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A Chaotic Annealing Neural Network with Gain Sharpening and Its Application to the 0/1 Knapsack Problem

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Abstract

In this article we present a modified transiently chaotic neural network model and then use it to solve the 0/1 knapsack problem. During the chaotic searching the gain of the neurons is gradually sharpened, this strategy can accelerate the convergence of the network to a binary state and keep the satisfaction of the constraints. The simulation demonstrates that the approach is efficient both in approximating the global solution and the number of iterations.

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References

  1. L. Chen and K. Aihara, “Chaotic simulated annealing by a neural networkmodel with transient chaos, ” Neural Networks, Vol. 8, pp. 915–930, 1995.

    Google Scholar 

  2. B.W. Lee and B. Sheu, “Parallel hardware annealing for optimal solutions on electronic neural networks, ” IEEE Trans. Neural Networks, Vol. 4, pp. 588–598, 1993.

    Google Scholar 

  3. S. Martelloand P. Toth, Knapsack Problems - Algorithms and Computer Implementation, John Wiley, Chichester, 1990.

    Google Scholar 

  4. M. Ohlsson, C. Peterson and B. Soderberg, “Neural networks for optimizationproblems with inequality constraints - knapsack problem, ” Neural Computation, Vol. 5, pp. 331–339, 1993.

    Google Scholar 

  5. M. Ohlsson and H. Pi, “A study of the mean field approach toknapsack problems, ” Neural Networks, Vol. 10, pp. 263–271, 1997.

    Google Scholar 

  6. C. Petersonand B. Soderberg, “A new method for mapping optimization problems into neural networks, ” Int. J. Neural Syst., Vol. 1, pp. 3–22, 1989.

    Google Scholar 

  7. B. Wang and Z. He, “Toimplement CDMA multiuser detector by using the transiently chaotic neural networks, ” IEEE Trans. Aerosp. Elect. Syst., Vol. 33, No. 3, pp. 1068–1071, 1997.

    Google Scholar 

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Wang, B., Dong, H. & He, Z. A Chaotic Annealing Neural Network with Gain Sharpening and Its Application to the 0/1 Knapsack Problem. Neural Processing Letters 9, 243–247 (1999). https://doi.org/10.1023/A:1018603904290

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  • DOI: https://doi.org/10.1023/A:1018603904290

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