International Journal of Mathematics and Mathematical Sciences
Volume 25 (2001), Issue 9, Pages 621-628
doi:10.1155/S0161171201002721
Sensitivity analysis for parametric vector optimization problems using differential equations approach
Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt
Received 11 September 1998
Copyright © 2001 Fatma M. Ali. 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.
Abstract
A new method for obtaining sensitivity information for parametric
vector optimization problems (VOP)v is presented,
where the parameters in the objective functions and anywhere in
the constraints. This method depends on using differential
equations technique for solving multiobjective nonlinear
programing problems which is very effective in finding many local
Pareto optimal solutions. The behavior of the local solutions for
slight perturbation of the parameters in the neighborhood of
their chosen initial values is presented by using the technique
of trajectory continuation. Finally some examples are given to
show the efficiency of the proposed method.