Skip to main content

Genetic Algorithm: Theory, Literature Review, and Application in Image Reconstruction

  • Chapter
  • First Online:
Book cover Nature-Inspired Optimizers

Part of the book series: Studies in Computational Intelligence ((SCI,volume 811))

Abstract

Genetic Algorithm (GA) is one of the most well-regarded evolutionary algorithms in the history. This algorithm mimics Darwinian theory of survival of the fittest in nature. This chapter presents the most fundamental concepts, operators, and mathematical models of this algorithm. The most popular improvements in the main component of this algorithm (selection, crossover, and mutation) are given too. The chapter also investigates the application of this technique in the field of image processing. In fact, the GA algorithm is employed to reconstruct a binary image from a completely random image.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Holland, J. H. (1992). Genetic algorithms. Scientific American, 267(1), 66–73.

    Article  Google Scholar 

  2. Goldberg, D. E., & Holland, J. H. (1988). Genetic algorithms and machine learning. Machine Learning, 3(2), 95–99.

    Article  Google Scholar 

  3. Genlin, J. (2004). Survey on genetic algorithm. Computer Applications and Software, 2, 69–73.

    Google Scholar 

  4. Cant-Paz, E. (1998). A survey of parallel genetic algorithms. Calculateurs Paralleles, Reseaux et Systems Repartis, 10(2), 141–171.

    Google Scholar 

  5. Goldberg, D. E., & Deb, K. (1991). A comparative analysis of selection schemes used in genetic algorithms. In Foundations of Genetic Algorithms (Vol. 1, pp. 69–93). Elsevier.

    Google Scholar 

  6. Goldberg, D. E. (1990). A note on Boltzmann tournament selection for genetic algorithms and population-oriented simulated annealing. Complex Systems, 4(4), 445–460.

    MATH  Google Scholar 

  7. Miller, B. L., & Goldberg, D. E. (1995). Genetic algorithms, tournament selection, and the effects of noise. Complex Systems, 9(3), 193–212.

    MathSciNet  Google Scholar 

  8. Kumar, R. (2012). Blending roulette wheel selection & rank selection in genetic algorithms. International Journal of Machine Learning and Computing, 2(4), 365.

    Article  Google Scholar 

  9. Syswerda, G. (1991). A study of reproduction in generational and steady-state genetic algorithms. In Foundations of Genetic Algorithms (Vol. 1, pp. 94–101). Elsevier.

    Google Scholar 

  10. Blickle, T., & Thiele, L. (1996). A comparison of selection schemes used in evolutionary algorithms. Evolutionary Computation, 4(4), 361–394.

    Article  Google Scholar 

  11. Collins, R. J., & Jefferson, D. R. (1991). Selection in massively parallel genetic algorithms (pp. 249–256). University of California (Los Angeles). Computer Science Department.

    Google Scholar 

  12. Ishibuchi, H., & Yamamoto, T. (2004). Fuzzy rule selection by multi-objective genetic local search algorithms and rule evaluation measures in data mining. Fuzzy Sets and Systems, 141(1), 59–88.

    Article  MathSciNet  Google Scholar 

  13. Hutter, M. (2002, May). Fitness uniform selection to preserve genetic diversity. In Proceedings of the 2002 Congress on Evolutionary Computation, CEC’02. (Vol. 1, pp. 783–788). IEEE.

    Google Scholar 

  14. Grefenstette, J. J. (1989). How genetic algorithms work: A critical look at implicit parallelism. In Proceedings 3rd International Joint Conference on Genetic Algorithms (ICGA89).

    Google Scholar 

  15. Syswerda, G. (1989). Uniform crossover in genetic algorithms. In Proceedings of the Third International Conference on Genetic Algorithms (pp. 2–9). Morgan Kaufmann Publishers.

    Google Scholar 

  16. Srinivas, M., & Patnaik, L. M. (1994). Genetic algorithms: A survey. Computer, 27(6), 17–26.

    Article  Google Scholar 

  17. Semenkin, E., & Semenkina, M. (2012, June). Self-configuring genetic algorithm with modified uniform crossover operator. In International Conference in Swarm Intelligence (pp. 414–421). Springer, Berlin, Heidelberg.

    Google Scholar 

  18. Hu, X. B., & Di Paolo, E. (2007, September). An efficient genetic algorithm with uniform crossover for the multi-objective airport gate assignment problem. In IEEE Congress on Evolutionary Computation CEC 2007 (pp. 55–62). IEEE.

    Google Scholar 

  19. Tsutsui, S., Yamamura, M., & Higuchi, T. (1999, July). Multi-parent recombination with simplex crossover in real coded genetic algorithms. In Proceedings of the 1st Annual Conference on Genetic and Evolutionary Computation-Volume 1 (pp. 657–664). Morgan Kaufmann Publishers Inc.

