doi: 10.7763/IJMO.2011.V1.1
Solving Multi-Object Programming Problems by Homotopy Inner Point Method under Quasi-Normal Cone Condition
He Li
,
Wang Xiu-yu
,
Jin Jian-lu
,
Liu Qing-huai
*
- Changchun University of Technology, Changchun 130012, P. R. China.
Abstract
This paper, we discussed a general multi-objective optimization problem under quasi-normal cone condition. we prove that for almost every point in the feasible region, a smooth and bounded homotopy path can be derived and that the algorithm converges to the K-K-T point of multi-objective programming problem. Numerical simulation confirmed the viability of this method.
Keywords
- multi-objective
- programming;
- homotopy
- method;
- global
- convergence
How to Cite
He Li, Wang Xiu-yu, Jin Jian-lu, and Liu Qing-huai, "Solving Multi-Object Programming Problems by Homotopy Inner Point Method under Quasi-Normal Cone Condition," International Journal of Modeling and Optimization, vol. 1, no. 1, pp. 1-6, 2011. https://doi.org/ 10.7763/IJMO.2011.V1.1
Copyright & License
Copyright © 2011 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).