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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 15))

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Abstract

Filled function method is an approach to find the global minimum of nonlinear functions. Many Problems, such as computing, communication control, and management, in real applications naturally result in global optimization formulations in a form of nonlinear global integer programming. This paper gives a modified filled function method to solve the nonlinear global integer programming problem. The properties of the proposed modified filled function are also discussed in this paper. The results of preliminary numerical experiments are also reported.

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References

  1. Lucid, S., Piccialli, V.: New Classes of Globally Convexized Filled Functions for Global Optimization. J. Global Optimiz. 24, 219–236 (2002)

    Article  Google Scholar 

  2. Ge, R.P., Qin, Y.F.: The Global Convexized Filled Functions for Globally Optimization. Applied Mathematics and Computation 35, 131–158 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  3. Ge, R.P.: A Filled Function Method for Finding a Global Minimizer of a Function of Several Variables. Mathematical Programming 46, 191–204 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  4. Shang, Y.L., Zhang, L.S.: A Filled Function Method for Finding a Global Minimizer on Global Integer Optimization. J. Computat. Appl. Math. 181, 200–210 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  5. Shang, Y.L., Zhang, L.S.: Finding Discrete Global Minimizer with a Filled Function for Integer Programming. Europ. J. Operat. Res. 189, 31–40 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  6. Shang, Y.L., Pu, D.G., Jiang, A.P.: Finding Global Minimizer with One-parameter Filled Function on Unconstrained Global Optimization. Appl. Math. Comput. 191, 176–182 (2007)

    Article  MathSciNet  Google Scholar 

  7. Shang, Y.L., Han, B.S.: One-parameter Quasi-filled Function Algorithm for Nonlinear Integer Programming. J. Zhejiang Univers. SCIENCE 6A, 305–310 (2005)

    Article  MATH  Google Scholar 

  8. Zhu, W.X.: A Filled Function Method for Nonlinear Integer Programming. Chinese ACTA of Mathematicae Applicatae Sinica 23, 481–487 (2000)

    MATH  Google Scholar 

  9. Ge, R.P., Huang, H.: A Continuous Approach to Nonlinear Integer Programming. Appl. Math. Comput. 34, 39–60 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  10. Zhang, L.S., Gao, F., Yao, Y.R.: Continuity Methods for Nonlinear Integer Programming. OR Transactions 2, 59–66 (1998)

    Google Scholar 

  11. Levy, A.V., Montalvo, A.: The Tunneling Algorithm for the Global Minimization of Function. SIAM J. Science Statistical Comput. 6(1), 15–29 (1985)

    Article  MATH  MathSciNet  Google Scholar 

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De-Shuang Huang Donald C. Wunsch II Daniel S. Levine Kang-Hyun Jo

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© 2008 Springer-Verlag Berlin Heidelberg

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Liu, Y., Shang, Yl. (2008). Modified Filled Function Method for Resolving Nonlinear Integer Programming Problem. In: Huang, DS., Wunsch, D.C., Levine, D.S., Jo, KH. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Contemporary Intelligent Computing Techniques. ICIC 2008. Communications in Computer and Information Science, vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85930-7_70

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  • DOI: https://doi.org/10.1007/978-3-540-85930-7_70

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-85929-1

  • Online ISBN: 978-3-540-85930-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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