Table of metaheuristics

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This is a chronological table of metaheuristic algorithms that only contains fundamental algorithms. Hybrid algorithms and multi-objective algorithms are not listed in the table below.

Categories

  • Trajectory-based
  • Nature-inspired
    • Evolutionary-based
    • Swarm-based
    • Bio-inspired
    • Physics/Chemistry-based
    • Human-based
    • Plant-based
  • Art-inspired
  • Ancient-inspired

The table

Name Abbreviation Main category Subcategory Year published Ref.
Simulated Annealing SA Trajectory-based - 1983 [1]
Tabu Search TS Trajectory-based - 1989 [2]
Genetic Algorithm GA Evolutionary-based - 1992 [3]
Evolutionary Algorithm EA Evolutionary-based - 1994
Cultural Algorithm CA 1994 [4]
Particle Swarm Optimization PSO Nature-inspired Swarm-based 1995 [5]
Differential Evaluation DE Evolutionary-based - 1997 [6]
Local Search LS 1997
Variable neighborhood search VNS Trajectory-based - 1997 [7]
Guided Local Search GLS Trajectory-based - 1998 [8]
Clonal Selection Algorithm CSA Evolutionary-based - 2000 [9]
Harmony Search HS Evolutionary-based - 2001 [10]
Memetic Algorithm MA Evolutionary-based - 2002
Iterative Local Search ILS Trajectory-based - 2003 [11]
Artificial Bee Colony ABC Nature-inspired Bio-inspired 2005 [12]
Ant Colony Optimization ACO Nature-inspired Bio-inspired 2006 [13]
Glowworm Swarm Optimization GSO Nature-inspired Swarm-based 2006 [14]
Shuffled Frog Leaping Algorithm SFLA Nature-inspired Bio-inspired 2006 [15]
Invasive Weed Optimization IWO Nature-inspired Plant-based 2006 [16]
Seeker Optimization Algorithm SOA Nature-inspired Human-based 2006
River Formation Dynamics RFD Nature-inspired Geology-inspired 2007 [17]
Imperialistic Competitive Algorithm ICA Nature-inspired Human-based 2007 [18]
Central Force Optimization CFO 2007 [19]
Biogeography Based Optimization BBO Nature-inspired Human-based 2008 [20]
Firefly Algorithm FA Nature-inspired Bio-inspired 2008
Intelligent Water Drops IWD Nature-inspired Swarm-based 2008 [21]
Monkey Algorithm MA Nature-inspired Bio-inspired 2008 [22]
Cuckoo Search CS Nature-inspired Bio-inspired 2009 [23]
Group Search Optimizer GSO Nature-inspired Swarm-based 2009 [24]
Key Cutting Algorithm KCA 2009 [25]
Hunting Search HS Nature-inspired Swarm-based 2009 [26]
Chemical Reaction Optimization CRO Nature-inspired Physics/Chemistry-based 2009 [27]
Bat Algorithm BA Nature-inspired Bio-inspired 2010 [28]
Charged System Search CSS Nature-inspired Physics/Chemistry-based 2010 [29]
Eagle Strategy ES Nature-inspired 2010
Fireworks Algorithm FWA 2010 [30]
Cuckoo Optimization Algorithm COA Nature-inspired Bio-inspired 2011 [31]
Stochastic Diffusion Search SDS 2011
Teaching-Learning-Based Optimization TLBO Nature-inspired Human-based 2011 [32]
Bacterial Colony Optimization BCO 2012 [33]
Fruit Fly Optimization FFO 2012
Krill Herd Algorithm KHA Nature-inspired Bio-inspired 2012 [34]
Migrating Birds Optimization MBO Nature-inspired Swarm-based 2012 [35]
Water Cycle Algorithm WCA 2012
Backtracking Search Algorithm BSA Evolutionary-based - 2013 [36]
Black Hole Algorithm BH Nature-inspired Physics/Chemistry-based 2013 [37]
Dolphin Echolocation DE Nature-inspired Bio-inspired 2013 [38]
Animal Migration Optimization AMO Nature-inspired Swarm-based 2013 [39]
Keshtel Algorithm KA Nature-inspired 2014 [40]
SDA Optimization Algorithm SDA Nature-inspired Bio-inspired 2014 [41]
Artificial Root Foraging Algorithm ARFA Nature-inspired Plant-based 2014 [42]
Bumble Bees Mating Optimization BBMO 2014
Chicken Swarm Optimization CSO Nature-inspired Bio-inspired 2014 [43]
