Journals / New Trends in Mathematical Sciences / 2016 / Cilt: 4 Sayı: 4

Performance of population size on Knapsack problem

David Oyewola(Federal University of Technology, Minna, Niger)
Danladi Hakimi(Federal University of Technology, Minna, Niger)
Amuda Yusuph Yahaya(Federal University of Technology, Minna, Niger)
Gbolahan Bolarin(Federal University of Technology, Minna, Niger)
Pages
253–258
Publication Date
2016-12-31
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Moreover, the computational time is increased significantly.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In order to obtain meaningful information about the performance of the population size, a considerable number of independent runs of the GA are performed.
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Key Findings & Data:Accurate model parameters values are obtained in reasonable computational time.
💡
Conclusion & Impact:Moreover, the computational time is increased significantly.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Population · parameter · chromosome

Abstract

In order to obtain meaningful information about the performance of the population size, a considerable number of independent runs of the GA are performed. Accurate model parameters values are obtained in reasonable computational time. Further increase of the population size, does not improve the solution accuracy. Moreover, the computational time is increased significantly.

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Cite This Article

Oyewola, D., Hakimi, D., Yahaya, A. Y., Bolarin, G. (2016). Performance of population size on Knapsack problem. New Trends in Mathematical Sciences, Cilt: 4 Sayı: 4, 253–258. https://ajindex.com/articles/1003808

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References (16)

  1. C. R. Reeves, Using Genetic Algorithms With Small Populations,In Proceedings of the Fifth International Conference on Genetic Algorithms, (1993), pp. 92-99.
  2. O. Roeva and Ts. Slavov, Fed-batch Cultivation Control based on Genetic Algorithm PID Controller Tuning, Lecture Notes on Computer Science, Springer-Verlag Berlin Heidelberg, Vol. 6046, (2011), pp. 289-296.
  3. V. K. Koumousis and C. P. Katsaras, A sawtooth genetic algorithm combining the effects of variable population size and reinitialization to enhance performance, IEEE Transactions on Evolutionary Computation,Vol. 10, No. 1, (2006), pp. 19–28.
  4. M. Pelikan, D. E. Goldberg, and E. Cantu-Paz, Bayesian optimization algorithm, population sizing, and time to convergence, Illinois Genetic Algorithms Laboratory, University of Illinois, Tech. Rep., (2000).
  5. A. Piszcz and T. Soule, Genetic programming: Optimal population sizes for varying complexity problems, In Proceedings of the Genetic and Evolutionary Computation Conference, (2006), pp. 953–954
  6. F. G. Lobo and D. E. Goldberg, The parameterless genetic algorithm in practice, Information Sciences Informatics and Computer Science, Vol. 167, No. 1-4, (2004), pp. 217–232.
  7. F. G. Lobo and C. F. Lima, A review of adaptive population sizing schemes in genetic algorithms, In Proceedings of the Genetic and Evolutionary, Computation Conference, (2005), pp. 228–234.
  8. S.Akpinar and G.M. Bayhan, A Hybrid Genetic Algorithm for mixed model assembly line balancing problem with parallel workstations and zoning constraints, Engineering Applications of Artificial intellligence. Vol. 24, No 3 (2011), pp. 449-457
  9. H.N.Al-Duwaish, A Genetic Approach to the Identification of Linear Dynamic Systems with Static Nonlinearities. International Journal of Systems Science, Vol. 31, No. 3, 2000, pp. 307-313.
  10. J.P.Paplinksi, The Genetic Algorithm with Simplex Crossover for Identification of Time Delays, Intelligent Information Systems, 2010, pp. 337-346.
  11. M. Arndt and B.Hitzmann, Feed Forward/Feed back Control of Glucose Concentration during Cultivation of Escherichia coli, 8 ^th IFAC Int. Conf. on Comp. Appl. in Biotechn, Canada, 2001, pp. 425-429.
  12. Kaushik Kumar Bhattacharjee, S.P.Sarmah, Shuffled frog leaping algorithm and its application to 0/1 Knapsack problem, Applied Soft Computing, 19(2014) 252-263
  13. Vasquez, M. & Hao, J. K. A logic-constrained knapsack formulation and a tabu algorithm for the daily photograph scheduling of an earth observation satellite.Comput. Optim. Appl.,20, 137–157, (2001).
  14. Vincent, Boyer, Didier, El Baz and Moussa Elkihel, Solution of multidimensional knapsack problems via cooperation of dynamic programming and branch and bound, European J. Industrial Engineering, Vol. 4, No. 4,(2010).
  15. Wagner, H.M., Principles of Operations Research, Prentic-Hall, Inc,(1969).
  16. Yamada, T. & Futakawa, M. Heuristic and reduction algorithms for the knapsack sharing problem. Comput. Oper. Res.,24, 961–967,(1997).