Journal of Shanghai University(Natural Science Edition)

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Stochastic Level-Value Approximation for Global Optimization

YANG Yi1,2,PENG Zheng1,YAN Kan1,WU Dong-hua1   

  1. 1.College of Sciences, Shanghai University, Shanghai 200444, China;
    2.Department of Mathematics, Lishui College, Lishui 323000, Zhejiang, China
  • Received:2007-09-18 Revised:1900-01-01 Online:2008-06-30 Published:2008-06-30
  • Contact: WU Dong-hua

Abstract:

We propose a stochastic level-value approximating method (SLVAM) for
global optimization problem that is defined in an entire box. We discuss and est
ablish a sufficient condition for the global optimality in probability measure
, and prove that the SLVAM algorithm is convergent in probability. Numerical results show its effectiveness.

Key words: convergence in probability, stochastic level-value approximation, global optimization

CLC Number: