Tracing the Pareto frontier in bi-objective optimization problems by ODE techniques

DOI10.1007/s11075-010-9425-6zbMath1217.65110OpenAlexW2064017982MaRDI QIDQ542441

Hans Georg Bock, Filip Logist, Andreas Potschka, Jan F. Van Impe

Publication date: 10 June 2011

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://lirias.kuleuven.be/handle/123456789/281072

zbMATH Keywords

numerical integrationcontinuation methodPareto frontierbi-objective optimizationnormal boundary intersectiondeterministic multi-disciplinary optimizationnormalized normal constraint

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Multi-objective and goal programming (90C29)

Related Items (4)

Constructing the Pareto front for multi-objective Markov chains handling a strong Pareto policy approach ⋮ On continuation methods for non-linear bi-objective optimization: towards a certified interval-based approach ⋮ The directed search method for multi-objective memetic algorithms ⋮ Tracing Locally Pareto-Optimal Points by Numerical Integration

Uses Software

• Matlab
• NBI
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

• The normalized normal constraint method for generating the Pareto frontier
• Nonlinear multiobjective optimization
• The MATLAB ODE Suite
• Normal-Boundary Intersection: A New Method for Generating the Pareto Surface in Nonlinear Multicriteria Optimization Problems
• Introduction to Numerical Continuation Methods
• On a Bicriterion Formulation of the Problems of Integrated System Identification and System Optimization
• Generalized homotopy approach to multiobjective optimization.

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