Ali Shahabi - Department of Industrial Engineering, Mazandaran University of Science & Technology, Babol, Iran
Amin Vafadar Nikjoo
Mohammad Reza Kazemi

This paper deals with a bi-criteria model for locating single new facility on the plane where the effective service distance becomes a constant when the actual distance attains or exceeds a certain value. The criteria that are used in this bi-criteria model are minisum, that minimizes the sum of all the transportation costs and minimax, that minimizes the maximum distances from the new facility to the demand points. By using a mixed integer programming formulation, the model is transformed to an easier form, and then the technique of fuzzy programming has been applied to solve it. A numerical example is also presented to illustrate the procedure and then it has been solved by LINGO software.

Facility Location; Limited Distances; Multi-criteria Decision Making; Minisum & Minimax Problems; Fuzzy Programming