Colliding Bodies Optimization CBO 2014 [44]
Coral Reefs Optimization Algorithm CROA 2014
Flower Pollination Algorithm FPA Nature-inspired Plant-based 2014 [45]
Radial Movement Optimization RMO Nature-inspired Swarm-based 2014 [46]
Spider Monkey Optimization SMO Nature-inspired Bio-inspired 2014 [47]
Soccer League Competition SLC Nature-inspired Human-based 2014 [48]
Artificial Algae Algorithm AAA 2015 [49]
Adaptive Dimensional Search ADS 2015
Alienated Ant Algorithm AAA 2015
Artificial Fish Swarm Algorithm AFSA Nature-inspired 2015
Bottlenose Dolphin Optimization BDO Nature-inspired 2015 [50]
Cricket Algorithm CA 2015 [51]
Elephant Search Algorithm ESA Nature-inspired Bio-inspired 2015 [52]
Grey Wolf Optimizer GWO Nature-inspired Bio-inspired 2015 [53]
Jaguar Algorithm JA Nature-inspired Bio-inspired 2015 [54]
Locust Swarm Algorithm LSA Nature-inspired Swarm-based 2015 [55]
Moth-Flame Optimization MFO Nature-inspired Bio-inspired 2015 [56]
Stochastic Fractal Search SFF Evolutionary-based - 2015 [57]
Vortex Search Algorithm VSA Nature-inspired Physics/Chemistry-based 2015 [58]
Water Wave Optimization WWA Nature-inspired Physics/Chemistry-based 2015 [59]
Ant Lion Optimizer ALO Nature-inspired Bio-inspired 2015 [60]
African Buffalo Optimization ABO Nature-inspired Swarm-based 2015 [61]
Lightning Search Algorithm LSA Nature-inspired Physics/Chemistry-based 2015 [62]
Across Neighborhood Search ANS Evolutionary-based - 2016 [63]
Crow Search Algorithm CSA Nature-inspired Bio-inspired 2016 [64]
Electromagnetic Field Optimization EFO Nature-inspired Physics/Chemistry-based 2016 [65]
Joint Operations Algorithm JOA Nature-inspired Swarm-based 2016 [66]
Lion Optimization Algorithm LOA Nature-inspired Bio-inspired 2016 [67]
Sine Cosine Algorithm SCA Nature-inspired Physics/Chemistry-based 2016 [68]
Virus Colony Search VCS Nature-inspired Bio-inspired 2016 [69]
Whale Optimization Algorithm WOA Nature-inspired Bio-inspired 2016 [70]
Red Deer Algorithm RDA Nature-inspired Bio-inspired 2016 [71]
Phototropic Optimization Algorithm POA Nature-inspired Plant-based 2018 [72]
Coyote Optimization Algorithm COA Nature-inspired Swarm-based 2018 [73]
Owl Search Algorithm OSA Nature-inspired Bio-inspired 2018 [74]
Squirrel Search Algorithm SSA Nature-inspired Bio-inspired 2018 [75]
Social Engineering Optimizer SEO Nature-inspired Human-based 2018 [76]
Emperor Penguin Optimizer EPO Nature-inspired Bio-inspired 2018 [77]
Socio Evolution and Learning Optimization SELO Nature-inspired Human-based 2018 [78]
Future Search Algorithm FSA Nature-inspired Human-based 2019 [79]
Emperor Penguins Colony EPC Nature-inspired Swarm-based 2019 [80]
Thermal Exchange Optimization TEO Nature-inspired Physics/Chemistry-based 2019 [81]
Harris Hawks Optimization HHO Nature-inspired Bio-inspired 2019 [82]
Political Optimizer PO Nature-inspired Human-based 2020 [83]
Heap-Based Optimizer HBO Nature-inspired Human-based 2020 [84]
Color Harmony Algorithm CHA Art-inspired Color-based 2020 [85]
Stochastic Paint Optimizer SPO Art-inspired Color-based 2020 [86]
Giza Pyramids Construction GPC Ancient-inspired - 2020 [87]
Mayfly Optimization Algorithm MOA Nature-inspired Bio-inspired 2020 [88]
Fire Hawk Optimizer FHO Nature-inspired Bio-inspired 2022 [89]
Flying Fox Optimization Algorithm FFO Nature-inspired Bio-inspired 2023 [90]

References

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  2. ↑ Glover, Fred (1989-08-01). "Tabu Search—Part I". ORSA Journal on Computing 1 (3): 190–206. doi:10.1287/ijoc.1.3.190. ISSN 0899-1499. https://pubsonline.informs.org/doi/abs/10.1287/ijoc.1.3.190. 
