An interactive multiobjective nonlinear programming procedure
M'silti, Abdelhalim; Tolla, Pierre (1993), An interactive multiobjective nonlinear programming procedure, European Journal of Operational Research, 64, 1, p. 115-125. http://dx.doi.org/10.1016/0377-2217(93)90012-C
TypeArticle accepté pour publication ou publié
Journal nameEuropean Journal of Operational Research
MetadataShow full item record
Abstract (EN)This paper develops a method for interactive MultiObjective NonLinear Programming procedure (MONLP). It provides a detailed description of an efficient algorithm, and reports on promising computational results. It also discusses several alternative strategies for implementing GRG code (Generalized Reduced Gradient), which is known as one of the ‘best’ methods for solving NonLinear optimization Problems (Abadie, 1978). The method relies on three steps: 1) generation of a subset of feasible efficient solutions; 2) interactive definition by Decision Maker (DM) of his preference structure according to desired outcome; 3) determination of a compromise solution using nonlinear optimization; a global analysis based on “reference point search procedure” is performed (in the criteria space). Following this methodology, it is possible for the DM to find his final solution. A microcomputer version (for medium problems) of the method is available.
Subjects / KeywordsNonlinear multiobjective programming; Interactive method
Showing items related by title and author.
An efficient procedure for finding best compromise solutions to the multi-objective assignment problem Belhoul, Lyes; Galand, Lucie; Vanderpooten, Daniel (2014) Article accepté pour publication ou publié
An interactive decision support system for an aggregate production planning model based on multiple criteria mixed integer linear programming Gomes da Silva, Carlos; Figueira, José; Lisboa, Joao; Barman, Samir (2006) Article accepté pour publication ou publié
Convergence of vertex-reinforced jump processes to an extension of the supersymmetric hyperbolic nonlinear sigma model Merkl, Franz; Rolles, Silke; Tarres, Pierre (2018) Article accepté pour publication ou publié