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A species conserving genetic algorithm for multimodal function optimization

Published: 01 September 2002 Publication History

Abstract

This paper introduces a new technique called species conservation for evolving parallel subpopulations. The technique is based on the concept of dividing the population into several species according to their similarity. Each of these species is built around a dominating individual called the species seed. Species seeds found in the current generation are saved (conserved) by moving them into the next generation. Our technique has proved to be very effective in finding multiple solutions of multimodal optimization problems. We demonstrate this by applying it to a set of test problems, including some problems known to be deceptive to genetic algorithms.

References

[1]
Ackley, D. H. (1987). An empirical study of bit vector function optimization. In Davis, L., editor, Genetic Algorithms and Simulated Annealing, pages 170-204, Pitman, London, UK.
[2]
Beasley, D., Bull, D. R., and Martin, R. R. (1993). A Sequential Niche Technique for Multimodal Function Optimization. Evolutionary Computation, 1(2):101-125.
[3]
Cavicchio, D. J. (1970). Adaptive Search Using Simulated Evolution. Ph.D. thesis, University of Michigan, Ann Arbor, Michigan.
[4]
Cohoon, J. P. et al. (1987). Punctuated equilibria: a parallel genetic algorithm. In Grefenstette, J. J., editor, Genetic Algorithms and their Applications: Proceedings of the Second International Conference on Genetic Algorithms, pages 148-154, Lawrence Earlbaum, Hillsdale, New Jersey.
[5]
Cohoon, J. P. et al. (1991). Distributed Genetic Algorithms for the Floorplan Design Problem. IEEE Transactions on Computer-Aided Design, 10(4):483-492.
[6]
Davidor, Y. (1991). A naturally occurring niche and species phenomenon: the model and first results. In Belew, R. K. and Booker, L. B., editors, Proceedings of the Fourth International Conference on Genetic Algorithms, pages 257-263, Morgan Kaufmann, San Mateo, California.
[7]
Deb, K. (1989). Genetic Algorithms in Multimodal Function Optimization. Master's thesis, University of Alabama, Tuscaloosa, Alabama.
[8]
Deb, K. and Goldberg, D. E. (1989). An investigation of niche and species formation in genetic function optimization. In Schaffer, J. D., editor, Proceedings of the Third International Conference on Genetic Algorithms, pages 42-50, Morgan Kaufmann, San Mateo, California.
[9]
Deb, K. and Goldberg, D. E. (1991). Analyzing deception in trap functions. IlliGAL Technical Report 91009, Illinois Genetic Algorithms Laboratory, University of Illinois, Urbana, Illinois.
[10]
De Jong, K. A. (1975). An Analysis of Behavior of a Class of Genetic Adaptive Systems. Ph.D. thesis, University of Michigan, Ann Arbor, Michigan.
[11]
Eby, D. et al. (1999). The optimization of flywheels using an injection island genetic algorithm. In Bentley, P. J., editor, Evolutionary Design by Computers, pages 167-190, Morgan Kaufmann, San Francisco, California.
[12]
Eshelman, L. J. (1991). The CHC adaptive search algorithm: how to have safe search when engaging in nontraditional genetic recombination. In Rawlins, G. J. E., editor, Foundations of Genetic Algorithms, pages 265-283, Morgan Kaufmann, San Mateo, California.
[13]
Gen, M. and Cheng, R. (1997). Genetic Algorithms and Engineering Design. John Wiley and Sons, New York, New York.
[14]
Glover, F. (1989). Tabu Search - Part I. ORSA Journal on Computing, 1(3):190-206.
[15]
Goldberg, D. E. (1989). Genetic Algorithms in Search, Optimization and Machine Learning. Addison-Wesley, Reading, Massachusetts.
[16]
Goldberg, D. E. (1990). A Note on Boltzmann Tournament Selection for Genetic Algorithms and Population-oriented Simulated Annealing. Complex Systems, 4(4):445-460.