  3. ↑ Holland, John H. (1992). Adaptation in natural and artificial systems : an introductory analysis with applications to biology, control, and artificial intelligence (1st MIT Press ed.). Cambridge, Mass.: MIT Press. ISBN 0-585-03844-9. OCLC 42854623. https://www.worldcat.org/oclc/42854623. 
  4. ↑ Sebald, Anthony V.; Fogel, Lawrence J. (1994-09-01). "Evolutionary Programming". Proceedings of the Third Annual Conference. WORLD SCIENTIFIC. pp. 1–386. doi:10.1142/9789814534116. ISBN 978-981-02-1810-2. 
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  6. ↑ Storn, Rainer; Price, Kenneth (1997-12-01). "Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces" (in en). Journal of Global Optimization 11 (4): 341–359. doi:10.1023/A:1008202821328. ISSN 1573-2916. Bibcode: 1997JGOpt..11..341S. 
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  8. ↑ Balas, Egon; Vazacopoulos, Alkis (1998-02-01). "Guided Local Search with Shifting Bottleneck for Job Shop Scheduling". Management Science 44 (2): 262–275. doi:10.1287/mnsc.44.2.262. ISSN 0025-1909. https://pubsonline.informs.org/doi/abs/10.1287/mnsc.44.2.262. 
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  19. ↑ Formato, Richard (2007). "Central Force Optimization: a New Metaheuristic with Applications in Applied Electromagnetics" (in English). Progress in Electromagnetics Research 77: 425–491. doi:10.2528/PIER07082403. ISSN 1070-4698. http://www.jpier.org/PIER/pier.php?paper=07082403. 
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  59. ↑ Zheng, Yu-Jun (2015-03-01). "Water wave optimization: A new nature-inspired metaheuristic" (in en). Computers & Operations Research 55: 1–11. doi:10.1016/j.cor.2014.10.008. ISSN 0305-0548. 
  60. ↑ Mirjalili, Seyedali (2015-05-01). "The Ant Lion Optimizer" (in en). Advances in Engineering Software 83: 80–98. doi:10.1016/j.advengsoft.2015.01.010. ISSN 0965-9978. 
  61. ↑ Odili, Julius Beneoluchi; Kahar, Mohd Nizam Mohmad; Anwar, Shahid (2015-01-01). "African Buffalo Optimization: A Swarm-Intelligence Technique" (in en). Procedia Computer Science. 2015 IEEE International Symposium on Robotics and Intelligent Sensors (IEEE IRIS2015) 76: 443–448. doi:10.1016/j.procs.2015.12.291. ISSN 1877-0509. 
  62. ↑ Shareef, Hussain; Ibrahim, Ahmad Asrul; Mutlag, Ammar Hussein (2015-11-01). "Lightning search algorithm" (in en). Applied Soft Computing 36: 315–333. doi:10.1016/j.asoc.2015.07.028. ISSN 1568-4946. 
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  66. ↑ Sun, Gaoji; Zhao, Ruiqing; Lan, Yanfei (2016-01-01). "Joint operations algorithm for large-scale global optimization" (in en). Applied Soft Computing 38: 1025–1039. doi:10.1016/j.asoc.2015.10.047. ISSN 1568-4946. 
