1 Operations Research, Department of Informatics and Mathematical Modeling, Technical University of Denmark2 Department of Informatics and Mathematical Modeling, Technical University of Denmark3 unknown4 Department of Management Engineering, Technical University of Denmark
Most facilities in today's technological society may be classified as semi-desirable. That is, the facility provides a benefit or service to society, while adversely affecting the quality of life or social values in a number of possible ways. The paper proposes a location model for a new semi-desirable facility which accounts for the service costs by a standard minisum objective with arbitrary travel distance function. The social costs are imputed by specifying around each demand point or population center a convex forbidden region, also defined by an arbitrary distance metric, in which the new facility may not be located. A general solution algorithm is suggested, and the methodology applied to circular forbidden regions and special travel distance functions.
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Institute of Mathematical Modelling, Technical University of Denmark, 1995