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换热网络的函数逼近割平面全局最优化方法 被引量:4

CUTTING-PLANE METHOD WITH FUNCTION APPROXIMATION FOR GLOBAL OPTIMIZATION OF HEAT EXCHANGER NETWORKS
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摘要 本文针对于混合整数非线性规划问题的全局最优化的难点,提出了一种全新的全局最优化方法一函数逼近的割平面全局最优化技术:通过对优化变量的函数构建和逼近,根据目标函数代表的性能进行广义的平面切割,反复交替的操作缩小全局最优解的区间;同时,基于这种方法分析和提出了优化变量的序列生成方法。 In this paper, a new global optimization method is brought forward aiming at the difficult of mixed-integer nonlinear programming problem in global optimization research function approaching and cutting plane for global optimization method. Based on the objective function, Construct a new function and approximate the objective function through the optimization variables. cut the plane depending on the target function representative performance. Iterative operation, reduce the space of global optimization solution; at the same time, analyse this method and bring forward the method of the sequence of optimization variables.
出处 《工程热物理学报》 EI CAS CSCD 北大核心 2010年第6期995-997,共3页 Journal of Engineering Thermophysics
基金 教育部博士点基金(No.200802520007) 国家自然科学基金项目(No.200406011) 上海市重点学科建设项目(No.S30503)
关键词 函数逼近 割平面 全局优化 换热网络 function approximation cut plane global optimization heat exchanger network
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参考文献5

  • 1杨友麒,成思危.过程系统工程面临的挑战和发展趋势[J].化工进展,2002,21(8):527-535. 被引量:14
  • 2Floudas C A, A R Ciric, Grossman I E. Automatic Synthesis of Optimum Heat Exchanger Networks Configuration [J]. AICHE J., 1986, 32:276 290.
  • 3Westerlund T, Skrifvars H, Harjunkoski I, et al. An Extended Cutting Plane Method for a Class of Non-Convex MINLP Problems [J]. Computers and Chemical Engineering, 1998, 22:357 365.
  • 4Lee A, Grossmann I E. Global Optimization of Nonlinear Generalized Disjunctive Programming and Applications to Process Systems [J]. Computers and Chemical Engineering, 2001, 27:1557-1575.
  • 5Westerlund T, Skrifvars H, Harjunkoski I, et al. An Extended Cutting Plane Method for a Class of Non-Convex MINLP Problems [J]. Computers and Chemical Engineerzng, 1998, 22:357-365.

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