Simultaneous Perturbation Stochastic Approximation Algorithm Combined with Neural Network and Fuzzy Simulation

被引:0
|
作者
宁玉富 [1 ]
唐万生 [1 ]
郭长友 [2 ]
机构
[1] Institute of Systems Engineering, Tianjin University
[2] Department of Computer Science, Dezhou University
基金
中国国家自然科学基金; 中国博士后科学基金;
关键词
fuzzy variable; fuzzy programming; fuzzy simulation; neural network; approximation theory; perturbation techniques; computer simulation; simultaneous perturbation stochastic approximation algorithm;
D O I
暂无
中图分类号
TP183 [人工神经网络与计算];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In order to solve three kinds of fuzzy programming models, i.e. fuzzy expected value model, fuzzy chance-constrained programming model, and fuzzy dependent-chance pro-gramming model, a simultaneous perturbation stochastic approximation algorithm is proposed by integrating neural network with fuzzy simulation. At first, fuzzy simulation is used to generate a set of input-output data. Then a neural network is trained according to the set. Finally, the trained neural network is embedded in simultaneous perturbation stochastic approximation algorithm. Simultaneous perturbation stochastic approximation algorithm is used to search the optimal solution. Two numerical examples are presented to illustrate the effectiveness of the proposed algorithm.
引用
收藏
页码:43 / 49
页数:7
相关论文
共 50 条
  • [31] Stochastic approximation of a simple neural network-type learning algorithm via computer simulation
    Ncube, I
    Campbell, SA
    Vrscay, ER
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2003, 10 (1-3): : 195 - 206
  • [32] A method combining genetic algorithm with simultaneous perturbation stochastic approximation for linearly constrained stochastic optimization problems
    Zhang Huajun
    Zhao Jin
    Luo Hui
    Journal of Combinatorial Optimization, 2016, 31 : 979 - 995
  • [33] A method combining genetic algorithm with simultaneous perturbation stochastic approximation for linearly constrained stochastic optimization problems
    Zhang Huajun
    Jin, Zhao
    Hui, Luo
    JOURNAL OF COMBINATORIAL OPTIMIZATION, 2016, 31 (03) : 979 - 995
  • [34] Production optimization of oil reservoirs based on an improved simultaneous perturbation stochastic approximation algorithm
    Zhao, Hui
    Cao, Lin
    Li, Yang
    Yao, Jun
    Shiyou Xuebao/Acta Petrolei Sinica, 2011, 32 (06): : 1031 - 1036
  • [35] Distributed Tracking via Simultaneous Perturbation Stochastic Approximation-based Consensus Algorithm
    Erofeeva, Victoria
    Granichin, Oleg
    Amelina, Natalia
    Ivanskiy, Yury
    Jiang, Yuming
    2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC), 2019, : 6050 - 6055
  • [36] Parameter estimation using simultaneous perturbation stochastic approximation
    Hirokami, T
    Maeda, Y
    Tsukada, H
    ELECTRICAL ENGINEERING IN JAPAN, 2006, 154 (02) : 30 - 39
  • [37] Global random optimization by simultaneous perturbation stochastic approximation
    Maryak, JL
    Chin, DC
    PROCEEDINGS OF THE 2001 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2001, : 756 - 762
  • [38] Convergence of simultaneous perturbation stochastic approximation for nondifferentiable optimization
    He, Y
    Fu, MC
    Marcus, SI
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (08) : 1459 - 1463
  • [39] Global random optimization by simultaneous perturbation stochastic approximation
    Maryak, JL
    Chin, DC
    PROCEEDINGS OF THE 2001 CONGRESS ON EVOLUTIONARY COMPUTATION, VOLS 1 AND 2, 2001, : 910 - 916
  • [40] Global random optimization by simultaneous perturbation stochastic approximation
    Maryak, John L.
    Chin, Daniel C.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (03) : 780 - 783