Mesh-based Nelder–Mead algorithm for inequality constrained optimization
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DOI: 10.1007/s10589-018-0016-0
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- C.J. Price & I.D. Coope & D. Byatt, 2002. "A Convergent Variant of the Nelder–Mead Algorithm," Journal of Optimization Theory and Applications, Springer, vol. 113(1), pages 5-19, April.
- Fuchang Gao & Lixing Han, 2012. "Implementing the Nelder-Mead simplex algorithm with adaptive parameters," Computational Optimization and Applications, Springer, vol. 51(1), pages 259-277, January.
- Chang, Kuo-Hao, 2012. "Stochastic Nelder–Mead simplex method – A new globally convergent direct search method for simulation optimization," European Journal of Operational Research, Elsevier, vol. 220(3), pages 684-694.
- Charles Audet & Michael Kokkolaras & Sébastien Le Digabel & Bastien Talgorn, 2018. "Order-based error for managing ensembles of surrogates in mesh adaptive direct search," Journal of Global Optimization, Springer, vol. 70(3), pages 645-675, March.
- I. D. Coope & C. J. Price, 2000. "Frame Based Methods for Unconstrained Optimization," Journal of Optimization Theory and Applications, Springer, vol. 107(2), pages 261-274, November.
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Cited by:
- Vladimir Prakht & Vladimir Dmitrievskii & Vadim Kazakbaev & Ekaterina Andriushchenko, 2021. "Comparison of Flux-Switching and Interior Permanent Magnet Synchronous Generators for Direct-Driven Wind Applications Based on Nelder–Mead Optimal Designing," Mathematics, MDPI, vol. 9(7), pages 1-16, March.
- Charles Audet & Jean Bigeon & Romain Couderc, 2021. "Combining Cross-Entropy and MADS Methods for Inequality Constrained Global Optimization," SN Operations Research Forum, Springer, vol. 2(3), pages 1-26, September.
- Neshat, Mehdi & Mirjalili, Seyedali & Sergiienko, Nataliia Y. & Esmaeilzadeh, Soheil & Amini, Erfan & Heydari, Azim & Garcia, Davide Astiaso, 2022. "Layout optimisation of offshore wave energy converters using a novel multi-swarm cooperative algorithm with backtracking strategy: A case study from coasts of Australia," Energy, Elsevier, vol. 239(PE).
- Vladimir Dmitrievskii & Vladimir Prakht & Vadim Kazakbaev & Sergey Sarapulov, 2018. "Optimal Design of a High-Speed Single-Phase Flux Reversal Motor for Vacuum Cleaners," Energies, MDPI, vol. 11(12), pages 1-13, November.
- Charles Audet & Edward Hallé-Hannan & Sébastien Le Digabel, 2023. "A General Mathematical Framework for Constrained Mixed-variable Blackbox Optimization Problems with Meta and Categorical Variables," SN Operations Research Forum, Springer, vol. 4(1), pages 1-37, March.
- Vladimir Dmitrievskii & Vladimir Prakht & Vadim Kazakbaev, 2019. "Design Optimization of a Permanent-Magnet Flux-Switching Generator for Direct-Drive Wind Turbines," Energies, MDPI, vol. 12(19), pages 1-15, September.
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Keywords
Nelder–Mead; MADS; Derivative-free optimization; Blackbox optimization; Constrained optimization;All these keywords.
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