluation of CZOA using other benchmark functions and applications. Comparison of CZOA with other metaheuristics and optimization algorithms. Investigation of the effects of different chaotic maps on the performance of CZOA.
A chaotic zebra optimization algorithm for numerical and constrained engineering applications: a case study on MLP classification challenges · 2026 · DOIInvestigation of intelligent and adaptive initialization techniques. Development of new initialization methods that balance exploration and exploitation. Application of advanced initialization techniques to various problem domains.
Comparative Analysis of Population Initialization Strategies in Metaheuristic Optimization · 2026 · DOIFuture research will focus on optimizing the algorithm structure to reduce computational overhead, extending its applicability to dynamic and discrete-variable scenarios, 1 3Cluster Computing (2026)…
A two-stage differential evolution algorithm for collaborative squirrel exploration and its engineering application · 2026 · DOI
Most-cited papers in Metaheuristic Optimization Algorithms Research
- The Arithmetic Optimization Algorithm · Computer Methods in Applied Mechanics and Engineering · 2021 · 2,820 citations
- Aquila Optimizer: A novel meta-heuristic optimization algorithm · Computers & Industrial Engineering · 2021 · 2,140 citations
- Genetic algorithms: a survey · Computer · 1994 · 1,550 citations
- African vultures optimization algorithm: A new nature-inspired metaheuristic algorithm for global optimization problems · Computers & Industrial Engineering · 2021 · 1,390 citations
- Particle Swarm Optimization: A Comprehensive Survey · IEEE Access · 2022 · 1,380 citations
- Reptile Search Algorithm (RSA): A nature-inspired meta-heuristic optimizer · Expert Systems with Applications · 2021 · 1,380 citations
- Honey Badger Algorithm: New metaheuristic algorithm for solving optimization problems · Mathematics and Computers in Simulation · 2021 · 1,280 citations
- Simulated Annealing · Statistical Science · 1993 · 1,274 citations
- Global optimization of statistical functions with simulated annealing · Journal of Econometrics · 1994 · 1,173 citations
- RUN beyond the metaphor: An efficient optimization algorithm based on Runge Kutta method · Expert Systems with Applications · 2021 · 1,093 citations
Most recent work
- Glider snake optimizer (GSO): a nature-inspired metaheuristic algorithm for global and engineering optimization problems · Artificial Intelligence Review · 2026
- A modified starfish optimization algorithm (M-SFOA) for global optimization problems and its application to heart disease risk prediction · Expert Systems with Applications · 2026
- Gray langurs optimizer: a multi-group bio-inspired optimization algorithm · Artificial Intelligence Review · 2026
- Newton downhill optimizer with application to engineering optimization and breast cancer feature selection · Biomedical Signal Processing and Control · 2026
- Farthest better or nearest worse optimizer: a novel metaheuristic algorithm · Artificial Intelligence Review · 2026
- An adaptive differential evolution with deeply informed mutation strategy and historical information for numerical optimization · Information Sciences · 2026
- Fourier transform optimizer: A novel physics-inspired metaheuristic algorithm for optimization problems · Knowledge-Based Systems · 2026
- Stochastic social learning optimization: Combining social learning and bucket theory for efficient optimization · Knowledge-Based Systems · 2026
- A star-nosed mole optimizer (SNMO): A novel optimization algorithm · Computers & Electrical Engineering · 2026
- Black-box optimization using factorization and Ising machines · Applied Physics Reviews · 2026
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