摘要
针对GMA(Generalized Mass Action)型色氨酸生物合成系统的双目标优化问题,提出了一种求解方法.首先给出色氨酸生物合成系统的GMA模型,然后构建色氨酸生物合成系统的双目标优化模型.为了求解前面构建的双目标优化问题,基于NBI方法给出了求解策略.为了克服NBI方法难以得到双目标优化问题全局Pareto解的不足,应用过滤算法去除经典NBI方法产生的非全局Pareto解.该过滤算法可以得到双目标优化问题的全局Pareto解.通过MATLAB计算,结果表明本文可以获得GMA型色氨酸生物合成系统双目标优化问题的Pareto最优解以及Pareto前沿,验证了所提方法的实用性和有效性.
A solution method is proposed for the bi-objective optimization of tryptophan biosynthesis system with a GMA(Generalized Mass Action)model.The GMA model for the tryptophan biosynthesis system is first presented.Then a bi-objective optimization model of tryptophan biosynthesis system is constructed.Based on the NBI method,a solution strategy is presented to solve the constructed bi-objective optimization problem.To overcome the difficulty of the NBI method in obtaining the global Pareto solutions of the bi-objective optimization problem,applying a filter algorithm to delete the non-global Pareto solutions obtained by the NBI method.This filter algorithm can obtain the global Pareto solutions of the bi-objective optimization problem.The results obtained by the MATLAB computation show that this paper can obtain the Pareto solutions and Pareto front for the bi-objective optimization problem of tryptophan biosynthesis system with a GMA model.This shows the practicality and effectiveness of the presented method.
作者
杜莹
吕东雪
邱添
徐恭贤
DU Ying;LV Dong-xue;QIU Tian;XU Gong-xian(College of Mathematics and Physics,Bohai University, Jinzhou 121013, China;Key Laboratory of Digital Publishing Big Data Mining Governance and Presentation Technology Standard,Bohai University, Jinzhou 121013,China)
出处
《渤海大学学报（自然科学版）》
CAS
2017年第4期341-347,共7页
Journal of Bohai University:Natural Science Edition
基金
国家自然科学基金项目(No:11101051)
辽宁省教育厅基本科研项目(No:LF2017002)
辽宁省自然科学基金项目(No:2015020038)
关键词
色氨酸系统
优化
双目标
GMA模型
tryptophan biosynthesis system
optimization
bi-objective
GMA model