[17]
Goldberg, D. E. (1992). Construction of High-order Deceptive Functions using Low-order Walsh Coefficients. Annals of Mathematics and Artificial Intelligence, 5:35-48.
[18]
Goldberg, D. E. and Richardson, J. (1987). Genetic algorithms with sharing for multimodal function optimization. In Grefenstette, J. J., editor, Genetic Algorithms and their Applications: Proceedings of the Second International Conference on Genetic Algorithms, pages 41-49, Lawrence Earlbaum, Hillsdale, New Jersey.
[19]
Gordon, V. S., Whitley, D., and Böhn, A. (1992). Dataflow parallelism in genetic algorithms. In Männer, R. and Manderick, B., editors, Parallel Problem Solving from Nature 2, pages 533-542, Elsevier Science, Amsterdam, The Netherlands.
[20]
Holland, J. H. (1975). Adaptation in Natural and Artificial System. University of Michigan Press, Ann Arbor, Michigan.
[21]
Hughes, E. J. and Leyland, M. (2000). Using Multiple Genetic Algorithms to Generate Radar Point-scatterer Models. IEEE Transactions on Evolutionary Computation, 4(2):147-163.
[22]
Lienig, J. and Thulasiraman, K. (1993). A Genetic Algorithm for Channel Routing in VLSI Circuits. Evolutionary Computation, 1(4):293-311.
[23]
Mahfoud, S. W. (1995). Niching methods for genetic algorithms. IlliGAL Technical Report 95001, Illinois Genetic Algorithms Laboratory, University of Illinois, Urbana, Illinois.
[24]
Martin, W. N., Lienig, J., and Cohoon, J. P. (1997). Island (migration) models: evolutionary algorithms based on punctuated equilibria. In Bäck, T., Fogel, D. B., and Michalewicz, Z., editors, Handbook of Evolutionary Computation, pages C6.3:1-C6.3:16, Institute of Physics Publishing, Bristol, UK.
[25]
Mengshoel, O. J. and Goldberg, D. E. (1999). Probability crowding: deterministic crowding with probabilistic replacement. In Banzhaf, W., Daida, J., and Eiben, A. E., editors, Proceedings of the Genetic and Evolutionary Computation Conference 1999, pages 409-416, Morgan Kaufmann, San Francisco, California.
[26]
Michalewicz, Z. (1996). Genetic Algorithms + Data Structures = Evolution Programs. Springer-Verlag, New York, New York.
[27]
Parmee, I. C. (1999). A Review of Evolutionary/Adaptive Search in Engineering Design. Evolutionary Optimization, 1(1):13-39.
[28]
Sarma, J. and De Jong, K. (1997). Generation gap methods. In Bäck, T., Fogel, D. B., and Michalewicz, Z., editors, Handbook of Evolutionary Computation, pages C2.7:1-C2.7:5, Institute of Physics Publishing, Bristol, UK.
[29]
Spears, W. M. (1994). Simple subpopulation schemes. In Sebald, A. V. and Fogel, L. J., editors, Proceedings of the Third Annual Conference on Evolutionary Programming, pages 296-307, World Scientific, Singapore.
[30]
Storn, R. and Price, K. (1997). Differential Evolution a Simple and Efficient Heuristic for Global Optimization over Continuous Spaces. Journal of Global Optimization, 11(4):341-359.
[31]
Whitley, D. (1989). The GENITOR algorithm and selection pressure: why rank-based allocation of reproductive trials is best. In Schaffer, J. D., editor, Proceedings of the Third International Conference on Genetic Algorithms, pages 116-121, Morgan Kaufmann, San Mateo, California.

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Published In

cover image Evolutionary Computation
Evolutionary Computation  Volume 10, Issue 3
Fall 2002
108 pages
ISSN:1063-6560
EISSN:1530-9304
Issue’s Table of Contents

Publisher

MIT Press

Cambridge, MA, United States

Publication History

Published: 01 September 2002
Published in EVOL Volume 10, Issue 3

Author Tags

  1. genetic algorithms
  2. multimodal functions
  3. niching
  4. species
  5. species conservation

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