  67. ↑ Yazdani, Maziar; Jolai, Fariborz (2016-01-01). "Lion Optimization Algorithm (LOA): A nature-inspired metaheuristic algorithm" (in en). Journal of Computational Design and Engineering 3 (1): 24–36. doi:10.1016/j.jcde.2015.06.003. 
  68. ↑ Mirjalili, Seyedali (2016-03-15). "SCA: A Sine Cosine Algorithm for solving optimization problems" (in en). Knowledge-Based Systems 96: 120–133. doi:10.1016/j.knosys.2015.12.022. ISSN 0950-7051. 
  69. ↑ Li, Mu Dong; Zhao, Hui; Weng, Xing Wei; Han, Tong (2016-02-01). "A novel nature-inspired algorithm for optimization: Virus colony search" (in en). Advances in Engineering Software 92: 65–88. doi:10.1016/j.advengsoft.2015.11.004. ISSN 0965-9978. 
  70. ↑ Mirjalili, Seyedali; Lewis, Andrew (2016-05-01). "The Whale Optimization Algorithm" (in en). Advances in Engineering Software 95: 51–67. doi:10.1016/j.advengsoft.2016.01.008. ISSN 0965-9978. 
  71. ↑ Fathollahi-Fard, Amir Mohammad; Hajiaghaei-Keshteli, Mostafa; Tavakkoli-Moghaddam, Reza (2020-03-10). "Red deer algorithm (RDA): a new nature-inspired meta-heuristic" (in en). Soft Computing 24 (19): 14637–14665. doi:10.1007/s00500-020-04812-z. ISSN 1433-7479. 
  72. ↑ Vinod, Chandra S S; Anand, Hareendran S (2021). "Phototropic algorithm for global optimisation problems" (in en). Applied Intelligence 51 (8): 5965–5977. doi:10.1007/s10489-020-02105-4. https://link.springer.com/article/10.1007/s10489-020-02105-4. 
  73. ↑ Pierezan, Juliano; Dos Santos Coelho, Leandro (July 2018). "Coyote Optimization Algorithm: A New Metaheuristic for Global Optimization Problems". 2018 IEEE Congress on Evolutionary Computation (CEC). pp. 1–8. doi:10.1109/CEC.2018.8477769. ISBN 978-1-5090-6017-7. https://ieeexplore.ieee.org/document/8477769. 
  74. ↑ Jain, Mohit; Maurya, Shubham; Rani, Asha; Singh, Vijander (2018-03-22). Thampi, Sabu M.; El-Alfy, El-Sayed M.; Mitra, Sushmita et al.. eds. "Owl search algorithm: A novel nature-inspired heuristic paradigm for global optimization". Journal of Intelligent & Fuzzy Systems 34 (3): 1573–1582. doi:10.3233/JIFS-169452. https://www.medra.org/servlet/aliasResolver?alias=iospress&doi=10.3233/JIFS-169452. 
  75. ↑ Jain, Mohit; Singh, Vijander; Rani, Asha (2019-02-01). "A novel nature-inspired algorithm for optimization: Squirrel search algorithm" (in en). Swarm and Evolutionary Computation 44: 148–175. doi:10.1016/j.swevo.2018.02.013. ISSN 2210-6502. 
  76. ↑ Fathollahi-Fard, Amir Mohammad; Hajiaghaei-Keshteli, Mostafa; Tavakkoli-Moghaddam, Reza (2018-06-01). "The Social Engineering Optimizer (SEO)" (in en). Engineering Applications of Artificial Intelligence 72: 267–293. doi:10.1016/j.engappai.2018.04.009. ISSN 0952-1976. 
  77. ↑ Dhiman, Gaurav; Kumar, Vijay (2018-06-15). "Emperor penguin optimizer: a bio-inspired algorithm for engineering problems". Knowledge-Based Systems 159: 20–50. doi:10.1016/j.knosys.2018.06.001. 
  78. ↑ Kumar, Meeta; Kulkarni, Anand J.; Satapathy, Suresh Chandra (2018-04-01). "Socio evolution & learning optimization algorithm: A socio-inspired optimization methodology" (in en). Future Generation Computer Systems 81: 252–272. doi:10.1016/j.future.2017.10.052. ISSN 0167-739X. https://www.sciencedirect.com/science/article/pii/S0167739X17317259. 
