Multi-Objective Control-Structure Optimization via Homotopy Methods

DOI10.1137/0803033zbMath0787.65037OpenAlexW2058132294MaRDI QIDQ3140011

Raphael T. Haftka, Joanna Rakowska, Layne T. Watson

Publication date: 6 December 1993

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0803033

zbMATH Keywords

numerical examplehomotopy algorithmactive set strategybi-objective optimization problemsKuhn-Tucker points

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Multi-objective and goal programming (90C29) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20)

Related Items (8)

Constructing the Pareto front for multi-objective Markov chains handling a strong Pareto policy approach ⋮ On improving normal boundary intersection method for generation of Pareto frontier ⋮ On continuation methods for non-linear bi-objective optimization: towards a certified interval-based approach ⋮ Equispaced Pareto front construction for constrained bi-objective optimization ⋮ Solving the Pareto front for multiobjective Markov chains using the minimum Euclidean distance gradient-based optimization method ⋮ Integrated design of structural and control systems with a homotopy like iterative method ⋮ \texttt{PAINT-SICon}: constructing consistent parametric representations of Pareto sets in nonconvex multiobjective optimization ⋮ Using the Manhattan distance for computing the multiobjective Markov chains problem

Uses Software

• HOMPACK

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