| Article ID: | iaor2002450 |
| Country: | United States |
| Volume: | 107 |
| Issue: | 3 |
| Start Page Number: | 615 |
| End Page Number: | 626 |
| Publication Date: | Dec 2000 |
| Journal: | Journal of Optimization Theory and Applications |
| Authors: | Luc D.T., Thuan L.V. |
| Keywords: | programming: multiple criteria |
In this paper, we prove that, if the data of a linear multiobjective programming problem are smooth functions of a parameter, then in the parameter space there is an open dense subset where the efficient solution set of the problem can be locally represented as a union of some faces whose vertices and directions are smooth functions of the parameter.