Article ID: | iaor20052265 |
Country: | Netherlands |
Volume: | 157 |
Issue: | 2 |
Start Page Number: | 398 |
End Page Number: | 408 |
Publication Date: | Sep 2004 |
Journal: | European Journal of Operational Research |
Authors: | Ozdemir Mujgan S., Gasimov Rafail N. |
Keywords: | programming: assignment, programming: integer, analytic hierarchy process |
This paper gives a general model for the faculty course assignment problem that is a zero–one nonlinear multiobjective programming problem. Because of the nonconvexity of the problem, simple weighting scalarization does not guarantee finding all Pareto-optimal solutions. Therefore, a newly developed three step process consisting of the Analytic Hierarchy Process, scalarization and the subgradient method is provided to deal with the problem. This approach is used to solve a nonconvex multiobjective faculty course assignment problem for the first time. A real life application is included.