These are post-peer-review, pre-copyedit versions of articles published in journals. The final authenticated versions are available through the cited publication.

Algorithmic Design

  1. A. Mohammadi and A. L. Custódio, A trust region approach for computing Pareto fronts in Multiobjective Optimization (2022, submitted) PDF
  2. A. L. Custódio, E. H. M. Krulikovski, and M. Raydan, A hybrid direct search and projected simplex gradient method for convex constrained minimization (2022; submitted) PDF
  3. A. L. Custódio, R. Garmanjani, and M. Raydan, Derivative-free separable quadratic modeling and cubic regularization for unconstrained optimization (2021; submitted) PDF
  4. S. Tavares, C. P. Brás, A. L. Custódio, V. Duarte, and P. Medeiros, Parallel strategies for Direct Multisearch, doi: 10.1007/s11075-022-01364-1 (2022; online published in Numerical Algorithms) PDF
  5. R. Andreani, A. L. Custódio, and M. Raydan, Using first-order information in Direct Multisearch for multiobjective optimization, doi: 10.1080/10556788.2022.2060971 (2022; online published in Optimization Methods and Software) PDF
  6. A. L. Custódio, Y. Diouane, R. Garmanjani, and E. Riccietti, Worst-case complexity bounds of directional direct-search for multiobjective derivative-free optimization, Journal of Optimization Theory and Applications, 188 (2021) 73 - 93 PDF
  7. C. P. Brás and A. L. Custódio, On the use of polynomial models in multiobjective directional direct search, Computational Optimization and Applications, 77 (2020) 897-918 PDF
  8. R. G. Begiato, A. L. Custódio, and M. A. Gomes-Ruggiero, A global hybrid derivative-free method for high-dimensional systems of nonlinear equations, Computational Optimization and Applications, 75 (2020), 93 - 112. PDF
  9. A. L. Custódio and J. F. A. Madeira, MultiGLODS: Global and Local Multiobjective Optimization using Direct Search, Journal of Global Optimization, 72 (2018), 323 - 345. PDF
  10. A. L. Custódio and J. F. A. Madeira, GLODS: Global and Local Optimization using Direct Search, Journal of Global Optimization, 62 (2015) 1 - 28. PDF
  11. L. N. Vicente and A. L. Custódio, Analysis of direct searches for discontinuous functions, Mathematical Programming, 133 (2012), 299 - 325. PDF
  12. A. L. Custódio, J. F. A. Madeira, A. I. F. Vaz and L. N. Vicente, Direct Multisearch for Multiobjective Optimization, SIAM Journal on Optimization, 21 (2011), 1109 - 1140 (there is an errata for the published version). PDF
  13. A. L. Custódio, H. Rocha, and L. N. Vicente, Incorporating Minimum Frobenius Norm Models in Direct Search, Computational Optimization and Applications 46 (2010), 265 - 278. PDF
  14. A. L. Custódio, J. E. Dennis Jr. and L. N. Vicente, Using Simplex Gradients of Nonsmooth Functions in Direct Search Methods, IMA Journal of Numerical Analysis 28 (2008), 770 - 784. PDF
  15. C. Audet, A. L. Custódio and J. E. Dennis Jr., Erratum: Mesh Adaptive Direct Search Algorithms for Constrained Optimization, SIAM Journal on Optimization, 18 (2008) 1501 - 1503. PDF
  16. A. L. Custódio and L. N. Vicente, Using Sampling and Simplex Derivatives in Pattern Search Methods, SIAM Journal on Optimization, 18 (2007) 537 - 555. (complete numerical resultsPDF
  17. A. L. Custódio and R. C. Oliveira, Re-designing distribution operations: A case study on integrating inventory management and vehicle routes design, International Journal of Logistics Research and Applications, 9 (2006) 169 - 187.


  1. A. L. Custódio, K. Scheinberg, and L. N. Vicente, Methodologies and software for derivative-free optimization, Chapter 37 of Advances and Trends in Optimization with Engineering Applications (2017), T. Terlaky, M. F. Anjos, and S. Ahmed (editors), MOS-SIAM Book Series on Optimization, SIAM, Philadelphia. PDF
  2. A. L. Custódio, M. Emmerich, and J. F. A. Madeira, Recent Developments in Derivative-free Multiobjective Optimization, Computational Technology Reviews, 5 (2012), B. H. V. Topping (editor), Saxe-Coburg Publications, 1 - 30. PDF

Engineering Applications

  1. A. L. Custódio, M. A. Fortes, A. M. Sajo-Castelli, Filling holes under non-linear constraints (2022; submitted) PDF
  2. J. V. Morais, A. L. Custódio, G. M. Marques, Calibration of parameters in Dynamic Energy Budget models using Direct-Search methods, Journal of Mathematical Biology, 78 (2019) 1439 - 1458. PDF
  3. Sofia D. Karamintziou, Ana Luísa Custódio, Brigitte Piallat, Mircea Polosan, Stéphan Chabardès, Pantelis G. Stathis, George A. Tagaris, Damianos E. Sakas, Georgia E. Polychronaki, George L. Tsirogiannis, Olivier David and Konstantina S. Nikita, Algorithmic design of a noise-resistant and efficient closed-loop deep brain stimulation system: a computational approach, PLoS ONE, 12 (2017), e0171458, 1 – 26.
  4. N. D. Gouveia, A. L. Custódio, D. M. Faria and A. P. Ramos, Determinação de relações tensão-abertura de fenda de BRFA através de análise inversa, Proceedings of the 9º Congresso Nacional de Mecânica Experimental, Aveiro, Portugal, 2014. PDF
  5. J. B. Cardoso, P. G. Coelho, and A. L. Custódio, Parallel Direct Search in Structural Optimization, in P. Iványi, B.H.V. Topping, (Editors), Proceedings of the Second International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering, Civil-Comp Press, Stirlingshire, UK, Paper 48, 2011PDF


  1. Aplicações de Derivadas Simplécticas em Métodos de Procura Directa, PhD. Thesis, New University of Lisbon, Lisbon, 2007, in Portuguese. PDF
  2. Um Sistema de Gestão Logística Integrando Gestão de Inventário e Construção de Rotas, Master Thesis, IST, Lisbon, 2001, in Portuguese. PDF

Last updated: 06-05-2021