Title :
Finding exact solutions for multi-objective optimisation problems using a symbolic algorithm
Author :
Askar, S.S. ; Tiwari, A.
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.
Keywords :
Pareto optimisation; Pareto optimal solutions; convex functions; dual Lagrange multipliers; multi-objective optimisation problems; pseudoconvex; symbolic algorithm; Algorithm design and analysis; Differential equations; IEEE members; Lagrangian functions; Manufacturing; Mathematical programming; Mathematics; Pareto analysis; Stability criteria; Testing;
Conference_Titel :
Evolutionary Computation, 2009. CEC '09. IEEE Congress on
Conference_Location :
Trondheim
Print_ISBN :
978-1-4244-2958-5
Electronic_ISBN :
978-1-4244-2959-2
DOI :
10.1109/CEC.2009.4982926
