Finding exact solutions for multi-objective optimisation problems using a symbolic algorithm

Authors:
S. S. Askar;A. Tiwari
Affiliations:
Manufacturing Department, Cranfield University, UK and Applied Mathematics, Mansoura University, Egypt;Department of Manufacturing, Cranfield University, UK
Venue:
CEC'09 Proceedings of the Eleventh conference on Congress on Evolutionary Computation
Year:
2009

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Abstract

A new symbolic algorithm for multi-objective optimisation problems is proposed. It finds Pareto optimal solutions as equations of the dual Lagrange multipliers for continuous, differentiable, pseudoconvex, and convex functions. The algorithm is able to find the relationship between the decision variables that form the exact curve of the Pareto front.