Analysis of the Properties of the Harmony Search Algorithm Carried Out on the One Dimensional Binary Knapsack Problem

  • Jerzy Greblicki
  • Jerzy Kotowski
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5717)

Abstract

In the paper we carried out the analysis of the properties of the Harmony Search Algorithm (HSA) on a well known one-dimensional binary knapsack problem. Binary knapsack problems are among the most widely studied problems in discrete optimization. Since the optimization versions of these problems are nP-hard, practical solution techniques do not ask for optimality, but are heuristics that generate feasible, suboptimal solutions. In this paper we describe the 0-1 knapsack problem itself, the backgrounds of the HSA, Baldwin and Lamarck Effects and the numerical tests. The result of the tests performed is surprised a bit.

Keywords

knapsack problem HSA Baldwin Effect Lamarck Effect 

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References

  1. 1.
    Arabas, J.: Lectures on Evolutionary Algorithms. WNT, Warsaw (2001) (in Polish)Google Scholar
  2. 2.
    Baldwin, J.M.: A new Factor in Evolution. American Naturalist 30, 441–451 (1896)CrossRefGoogle Scholar
  3. 3.
    Cheng, Y.M., Lansivaara, L., Li, T., Chi, S.C., Sun, Y.J.: An improved harmony search minimization algorithm using different slip surface generation methods for slope stability analysis. Engineering Optimization 40, 95–115 (2008)CrossRefGoogle Scholar
  4. 4.
    French, R.M., Messinger, A.: Genes, Phenes and the Baldwin Effect: Learning and Evolution in a Simulated Population, pp. 277–282. The MIT Press, Cambridge (1994)Google Scholar
  5. 5.
    Geem, Z.W., Kim, J.H., Loganathan, G.V.: A new heuristic optimization algorithm: harmony search. Simulation 76(2), 60–68 (2001)CrossRefGoogle Scholar
  6. 6.
    GGeem, Z.W., Tseng, C.L.: New methodology, harmony search and its robustness. In: 2002 Genetic and Evolutionary Computation Conference, pp. 174–178 (2002)Google Scholar
  7. 7.
    Geem, Z.W.: Optimal cost design of water distribution networks using harmony search. In: Environmental Planning and Management Program, pp. 1–49. Johns Hopkins University (2005)Google Scholar
  8. 8.
    Greblicki, J., Kotowski, J.: Optimal RNS Moduli Set for DSP Applications. In: Proc. of MMAR 2005, 11th IEEE Conference on Methods and Models in Automation and Robotics (2005)Google Scholar
  9. 9.
    Greblicki, J., Kotowski, J.: The Greedy Solution of the OPTIMAL RNS Moduli Set Problem. In: Proc. of MMAR 2005, 11th IEEE Conference on Methods and Models in Automation and Robotics (2005)Google Scholar
  10. 10.
    Kotowski, J.: The use of the method of illusion to optimizing the simple cutting stock problem. In: Proc. MMAR 2001, 7th IEEE Conference on Methods and Models in Automation and Robotics, vol. 1, pp. 149–154 (2001)Google Scholar
  11. 11.
    Turney, P.: Myths and Legends of the Baldwin Effect. In: Proc. GECCO 1999, Genetic and Evolutionary Computation Conference (1999)Google Scholar
  12. 12.
    Weber, B.H., Depew, D.J.: Evolution and Learning: The Baldwin Effect Reconsidered. MIT Press, Cambridge (2003)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Jerzy Greblicki
    • 1
  • Jerzy Kotowski
    • 1
  1. 1.Institute of Computer Engineering, Control and RoboticsWrocław University of TechnologyWrocławPoland

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