Multicriteria analysis is a major area of research and applications in Operations Research and Management Science. We provide some useful links mainly about Analytical Hierarchy Process that is a common method in Decision Making. Other multicriteria methods include Goal programming and Electre method for ranking projects.
This is an article by Emilio Carrizosa, from the University of Seville, that addresses a general Goal Programming problem with linear objectives and analyzes it from a geometrical and a computational viewpoint.
Is there any organized way that one might think about determining the relative importance of the factors that influence a decision and then go about comparing alternative sites? One technique that is used is the Analytic Hierarchy Process (AHP), which uses very simple calculations to try to put numerical values on factors and alternatives. This site includes a case study that presents this technique.