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Aiding judgements With a number of standards: Essays in Honor of BernardRoy is prepared round huge subject matters:
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Additional info for Aiding Decisions with Multiple Criteria: Essays in Honor of Bernard Roy
Tl . L = t. A further extension to the maximum capacity path can be made by starting from a matrix C = (Chk) where Chk is the capacity of arc (Xh' Xk) if it exists and 0 otherwise. The capacity of a path is defined as the smallest capacity of its arcs. 7i is defined by Ti . C = (Chk) with Chk:= max (chk,min(chi,Cik))' A similar formula gives the maximum reliability path by starting from R = (rhk) where rhk is the reliability of arc (Xh' Xk) if it exists and 0 otherwise. The reliability of a path is defined as the product of the reliabilities of its arcs.
42 AIDING DECISIONS WITH MULTIPLE CRITERIA Roy, B. (1959a). Contribution de la theorie des graphes al'etude de certains problemes lineaires. C. R. Acad. Sci. Paris 248:2437-2439. Roy, B. (1959b). Transitivite et connexite. C. R. Acad. Sci. Paris 249:216-218. Roy, B. (1962). Cheminement et connexite dans les graphes: application aux problemes d'ordonnancement. METRA Serie Speciale No 1 (Mai 1962). Roy, B. (1967). Nombre chromatique et plus long chemins d'un graphe. Rev. Info. et Rech. Oper 5:129-132.
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