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Dependent-Chance Programming Model for Stochastic Network Bottleneck Capacity Expansion Based on Neural Network and Genetic Algorithm

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Advances in Natural Computation (ICNC 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3612))

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Abstract

This paper considers how to increase the capacities of the elements in a set E efficiently so that probability of the total cost for the increment of capacity can be under an upper limit to maximum extent while the final expansion capacity of a given family F of subsets of E is with a given limit bound. The paper supposes the cost w is a stochastic variable according to some distribution. Network bottleneck capacity expansion problem with stochastic cost is originally formulated as Dependent-chance programming model according to some criteria. For solving the stochastic model efficiently, network bottleneck capacity algorithm, stochastic simulation, neural network(NN) and genetic algorithm(GA) are integrated to produce a hybrid intelligent algorithm. Finally a numerical example is presented.

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References

  1. Ahuja, R.K., Magnanti, T.L., Orlin, J.B.: Network Flows. Prentice-Hall, Englewood Cliffs (1993)

    Google Scholar 

  2. Averbakh, I., Berman, O., Punnen, A.P.: Constrained Matroidal Bottleneck Problem. Discrete Applied Mathematics 63, 201–214 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  3. Krumke, S.O., Marthe, M.V., Ravi, R., Ravi, S.S.: Approximation Algorithms for Certain Network Improvement. Journal of Combinatorial Optimization 2, 257–288 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  4. Zhang, J., Yang, C., Lin, Y.: A Class of Bottleneck Expansion Problems. Computer and Operational Research 124, 77–88 (2000)

    Article  MATH  Google Scholar 

  5. Yang, C., Liu, J.: A Capacity Expansion Problem with Budget Constraint and Bottleneck Limitation. Acta Mathematica Scientia 22, 207–212 (2002)

    MATH  Google Scholar 

  6. Hongguo, W., Shaohan, M.: Capacity Expansion Problem on Undirected Network. Journal of Shangdong University 35, 418–424 (2000)

    MATH  Google Scholar 

  7. Hongguo, W., Shaohan, M.: Capacity Expansion Problem on Directed Network. Application Mathematics Journal of Chinese University 16, 471–473 (2001)

    MATH  Google Scholar 

  8. Yang, X.G., Zhang, J.Z.: A Network Improvement Problem under Different Norms. Computational Optimization and Applications 27, 305–319 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  9. Charnes, A., Cooper, W.W.: Management Models and Industrial Applications of Linear Programming. Prentice-Hall, Englewood Cliffs (1961)

    MATH  Google Scholar 

  10. Liu, B.: Dependent-Chance Programming: a class of stochastic programming. Computers & Mathematics with Applications 34, 89–104 (1997)

    Article  MATH  Google Scholar 

  11. Iwamura, K., Liu, B.: Dependent-Chance Integer Programming Applied to Capital Budgeting. Journal of the Operations Research Society of Japan 42, 117–127 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  12. Ryan, S.M.: Capacity Expansion for Random Exponential Demand Growth. Working Paper No.00-109, Industrial and Manufacturing Systems Engineering, Iowa State University, Ames, IA (August 2000)

    Google Scholar 

  13. Katagiri, H., Ishii, H.: Chance Constrained Bottleneck Spanning Tree Problem with Fuzzy Random Edge Costs. Journal of the Operations Research Society of Japan 43, 128–137 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  14. Katagiri, H., Sakawa, M., Ishii, H.: Fuzzy Random Bottleneck Spanning Tree Problem Using Possibility and Necessity Measures. European Journal of Operational Research 152, 88–95 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  15. Liu, B.: Uncertain Programming. Wiley, New York (1999)

    Google Scholar 

  16. Venkatech, S.: Computation and Learning in the Context of Neural Network Capacity. Neural Networks for Perception 2, 173–327 (1992)

    Google Scholar 

  17. Castellano, G., Fanelli, A.M., Pelillo, M.: An Iterative Pruning Algorithm for FeedForward Neural Networks. IEEE Transactions on Neural Network 8, 519–537 (1997)

    Article  Google Scholar 

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© 2005 Springer-Verlag Berlin Heidelberg

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Wu, Y., Zhou, J., Yang, J. (2005). Dependent-Chance Programming Model for Stochastic Network Bottleneck Capacity Expansion Based on Neural Network and Genetic Algorithm. In: Wang, L., Chen, K., Ong, Y.S. (eds) Advances in Natural Computation. ICNC 2005. Lecture Notes in Computer Science, vol 3612. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11539902_14

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  • DOI: https://doi.org/10.1007/11539902_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28320-1

  • Online ISBN: 978-3-540-31863-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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