Article ID: | iaor20051548 |
Country: | Netherlands |
Volume: | 153 |
Issue: | 2 |
Start Page Number: | 271 |
End Page Number: | 289 |
Publication Date: | Mar 2004 |
Journal: | European Journal of Operational Research |
Authors: | Costa Joo Paulo, Loureno Rui Pedro |
Keywords: | programming: integer |
Several interactive methods exist to identify nondominated solutions in a Multiple Objective Mixed Integer Linear Program. But what if the Decision Maker is also interested in sorting those solutions (assigning them to pre-established ordinal categories)? We propose an interactive “branch-and-bound like” technique to progressively build the nondominated set, combined with ELECTRE TRI method (Pessimistic procedure) to sort identified nondominated solutions. A disaggregation approach is considered in order to avoid direct definition of all ELECTRE TRI preference parameters. Weight-importance coefficients are inferred and category reference profiles are determined based on assignment examples provided by the Decision Maker. A computation tool was developed with a twofold purpose: support the Decision Maker involved in a decision process and provide a test bed for research purposes.