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Application of the Method of Ordinary DifferentialEquations in Multiobjective Programming
引用本文:Zhou Zongfang,Duan Yurong. Application of the Method of Ordinary DifferentialEquations in Multiobjective Programming[J]. 保鲜与加工, 1995, 0(3): 97-100
作者姓名:Zhou Zongfang  Duan Yurong
作者单位:Zhou Zongfang;Duan Yurong
摘    要:In the author's previous works,a methed of ordinary differential equations forsolving multiobjective programming problem had been presented. In this paper, we further use ordi-nary differential equatfons to discuss the general multiobjective programming Problem and its con-straints more deeply. Under certain conditions, starting from some neibourhood of any feasible solu-tion of multiobjective programming problem, along the trajectory of the established system of ordi-nary differential equations,the solution is always conversent to the(weak)efficient solution of theoriginal multiobjective programming problem with respect to partial arguments.

关 键 词:multiobjective programming  constraints  feasible solution  efficient solution  ordinary differential equations  

Application of the Method of Ordinary DifferentialEquations in Multiobjective Programming
Zhou Zongfang,Duan Yurong. Application of the Method of Ordinary DifferentialEquations in Multiobjective Programming[J]. Storage & Process, 1995, 0(3): 97-100
Authors:Zhou Zongfang  Duan Yurong
Affiliation:Zhou Zongfang;Duan Yurong
Abstract:In the author's previous works,a methed of ordinary differential equations forsolving multiobjective programming problem had been presented. In this paper, we further use ordi-nary differential equatfons to discuss the general multiobjective programming Problem and its con-straints more deeply. Under certain conditions, starting from some neibourhood of any feasible solu-tion of multiobjective programming problem, along the trajectory of the established system of ordi-nary differential equations,the solution is always conversent to the(weak)efficient solution of theoriginal multiobjective programming problem with respect to partial arguments.
Keywords:multiobjective programming  constraints  feasible solution  efficient solution  ordinary differential equations  
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