  79. ↑ Elsisi, M. (2019-03-01). "Future search algorithm for optimization" (in en). Evolutionary Intelligence 12 (1): 21–31. doi:10.1007/s12065-018-0172-2. ISSN 1864-5917. 
  80. ↑ Harifi, Sasan; Khalilian, Madjid; Mohammadzadeh, Javad; Ebrahimnejad, Sadoullah (2019-06-01). "Emperor Penguins Colony: a new metaheuristic algorithm for optimization" (in en). Evolutionary Intelligence 12 (2): 211–226. doi:10.1007/s12065-019-00212-x. ISSN 1864-5917. 
  81. ↑ Kaveh, A.; Dadras, A. (2017-08-01). "A novel meta-heuristic optimization algorithm: Thermal exchange optimization" (in en). Advances in Engineering Software 110: 69–84. doi:10.1016/j.advengsoft.2017.03.014. ISSN 0965-9978. 
  82. ↑ Heidari, Ali Asghar; Mirjalili, Seyedali; Faris, Hossam; Aljarah, Ibrahim; Mafarja, Majdi; Chen, Huiling (2019-08-01). "Harris hawks optimization: Algorithm and applications" (in en). Future Generation Computer Systems 97: 849–872. doi:10.1016/j.future.2019.02.028. ISSN 0167-739X. 
  83. ↑ Askari, Qamar; Younas, Irfan; Saeed, Mehreen (2020-05-11). "Political Optimizer: A novel socio-inspired meta-heuristic for global optimization" (in en). Knowledge-Based Systems 195: 105709. doi:10.1016/j.knosys.2020.105709. ISSN 0950-7051. 
  84. ↑ Askari, Qamar; Saeed, Mehreen; Younas, Irfan (2020-07-18). "Heap-based optimizer inspired by corporate rank hierarchy for global optimization" (in en). Expert Systems with Applications 161: 113702. doi:10.1016/j.eswa.2020.113702. ISSN 0957-4174. 
  85. ↑ Zaeimi, Mohammad; Ghoddosian, Ali (2020-08-01). "Color harmony algorithm: an art-inspired metaheuristic for mathematical function optimization" (in en). Soft Computing 24 (16): 12027–12066. doi:10.1007/s00500-019-04646-4. ISSN 1433-7479. 
  86. ↑ Kaveh, Ali; Talatahari, Siamak; Khodadadi, Nima (2020). "Stochastic Paint Optimizer: theory and application in civil engineering" (in en). Engineering with Computers 38 (3): 1921–1952. doi:10.1007/s00366-020-01179-5. ISSN 0177-0667. https://link.springer.com/article/10.1007/s00366-020-01179-5. 
  87. ↑ Harifi, Sasan; Mohammadzadeh, Javad; Khalilian, Madjid; Ebrahimnejad, Sadoullah (2020-07-13). "Giza Pyramids Construction: an ancient-inspired metaheuristic algorithm for optimization" (in en). Evolutionary Intelligence 14 (4): 1743–1761. doi:10.1007/s12065-020-00451-3. ISSN 1864-5917. 
  88. ↑ Zervoudakis, Konstantinos; Tsafarakis, Stelios (2020). "A mayfly optimization algorithm" (in en). Computers & Industrial Engineering 145: 106559. doi:10.1016/j.cie.2020.106559. 
  89. ↑ Azizi, Mahdi; Talatahari, Siamak; Gandomi, Amir H. (2023-01-01). "Fire Hawk Optimizer: a novel metaheuristic algorithm" (in en). Artificial Intelligence Review 56 (1): 287–363. doi:10.1007/s10462-022-10173-w. ISSN 1573-7462. 
  90. ↑ Zervoudakis, Konstantinos; Tsafarakis, Stelios (2023). "A global optimizer inspired from the survival strategies of flying foxes" (in en). Engineering with Computers 39 (2): 1583–1616. doi:10.1007/s00366-021-01554-w. 



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