Article ID: | iaor19932412 |
Country: | United Kingdom |
Volume: | 1 |
Issue: | 3 |
Start Page Number: | 139 |
End Page Number: | 153 |
Publication Date: | Dec 1992 |
Journal: | Journal of Multi-Criteria Decision Analysis |
Authors: | Zionts S., Breslawski S.T. |
The Zionts-Wallenius algorithm for multiple-objective linear programming terminates with an extreme point solution that is locally but not necessary globally optimal. To find the globally optimal solution, a search along the facets of the solution space polyhedron may be required. In this paper the authors report the results of an experiment to determine how close the local and global optima are. They discuss the concept of closeness and propose one measure. Computer simulation is used to determine, in general, the quality of the solution found by the Zionts-Wallenius method for two types of non-linear utility functions. The merits of a search procedure are discussed in the context of the results.