Table 1 Types of metaheuristic algorithms.

1. Simulated annealing (SA)¹⁸

1. Genetic algorithm (GA)¹⁹

2. Tabu search (TS)²⁰

2. Particle swarm optimization (PSO)⁴

3. Harmony search (HS)²¹

3. Evolutionary strategy (ES)²²

4. Covariance matrix adaptation of evolution strategy (CMAES)²³

4. Evolutionary programming (EP)²⁴

5. Big bang-big crunch (BBBC)²⁵

5. Ant colony optimization (ACO)²⁶

6. Biogeography-based optimization (BBO)²⁷

6. Artificial bee colony (ABC)⁵

7. Gravitational search algorithm (GSA)²⁸

7. Hunger games search (HGS)²⁹

8. Teaching learning-based optimization (TLBO)¹⁰

8. Mountain gazelle optimizer (MGO)³⁰

9. Black hole algorithm (BHA)³¹

9. Differential evolution (DE)⁶

10. Linear successful history-based adaptive de variants (LSHADE)³²

10. Cuckoo search (CS)⁷

11. Sine cosine algorithm (SCA)³³

11. Genetic programming (GP)³⁴

12. Multi-verse optimizer (MVO)³⁵

12. Grey wolf optimizer (GWO)⁸

13. Farmland fertility algorithm (FFA)¹¹

13. Moth-flame optimization (MFO)³⁶

14. Equilibrium optimizer (EO)³⁷

14. Ant lion optimizer (ALO)³⁸

15. Young double-slit experiment optimizer(YDSE)³⁹

15. Whale optimization algorithm (WOA)⁹,

16. Cosine swarm algorithm (CSA)⁴⁰

16. Salp swarm algorithm (SSA)¹²

17. Aquila optimizer (AO)⁴¹

18. African vulture optimization (AVO)¹⁶,

19.Modified whale optimization algorithm (MWOA)⁴²,

20. White shark optimizer (WSO)⁴³

21. American zebra optimization algorithm (AZOA)⁴⁴