| 同伦内点方法求解一类无界区域上的多目标规划问题 |
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| 引用本文： | 苏孟龙,吕显瑞.同伦内点方法求解一类无界区域上的多目标规划问题[J].吉林大学学报(理学版),2002,57(6):1367-1371. |
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| 作者姓名： | 苏孟龙 吕显瑞 |
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| 作者单位： | 1. 洛阳师范学院 数学学院, 河南 洛阳 471934; 2. 吉林大学 数学学院, 长春 130012 |
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| 摘 要： | 提出一种求解一类无界约束集上多目标规划问题的同伦内点方法. 先利用目标函数的Hessian矩阵构造一组无界性条件, 并给出满足该条件的一个简单实例; 再证明连接给定初始点KG*8]和多目标规划解点内路径的存在性; 最后给出同伦内点法的全局收敛性结果.
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| 关 键 词： | 多目标规划问题 同伦内点方法 无界性条件 |
| 收稿时间： | 2019-06-17 |
Homotopy Interior Point Method for Solving a Class ofMulti objective Programming Problems in Unbounded Regions |
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| SU Menglong,LV Xianrui.Homotopy Interior Point Method for Solving a Class ofMulti objective Programming Problems in Unbounded Regions[J].Journal of Jilin University: Sci Ed,2002,57(6):1367-1371. |
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| Authors: | SU Menglong LV Xianrui |
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| Institution: | 1. College of Mathematics, Luoyang Normal University, Luoyang 471934, Henan Province, China;
2. College of Mathematics, Jilin University, Changchun 130012, China
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| Abstract: | We proposed a homotopy interior point method for solving a class of the multi objective programming problemsin unbounded constrained sets. Firstly, by using the Hessian matrix of the objective function, we constructed a set of unboundedness conditions, and gave a simpleexample to illustrate these conditions. Secondly, we proved the existence of the interior path connecting a given initial point and a solution point of the multi objective programming problems. Finally, we gave the global convergence results of the homotopy interior point method. |
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| Keywords: | multi objective programming problem homotopy interior point method unboundedness condition |
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