By Jacques Lesourne (auth.), Denis Bouyssou, Eric Jacquet-Lagrèze, Patrice Perny, Roman Słowiński, Daniel Vanderpooten, Philippe Vincke (eds.)
Aiding judgements With a number of standards: Essays in Honor of BernardRoy is geared up round vast topics:
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Additional resources for Aiding Decisions with Multiple Criteria: Essays in Honor of Bernard Roy
Roy (1962). Here we may consider the graph G as associated to a chromatic scheduling problem as follows: The nodes correspond to jobs with equal processing times, say 1. An arc (x, y) means that job x must precede job y. There is a one-to-one correspondence between k-colorings of G and feasible schedules in k time units where each job starts at some integer time. The k-colorings satisfying (a)-(d) are precisely schedules squeezed to the left: according to (b), if a job x is scheduled at period c(x) = h, it is because all jobs in Sl, S2,'" ,Sh-1 need h - 1 periods and x cannot be scheduled in a period i ~ h - 1.
Bernard became then the head of the application of multicriteria methods to establish, out of the bundle of offers, the group's research program. A serious task which required openness, diplomacy and an aptitude to be accepted by the representatives of all the sectors. Bernard perfectly assured this responsibility. Some of the projects were achieved magnificently, as for instance one on the internal staff relations in a hospital, but the practical results were uneven, the efforts made to reduce the group's expenditures modifying constantly the organization and diminishing the central costs.
Linear algebra in dioids: a survey of recent results. Ann. of Discrete Mathematics 19:147-164. , and Minoux, M. (1997). Valeurs propres et fonctions propres d'endomorphismes a diagonale dominante en analyse Min-Max. C. R. Acad. Sci. Paris 325: 1287-1290. , and Nguyen, S. (1977). APOSS. A partial order in the solution space of bivalent problems. In: Modern trends in cybernetics and systems. Proc. Third Internat. congr. Bucharest, 1975. Springer, Berlin, pp. 869-883. Hansen, P. (1976/77). A cascade algorithm for the logical closure of a set of binary relations.
Aiding Decisions with Multiple Criteria: Essays in Honor of Bernard Roy by Jacques Lesourne (auth.), Denis Bouyssou, Eric Jacquet-Lagrèze, Patrice Perny, Roman Słowiński, Daniel Vanderpooten, Philippe Vincke (eds.)