| Abstract |
: |
Recent results in Operational Research have provided decision makers with a highly adaptable tool
that is able to quickly synthesize the performance measures of several solutions to be compared in a lim-
ited time. In the context of multicriteria limited-time decision making problems, two of the authors have
developed hybrid models composed of two mathematical models, a set of dedicated heuristics, a stochastic
local search, meta-heuristic and a simulation model. According to the decision makers, the solutions are
ranked on the basis of several criteria whose importance determines this ranking. A multicriteria method
is incoporated into the hybrid. In order to summarize the huge amount of resulting data/information,
we have embeded the Promethee II multicriteria method and the GAIA plane. This extension requires
to compute eigenelements on the output produced by Promethee. Eigenelement computation is proposed
here in two steps: 1) Get some rough approximation to the desired part of the spectrum and the cor-
responding maximal invariant subspace, and 2) Refine this approximation with an iterative scheme. A
Newton-based scheme is proposed in this paper and applied to a matrix issued from the Promethee-Gaia
method. |
