Promethee V: Mcdm Problems With Segmentation Constraints

Abstract

Multicriteria problems with a finite set of possible alternatives grouped in clusters or segments are considered. The problem is to select a subset of alternatives evaluated by several criteria and submitted to segmentation constraints between and within the clusters. The basic PROMETHEE-GAIA procedure for multicriteria problems is first briefly recalled. This procedure provides the decisionmaker with good compromises as well as an interesting visual descriptive view of the multicriteria problem; but, up to now, it doesn’t take the segmentation constraints into account. PROMETHEE V is combining the results obtained by the basic PROMETHEE-GAIA procedure and a partiaular (0–1) Linear Program in order to integrate these constraints. An application is described. An efficient microcomputer software is available from the authors.

Résumé

Des problèmes multicritères impliquant un nombre fini de décisions faisant partie de groupes ou de segments sont considérés. Chaque décision est évaluée selon plusieurs critères. Le problème est de sélectionner un sous-ensemble de décisions vérifiant des contraintes de segmentation à l’intérieur et entre les segments. La méthodologie PROMETHEE-GALA. est d’abord rapidement rappelée. Celle-ci permet au décideur d’obtenir une vision normative (PROMETHEE) et une vision graphique (GAIA) des bons compromis. PROMETHEE V permet de combiner les résultats obtenus par la méthodologie PROMETHEE-GAIA et un programme linéaire en variables (0–1) afin de tenir compte des contraintes de segmentation. Une application est décrite en détail. Un logiciel efficace et très convivial pour micro-ordinateur peut âtre obtenu auprès des auteurs.

Additional information

Notes on contributors

J. Pierre Brans

Jean-Pierre Brans Born in Belgium on July 8, 1937. Diplomas: Graduate degree in Mathematics in 1959, Certificate of O.R. in 1960, Actuarial Sciences in 1964, Ph.D. in Mathematics in 1966. Since 1966, Professor of Statistics, Operations Research and Computer Sciences at the VUB and ULB Universities of Brussels. Organiser and Chairman of EURO I, first European Conference on O.R., Brussels, 1975. Chairman, Programme Committee EURO IV Conference, Cambridge, England, 1981. President of EURO, European Association of O.R. Societies, 1983–84. Vice President of IFORS, International Federation of O.R. Societies, 1977–80 and 1989–92. Organisor and Chairman of IFORS — SPC 1, the first specialised conference organised by IFORS, theme: Decision Support Systems, Bruges, 1991. Visiting professor in Zaire (1973–78), in Algeria (1975–84) and in Aix en Provence, France (1991).

Bertrand Mareschal

Bertrand Mareschal Born in Brussels in 1962. Graduated in Mathematics from Universite Libre de Bruxelles in 1983. Graduated in Actuarial Science from Université Libre de Bruxelles in 1986. Doctorat en Sciences from Université Libre de Bruxelles in 1989. Currently assistant at the Solvay Business School, Université Libre de Bruxelles. Main research in the field of multicriteria decision making, group decision making, forecasting and decision support systems.