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.
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Arabas, J.: Lectures on Evolutionary Algorithms. WNT, Warsaw (2001) (in Polish)
Baldwin, J.M.: A new Factor in Evolution. American Naturalist 30, 441–451 (1896)
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)
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)
Geem, Z.W., Kim, J.H., Loganathan, G.V.: A new heuristic optimization algorithm: harmony search. Simulation 76(2), 60–68 (2001)
GGeem, Z.W., Tseng, C.L.: New methodology, harmony search and its robustness. In: 2002 Genetic and Evolutionary Computation Conference, pp. 174–178 (2002)
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)
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)
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)
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)
Turney, P.: Myths and Legends of the Baldwin Effect. In: Proc. GECCO 1999, Genetic and Evolutionary Computation Conference (1999)
Weber, B.H., Depew, D.J.: Evolution and Learning: The Baldwin Effect Reconsidered. MIT Press, Cambridge (2003)
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© 2009 Springer-Verlag Berlin Heidelberg
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Greblicki, J., Kotowski, J. (2009). Analysis of the Properties of the Harmony Search Algorithm Carried Out on the One Dimensional Binary Knapsack Problem. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory - EUROCAST 2009. EUROCAST 2009. Lecture Notes in Computer Science, vol 5717. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04772-5_90
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DOI: https://doi.org/10.1007/978-3-642-04772-5_90
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-04771-8
Online ISBN: 978-3-642-04772-5
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