摘要
本文对多目标二次规划问题非劣解集的理论生成进行了探讨,在介绍二次规划单目标问题优化解求法的基础上,提出了在决策平面上互切点,共交点轨迹的概念.由此导出了非劣解集的一般解析式(对切点解问题)和另一类交点解问题时的非劣解集求法,然后介绍了在目标平面非劣解集的解析表达式.使多目标二次规划问题整个非劣解集的推求严格、明确和方便,有理论和实际意义。文中以一个综合利用水库参数的多目标优选作为例子阐述了应用,并求出了最终的最佳协调解.
In the paper a method of generating the whole non-inferior set for mulsiobjective quadratic programming(QP)is studied.First,the method of finding the optimized solution for a single-purposed quadratic programming is briefly explained.Then a new concept of the locus of tac-point and the locns of common intersection point is introduces From this,the derivation of a generized analyfical solution of the non-inferior set for Qp (in case of tangent-point solution)is presented,as well as the complete solution of it is the intersecting—point solution case. Afterwards,the analytical expressions of the non-inferior solufion set in the objective plan is presented All these make the obtained complete solution of a multiobjective QP,no only theoreticolly strict,but also clear and convenient.Hence the proposed method possesse both the theoretical and practical meaning. At the end of the paper an illustractive example in the field of water recources planning is introduced,wlich shows how efficient the abave-mentioacd theoreticel results can be used in solving the practical problem,and how the final optimal coordinating solution is to be obtained
出处
《水电能源科学》
北大核心
1991年第2期102-110,共9页
Water Resources and Power
基金
本文系高等学校博士学科研点基金资助课题研究成果
关键词
多目标规划
非劣解集
二次规划
multiobjective programming
noninferior set
quadratic programming
analytical solution
