Genetic Algorithm for Mixed Integer Nonlinear Programming Problems Using Separate Constraint Approximations

Vladimir B. Gantovnik; Zafer Guerdal; Layne T. Watson; Christine M. Anderson-Cook

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Genetic Algorithm for Mixed Integer Nonlinear Programming Problems Using Separate Constraint Approximations

机译：基于单独约束近似的混合整数非线性规划问题的遗传算法

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A new approach is described for reducing the number of the fitness and constraint function evaluations required by a genetic algorithm (GA) for optimization problems with mixed continuous and discrete design variables. The proposed additions to the GA make the search more effective and rapidly improve the fitness value from generation to generation. The additions involve memory as a function of both discrete and continuous design variables and multivariate approximation of the individual functions' responses in terms of several continuous design variables. The approximation is demonstrated for the minimum weight design of a composite cylindrical shell with grid stiffeners.

机译：描述了一种新方法，用于减少遗传算法（GA）对具有连续和离散混合设计变量的优化问题所要求的适应度和约束函数评估数量。 GA的拟议增加功能使搜索更加有效，并且一代又一代地迅速提高了适用性。增加的内容涉及作为离散和连续设计变量的函数的存储器，以及根据几个连续设计变量对各个函数的响应进行多元近似。该近似值表明了具有格栅加劲肋的复合圆柱壳的最小重量设计。

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来源
《AIAA Journal》 |2005年第8期|p.1844-1849|共6页
作者
Vladimir B. Gantovnik; Zafer Guerdal; Layne T. Watson; Christine M. Anderson-Cook;
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作者单位

Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类航空、航天;航空;
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专利

1. Outer approximation algorithms for separable nonconvex mixed-integer nonlinear programs [J] . Kesavan P, Allgor RJ, Gatzke EP, Mathematical Programming . 2004,第3期

机译：可分离的非凸混合整数非线性程序的外部逼近算法
2. Outer approximation algorithms for separable nonconvex mixed-integer nonlinear programs [J] . Padmanaban Kesavan, Russell J. Allgor, Edward P. Gatzke, Mathematical Programming . 2004,第3期

机译：可分离非凸混合整数非线性程序的外逼近算法
3. A Mixed Coding Scheme of a Particle Swarm Optimization and a Hybrid Genetic Algorithm with Sequential Quadratic Programming for Mixed Integer Nonlinear Programming in Common Chemical Engineering Practice [J] . Chanthasuwannasin Manatsanan, Kottititum Bundit, Srinophakun Thongchai Chemical Engineering Communications . 2017,第7a9期

机译：一种粒子群优化和混合遗传算法的混合遗传算法，具有续集整数非线性规划中常见化学工程实践的序贯二次编程
4. A Genetic Algorithm for Mixed Nonlinear Programming Problems Using Separate Constraint Approximations [C] . V. Gantovnik, Z. Gurdal, L. Watson, 44th AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conference ; 11th AIAA/ASME/AHS Adaptive Structures Conference ; 5th AIAA Non-Deterministic Approaches Forum ; 4th AIAA Gossamer Spacecraft Forum ; AIAA Dynamics Specialists Conference . 2003

机译：基于单独约束近似的混合非线性规划问题的遗传算法
5. Disjunctive cutting planes and algorithms for convex Mixed Integer Nonlinear Programming. [D] . Kilinc, Mustafa Rasim. 2011

机译：凸混合整数非线性规划的分离剖切面和算法。
6. Calculating the Mean Amplitude of Glycemic Excursions from Continuous Glucose Data Using an Open-Code Programmable Algorithm Based on the Integer Nonlinear Method [O] . Xuefei Yu, Liangzhuo Lin, Jie Shen, 2018

机译：使用基于整数非线性方法的开放代码可编程算法从连续葡萄糖数据中计算血糖波动的平均幅度
7. A Genetic Algorithm for Mixed Integer Nonlinear Programming Problems Using Separate Constraint Approximations [O] . Gantovnik Vladimir B., Gurdal Zafer, Watson Layne T., 2003

机译：基于分离约束近似的混合整数非线性规划问题的遗传算法

Genetic Algorithm for Mixed Integer Nonlinear Programming Problems Using Separate Constraint Approximations

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