Algorithmic Design


1.  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


2.  A. L. Custódio and J. F. A. Madeira, GLODS: Global and Local Optimization using Direct Search, Journal of Global Optimization, 62 (2015) 1 - 28.


3. L. N. Vicente and A. L. Custódio, Analysis of direct searches for discontinuous functions, Mathematical Programming, 133 (2012), 299 - 325.


4.  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).


5. 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. The data profiles for the solvers NMSMAX and SID-PSM on the stochastic noisy test problems are slightly different from the true ones. Those corrected profiles can be found here (tau=10^-3 and tau=10^-7) and do not affect any of the conclusions of the paper.


6. 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.


7. 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.


8. 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 results)


9. 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.


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.


Engineering Applications


1. 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 (2018), published online.


2. 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.


3. N. Gouveia, A. Brás, A. Custódio, D. Faria and A. Ramos, Avaliação do comportamento de ligações laje-pilar em BRFA com aplicação de relações σ-w provenientes de análise inversa, FCT-UNL, Lisbon, Portugal, 2014 (technical report).


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.


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, 2011.




1. Aplicações de Derivadas Simplécticas em Métodos de Procura Directa, PhD. Thesis, New University of Lisbon, Lisbon, 2007, in Portuguese.


2. Um Sistema de Gestão Logística Integrando Gestão de Inventário e Construção de Rotas, Master Thesis, IST, Lisbon, 2001, in Portuguese.



 Last updated: 07-12-2018