    Google Scholar 

  20. Blickle, T., Fogel, D. B., & Michalewicz, Z. (Eds.). (2000). Evolutionary computation 1: Basic algorithms and operators (Vol. 1). CRC Press.

    Google Scholar 

  21. Oliver, I. M., Smith, D., & Holland, J. R. (1987). Study of permutation crossover operators on the travelling salesman problem. In Genetic Algorithms and Their Applications: Proceedings of the Second International Conference on Genetic Algorithms July 28–31. (1987). at the Massachusetts institute of technology (p. 1987) Cambridge, MA. Hillsdale, NJ: L. Erlhaum Associates.

    Google Scholar 

  22. Davis, L. (1985, August). Applying adaptive algorithms to epistatic domains. In IJCAI (Vol. 85, pp. 162–164).

    Google Scholar 

  23. Whitley, D., Timothy, S., & Daniel, S. Schedule optimization using genetic algorithms. In L Davis, (ed.), pp. 351–357.

    Google Scholar 

  24. Grefenstette, J., Gopal, R., Rosmaita, B., & Van Gucht, D. (1985, July). Genetic algorithms for the traveling salesman problem. In Proceedings of the First International Conference on Genetic Algorithms and Their Applications (pp. 160–168).

    Google Scholar 

  25. Louis, S. J., & Rawlins, G. J. (1991, July). Designer genetic algorithms: Genetic algorithms in structure design. In ICGA (pp. 53–60).

    Google Scholar 

  26. Eshelman, L. J., Caruana, R. A., & Schaffer, J. D. (1989, December). Biases in the crossover landscape. In Proceedings of the Third International Conference on Genetic Algorithms (pp. 10–19). Morgan Kaufmann Publishers Inc.

    Google Scholar 

  27. Deep, K., & Thakur, M. (2007). A new mutation operator for real coded genetic algorithms. Applied Mathematics and Computation, 193(1), 211–230.

    Article  MathSciNet  Google Scholar 

  28. Srinivas, M., & Patnaik, L. M. (1994). Adaptive probabilities of crossover and mutation in genetic algorithms. IEEE Transactions on Systems, Man, and Cybernetics, 24(4), 656–667.

    Article  Google Scholar 

  29. Neubauer, A. (1997, April). A theoretical analysis of the non-uniform mutation operator for the modified genetic algorithm. In IEEE International Conference on Evolutionary Computation, 1997 (pp. 93–96). IEEE.

    Google Scholar 

  30. Hinterding, R. (1995, November). Gaussian mutation and self-adaption for numeric genetic algorithms. In IEEE International Conference on Evolutionary Computation, 1995 (Vol. 1, p. 384). IEEE.

    Google Scholar 

  31. Tsutsui, S., & Fujimoto, Y. (1993, June). Forking genetic algorithm with blocking and shrinking modes (fGA). In ICGA (pp. 206–215).

    Google Scholar 

  32. Oosthuizen, G. D. (1987). Supergran: a connectionist approach to learning, integrating genetic algorithms and graph induction. In Genetic Algorithms and Their Applications: Proceedings of the Second International Conference on Genetic Algorithms: July 28–31. at the Massachusetts Institute of Technology (p. 1987) Cambridge, MA. Hillsdale, NJ: L. Erlhaum Associates.

    Google Scholar 

  33. Mauldin, M. L. (1984, August). Maintaining diversity in genetic search. In AAAI (pp. 247–250).

    Google Scholar 

  34. Ankenbrandt, C. A. (1991). An extension to the theory of convergence and a proof of the time complexity of genetic algorithms. In Foundations of genetic algorithms (Vol. 1, pp. 53–68). Elsevier.

    Google Scholar 

  35. Ahn, C. W., & Ramakrishna, R. S. (2003). Elitism-based compact genetic algorithms. IEEE Transactions on Evolutionary Computation, 7(4), 367–385.

    Article  Google Scholar 

  36. Zitova, B., & Flusser, J. (2003). Image registration methods: A survey. Image and Vision Computing, 21(11), 977–1000.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Seyedali Mirjalili .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Mirjalili, S., Song Dong, J., Sadiq, A.S., Faris, H. (2020). Genetic Algorithm: Theory, Literature Review, and Application in Image Reconstruction. In: Mirjalili, S., Song Dong, J., Lewis, A. (eds) Nature-Inspired Optimizers. Studies in Computational Intelligence, vol 811. Springer, Cham. https://doi.org/10.1007/978-3-030-12127-3_5

Download citation

Publish with us

Policies and ethics