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A Method for Solving Optimization Problem in Continuous Space Using Improved Ant Colony Algorithm

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3327))

Abstract

A method for solving optimization problem with continuous parameters using improved ant colony algorithm is presented. In the method, groups of candidate values of the components are constructed, and each value in the group has its trail information. In each iteration of the ant colony algorithm, the method first chooses initial values of the components using the trail information. Then, crossover and mutation can determine the values of the components in the solution. Our experimental results of the problem of nonlinear programming show that our method has much higher convergence speed and stability than that of GA, and the drawback of ant colony algorithm of not being suitable for solving continuous optimization problems is overcome.

This research was supported in part by Chinese National Science Foundation, Science Foundation of Jaingsu Educational Commission, China.

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References

  1. Dorigo, M., Maniezzo, V., Colorni, A.: Ant system: Optimization by a colony of coorperating agents. IEEE Trans. on SMC 26(1), 28–41 (1996)

    Google Scholar 

  2. Dorigo, M., Gambardella, L.M.: Ant Colony System: A cooperative learning approach to the traveling salesman problem. IEEE Trans. on Evolutionary Computing 1(1), 53–56 (1997)

    Article  Google Scholar 

  3. Colorni, A., Dorigo, M., Maniezzo, V.: Ant colony system for job-shop scheduling. Belgian J. of Operations Research Statistics and Computer Science 34(1), 39–53 (1994)

    MATH  Google Scholar 

  4. Maniezzo, V.: Exact and approximate nonditerministic tree search procedures for the quadratic assignment problem. INFORMS J. Comput 11, 358–369 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  5. Maniezzo, V., Carbonaro, A.: An ANTS heuristic for the frequency assignment problem. Future Generation Computer Systems 16, 927–935 (2000)

    Article  Google Scholar 

  6. Gambardella, L.M., Dorigo, M.: HAS-SOP: An Hybrid Ant System for the Sequential Ordering Problem. Tech. Rep. No. IDSIA 97-11, IDSIA, Lugano, Switzerland (1997)

    Google Scholar 

  7. Hadeli, V.P., Kollingbaum, M., Van Brussel, H.: Multi-agent coordination and control using stigmergy. Computers in Industry 53(1), 75–96 (2004)

    Article  Google Scholar 

  8. Eggers, J., Feillet, D., Kehl, S., Wagner, M.O., Yannou, B.: Optimization of the keyboard arrangement problem using an Ant Colony algorithm. European Journal of Operational Research 148(3), 672–686 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  9. Gravel, M., Price, W.L., Gagné, C.: Scheduling continuous casting of aluminum using a multiple objective ant colony optimization metaheuristic. European Journal of Operational Research 143(1), 218–229 (2002)

    Article  MATH  Google Scholar 

  10. Shelokar, P.S., Jayaraman, V.K., Kulkarni, B.D.: An ant colony classifier system: application to some process engineering problems. Computers & Chemical Engineering 28(9), 1577–1584 (2004)

    Article  Google Scholar 

  11. Scheuermann, B., So, K., Guntsch, M., Middendorf, M., Diessel, O., ElGindy, H., Schmeck, H.: FPGA implementation of population-based ant colony optimization. Applied Soft Computing 4(3), 303–322 (2004)

    Article  Google Scholar 

  12. Gambardella, L., Dorigo, M.: Ant-Q: A reinforcement learning approach to the traveling salesman problem. In: Proceedings of the 11th International Conference on Evolutionary Computation, pp. 616–621 (1996)

    Google Scholar 

  13. Dorigo, M., Luca, M.: A study of Ant-Q. In: Ebeling, W., Rechenberg, I., Voigt, H.-M., Schwefel, H.-P. (eds.) PPSN 1996. LNCS, vol. 1141, pp. 656–665. Springer, Heidelberg (1996)

    Chapter  Google Scholar 

  14. Stutzle, T., Hoos, H.H.: Improvements on the Ant System: Introducting the MAX-MIN Ant System. In: Artificial Neural Networks and Genetic Algorithms, pp. 245–249. Springer, New York (1988)

    Google Scholar 

  15. Gambaradella, L.M., Dorigo, M.: HAS-SOP: Hybrid ant system for the sequential ordering problem. Technical Report, IDSIA (1997)

    Google Scholar 

  16. Botee, H.M., Bonabeau, E.: Evolving ant colony optimization. Adv. Complex Systems 1, 149–159 (1998)

    Article  Google Scholar 

  17. Chen, L., Shen, J., Qin, L.: An Adaptive Ant Colony Algorithm Based on Equilibrium of Distribution. Journal of Software 14(6), 1148–1151 (2003)

    MATH  Google Scholar 

  18. Chen, L., Qin, L., et al.: Ant colony algorithm with characteristics of sensation and consciousness. Journal of System Simulation 15(10), 1418–1425 (2003)

    Google Scholar 

  19. Gutjahr, W.J.: ACO algorithms with guaranteed convergence to the optimal solution. Information Processing Letters 82(3), 145–153 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  20. Randall, M., Lewis, A.: A Parallel Implementation of Ant Colony Optimization. Journal of Parallel and Distributed Computing 62(9), 1421–1432 (2002)

    Article  MATH  Google Scholar 

  21. Bilchev, G., Parmee, I.C.: The ant colony metaphor for searching continuous design spaces. In: Fogarty, T.C. (ed.) AISB-WS 1995. LNCS, vol. 993, pp. 25–39. Springer, Heidelberg (1995)

    Chapter  Google Scholar 

  22. Shen, J., Chen, L.: A new approach to solving nonlinear programming. Journal of Systems Science and Systems Engineering 11(1), 28–36 (2002)

    Google Scholar 

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Chen, L., Shen, J., Qin, L., Fan, J. (2004). A Method for Solving Optimization Problem in Continuous Space Using Improved Ant Colony Algorithm. In: Shi, Y., Xu, W., Chen, Z. (eds) Data Mining and Knowledge Management. CASDMKM 2004. Lecture Notes in Computer Science(), vol 3327. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30537-8_7

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  • DOI: https://doi.org/10.1007/978-3-540-30537-8_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23987-1

  • Online ISBN: 978-3-540-30537-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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