Bi-criteria model for locating a semi-desirable facility on a plane using particle swarm optimization

The problem of locating a semi-desirable facility on a plane is considered. A bi-criteria model is used. One of the criteria is well known minimum criterion. The second criterion is a weighted sum of Euclidean distances raised to the power of negative one. This function represents the aggregate undesirable effects of the facility and it is also a minimization problem. The bi-criteria model consists of a linear combination of these two criteria. The proposed model solved by particle swarm optimization provides better results than a previously proposed heuristic.