A bicriteria model for locating a semi-desirable facility in the plane

A bicriteria model was developed to address the problem of locating a partly desirable facility in the plane. Through the use of the model, which reduces the two criteria's weighted sum, an approach designed to identify the efficient frontier of facility locations was obtained. The model's first criterion, the minisum criterion, intends to lessen the weighted sum of Euclidean distances raised to a negative power.