Litcius/Paper detail

MVMOO: Mixed variable multi-objective optimisation

Jamie A. Manson, Thomas W. Chamberlain, Richard A. Bourne

2021Journal of Global Optimization44 citationsDOIOpen Access PDF

Abstract

Abstract In many real-world problems there is often the requirement to optimise multiple conflicting objectives in an efficient manner. In such problems there can be the requirement to optimise a mixture of continuous and discrete variables. Herein, we propose a new multi-objective algorithm capable of optimising both continuous and discrete bounded variables in an efficient manner. The algorithm utilises Gaussian processes as surrogates in combination with a novel distance metric based upon Gower similarity. The MVMOO algorithm was compared to an existing mixed variable implementation of NSGA-II and random sampling for three test problems. MVMOO shows competitive performance on all proposed problems with efficient data acquisition and approximation of the Pareto fronts for the selected test problems.

Topics & Concepts

MathematicsMathematical optimizationMetric (unit)Bounded functionSampling (signal processing)Variable (mathematics)Continuous variableSimilarity (geometry)Pareto principleRandom variableVariable neighborhood searchGaussianMulti-objective optimizationAlgorithmComputer scienceArtificial intelligenceStatisticsMetaheuristicEconomicsOperations managementImage (mathematics)Filter (signal processing)Quantum mechanicsPhysicsComputer visionMathematical analysisAdvanced Multi-Objective Optimization AlgorithmsGaussian Processes and Bayesian InferenceAdvanced Control Systems Optimization