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Solving Radial Topology Constrained Problems with Evolutionary Algorithms

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1585))

Abstract

We report key algorithmic specific features involved in the evolutionary radial network problem solution. We focus on the dimensionality problem of large-scale networks and on the singularities of the radial topology search space. We (1) report the difficulties of the canonical genetic algorithm in handling network topology constraints, and (2) present both the genotype information structure and the recombination operator to overcome such difficulties. The proposed recombination operator processes genetic information as meaningful topological structures, and turns radiality and connectivity into genetic transmissible properties. Results are presented to illustrate the difference between the canonical approach and the approach taken.

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References

  1. R. N. Adams and M. A. Laughton ‘Optimal Planning of Power Networks using Mixed-integer Programming Part 1—Static and time-phased network synthesis’ Proceedings IEE, Vol 121,No 2, 1974, pp. 139–148

    Google Scholar 

  2. G. T. Boardman and C. C. Meckiff ‘A Branch-and-Bound Formulation to an Electricity Distribution Planning Problem’ IEEE Trans. PAS, Vol 104,No 8, 1985, pp. 2112–2118

    Google Scholar 

  3. R. H. Jan, F. J. Hwang, S.T. Cheng, ‘Topological Optimization of a Communication Network Subject to a Reliability Contsraint’ IEEE Trans. Reliability, Vol. 42, 1993, pp. 63–70.

    Article  MATH  Google Scholar 

  4. M. A. El-Kady ‘Computer-aided Planning of Distribution Substation and Primary Feeders’ IEEE Trans. PAS, Vol 103,No 6, 1984, pp. 1183–1189

    Google Scholar 

  5. N. Kagan and R. N. Adams ‘Application of Benders Decomposition Technique to the Distribution Planning Problem’ Proc. 10th Power System Computation Conference, Graz, Austria, 1990

    Google Scholar 

  6. G. J. Peponis and M. P. Papadopoulos ‘New Dynamic, Branch Exchange Method for Optimal Distribution System Planning’ IEE Proc. Gener. Transm. Distrib., Vol 144,No 3, 1997, pp. 333–339

    Article  Google Scholar 

  7. F. Glover, M. Lee, J Ryan, ‘Least-cost Network Topology Design for a New Service: An Application of a Tabu Search’, Ann. Oper. Research, Vol 33, 1991, pp. 351–362

    Article  MATH  Google Scholar 

  8. S. Pierre, M.-A. Hyppolite, J.-M. Bourjolly, O. Dioume, ‘Topology Design of Computer Communication Networks Using Simulated Annealing’, Eng. Application Artificial Intelligence, Vol 8, 1995, pp. 61–69

    Article  Google Scholar 

  9. J. Partanen ‘A Modified Dynamic Programming Algorithm for Sizing, Locating, and Timing of Feeder Reinforcements’, IEEE Trans. Power Delivery, Vol 5,No 1, 1990, pp. 277–283.

    Article  Google Scholar 

  10. V. Miranda, J. V. Ranito, L. M. Proença, ‘Genetic Algorithms in Optimal Multistage Distribution Networks Planning’, IEEE Trans. Power Systems, Vol 9,No 4, 1994, pp. 1927–1933.

    Article  Google Scholar 

  11. P. M. S. Carvalho L. A F. M. Ferreira F. G. Lobo and L. M. F. Barruncho ‘Optimal Distribution Network Expansion Planning Under Uncertainty by Evolutionary Decision Convergence’, International Journal of Electrical Power & Energy Systems (Special Issue on PSCC’96), Vol. 20,No. 2, 1998, pp. 125–129.

    Article  Google Scholar 

  12. Berna Dengiz, F. Altiparmak, Alice E. Smith, ‘Local Search Genetic Algorithm for Optimal Design of Reliabe Networks’, IEEE Trans. Evolutionary Computation, Vol 1,No. 3, 1997, pp. 179–188.

    Article  Google Scholar 

  13. Z. Michalewicz, ‘Genetic Algorithms + Data Structures = Evolution Programs’, (Berlin, Germany: Spriger, 1996).

    MATH  Google Scholar 

  14. D. E. Goldberg, Genetic Algorithms in Search Optimization and Machine Learning, (Reading, MA, Addison-Wesley, 1989).

    MATH  Google Scholar 

  15. Thomas Bäck, Ulrich Hammel, Hans-Paul Schwefel, ‘Evolutionary Computation: Comments on the History and Current State’, IEEE Trans. Evolutionary Computation, Vol 1,No 1, 1997, pp. 3–17

    Article  Google Scholar 

  16. Seymour Lipschutz, General Topology, McGraw-Hill (1965).

    Google Scholar 

  17. D. E. Goldberg, K. Deb and J. H. Clark ‘Genetic Algorithms, Noise and the Sizing of Populations’, Complex Systems, 6, 1992, pp. 333–362

    MATH  Google Scholar 

  18. D. E. Goldberg and K. Deb ‘A Comparative Analysis of Selection Schemes Used in Genetic Algorithms’ pp. 69–93 in Foundations of Genetic Algorithms, edited by G. Rawlins (San Mateo, CA, Morgan Kaufman, 1991).

    Google Scholar 

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© 1999 Springer-Verlag Berlin Heidelberg

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Carvalho, P.M.S., Ferreira, L.A.F.M., M., L. (1999). Solving Radial Topology Constrained Problems with Evolutionary Algorithms. In: McKay, B., Yao, X., Newton, C.S., Kim, JH., Furuhashi, T. (eds) Simulated Evolution and Learning. SEAL 1998. Lecture Notes in Computer Science(), vol 1585. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48873-1_9

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  • DOI: https://doi.org/10.1007/3-540-48873-1_9

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65907-5

  • Online ISBN: 978-3-540-48873-6

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