English

应用科学学报 ›› 1999, Vol. 17 ›› Issue (4): 479-484.

• 论文 • 上一篇    下一篇

稳态大系统多目标优化的双环递阶算法

钱富才1, 刘丁1, 万百五2   

  1. 1. 西安理工大学;
    2. 西安交通大学
  • 收稿日期:1997-11-02 修回日期:1998-02-15 出版日期:1999-12-31 发布日期:1999-12-31
  • 基金资助:
    国家自然科学基金资助项目

Double Loop Hierarchical Algorithm for Multi objective Optimization Problems of Steady-state Large Scale Systems

QIAN FUCAI1, LIU DING1, WAN BAIWU2   

  1. 1. Xi'an University of Science and Technology, Xi'an 710049;
    2. Institute of Systems Engineering, Xi'an Jiaotong University, Xi'an 710049
  • Received:1997-11-02 Revised:1998-02-15 Online:1999-12-31 Published:1999-12-31

PDF

64

被引次数

6

摘要： 对于稳态大规模工业系统,提出了一种能够充分满足决策者的偏好克服目标函数不可分性的双环迭代算法.该算法首先根据决策人员的偏好把多目标问题聚集为不可分的单目标优化问题,再嵌入到可分的多目标优化问题中,然后从多目标的非劣解集中挑出不可分单目标的最优解,并证明了该最优解就是原问题的非劣解,算法的收敛性也有严格的数学保证.

关键词: 稳态大系统, 多目标优化, 关联平衡法

Abstract: This paper proposes a double-loop hierarchical algorithm for multiple objectives optimization.First,the algorithm assembles the multiple objectives into one objective by the preference of decision-maker,and then em beds the nonseparable one objective optimization problem into separable multiobjective optimization problem.Finally,the optimal solution of the nonseparable problem can be obtained from the set of solutions of the separable multiobjective optimization problem,this optimal solution is provided as one non-inferior solution of the original problem.

Key words: multi objective optimization, interaction balance method, large scale steady state systems