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非线性多目标最优化算法─—广义ZW算法原理
引用本文:张雄,周济.非线性多目标最优化算法─—广义ZW算法原理[J].华中科技大学学报(自然科学版),1994(9).
作者姓名:张雄  周济
作者单位:华中理工大学机械工程学院
摘    要:系统地讨论了非线性多目标最优化算法─—广义ZW法,它是Zionts-wallenius(ZW)法的改进和推广,使得ZW方法能够有效地解决具有凹目标与价值函数,以及凸可行域的非线性多目标最优化问题。

关 键 词:数学规划  多目标最优化  交互式算法  价值函数

The Principle of a Generalized ZW Algorithm for Nonlinear Multi-Objective Optimization
Zhang Xiong, Zhou Ji.The Principle of a Generalized ZW Algorithm for Nonlinear Multi-Objective Optimization[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1994(9).
Authors:Zhang Xiong  Zhou Ji
Institution:Zhang Xiong; Zhou Ji
Abstract:An extension and modification of Zionts-Wallenius linear nulti-objective programming approach ,the generalized ZW algorithm ,as an interactive algorithm for multi-objective opti-mization,is described. It can be used for solving multi-objective problems with a concave ob-iective and cost functions and a convex feasible region, The program of the algorithm is writ-ten in ANSIC language and has been successfully run on IBM P/IAT-286 and 386 machines.
Keywords:mathematical programming  multi-objective optimization  interactive method  cost function
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