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Finding Exact Solutions for Multi-Objective Optimisation Problems using a Symbolic Algorithm
Conference proceeding   Peer reviewed

Finding Exact Solutions for Multi-Objective Optimisation Problems using a Symbolic Algorithm

S. S. Askar, A. Tiwari and IEEE
2009 IEEE CONGRESS ON EVOLUTIONARY COMPUTATION, VOLS 1-5, pp.24-30
IEEE Congress on Evolutionary Computation
01/01/2009
DOI: https://doi.org/10.1109/CEC.2009.4982926

Abstract

Computer Science Computer Science, Artificial Intelligence Computer Science, Interdisciplinary Applications Engineering Engineering, Multidisciplinary Science & Technology Technology
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.

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