Algorithm 909: NOMAD: Nonlinear Optimization with the MADS Algorithm. NOMAD is software that implements the Mesh Adaptive Direct Search (MADS) algorithm for blackbox optimization under general nonlinear constraints. Blackbox optimization is about optimizing functions that are usually given as costly programs with no derivative information and no function values returned for a significant number of calls attempted. NOMAD is designed for such problems and aims for the best possible solution with a small number of evaluations. The objective of this article is to describe the underlying algorithm, the software’s functionalities, and its implementation.

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  1. Boukouvala, Fani; Faruque Hasan, M.M.; Floudas, Christodoulos A.: Global optimization of general constrained grey-box models: new method and its application to constrained PDEs for pressure swing adsorption (2017)
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  3. Müller, Juliane; Woodbury, Joshua D.: GOSAC: global optimization with surrogate approximation of constraints (2017)
  4. Regis, Rommel G.; Wild, Stefan M.: CONORBIT: constrained optimization by radial basis function interpolation in trust regions (2017)
  5. Vu, Ky Khac; D’Ambrosio, Claudia; Hamadi, Youssef; Liberti, Leo: Surrogate-based methods for black-box optimization (2017)
  6. Armstrong, Jerawan C.; Favorite, Jeffrey A.: Using a derivative-free optimization method for multiple solutions of inverse transport problems (2016)
  7. Audet, Charles; Le Digabel, Sébastien; Tribes, Christophe: Dynamic scaling in the mesh adaptive direct search algorithm for blackbox optimization (2016)
  8. Beyhaghi, Pooriya; Bewley, Thomas R.: Delaunay-based derivative-free optimization via global surrogates. II: Convex constraints (2016)
  9. Bigdeli, K.; Hare, W.; Nutini, J.; Tesfamariam, S.: Optimizing damper connectors for adjacent buildings (2016)
  10. Boukouvala, Fani; Misener, Ruth; Floudas, Christodoulos A.: Global optimization advances in mixed-integer nonlinear programming, MINLP, and constrained derivative-free optimization, CDFO (2016)
  11. Csercsik, Dávid: Lying generators: manipulability of centralized payoff mechanisms in electrical energy trade (2016)
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  14. DuPont, Bryony; Cagan, Jonathan: A hybrid extended pattern search/genetic algorithm for multi-stage wind farm optimization (2016)
  15. Durantin, Cédric; Marzat, Julien; Balesdent, Mathieu: Analysis of multi-objective Kriging-based methods for constrained global optimization (2016)
  16. Fusi, F.; Congedo, P.M.: An adaptive strategy on the error of the objective functions for uncertainty-based derivative-free optimization (2016)
  17. Gheribi, Aïmen E.; Harvey, Jean-Philippe; Bélisle, Eve; Robelin, Christian; Chartrand, Patrice; Pelton, Arthur D.; Bale, Christopher W.; Le Digabel, Sébastien: Use of a biobjective direct search algorithm in the process design of material science applications (2016)
  18. Grapiglia, Geovani Nunes; Yuan, Jinyun; Yuan, Ya-xiang: A derivative-free trust-region algorithm for composite nonsmooth optimization (2016)
  19. Müller, Juliane: MISO: mixed-integer surrogate optimization framework (2016)
  20. Audet, Charles; Le Digabel, Sébastien; Peyrega, Mathilde: Linear equalities in blackbox optimization (2015)

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