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DFL

swMATH ID:	5163
Software Authors:	Liuzzi, G.; Lucidi, S.; Rinaldi, F.
Description:	Derivative-free methods for bound constrained mixed-integer optimization We consider the problem of minimizing a continuously differentiable function of several variables subject to simple bound constraints where some of the variables are restricted to take integer values. We assume that the first order derivatives of the objective function can be neither calculated nor approximated explicitly. This class of mixed integer nonlinear optimization problems arises frequently in many industrial and scientific applications and this motivates the increasing interest in the study of derivative-free methods for their solution. The continuous variables are handled by a linesearch strategy whereas to tackle the discrete ones we employ a local search-type approach. We propose different algorithms which are characterized by the way the current iterate is updated and by the stationarity conditions satisfied by the limit points of the sequences they produce.
Homepage:	http://www.iasi.cnr.it/~liuzzi/DFL/
Programming Languages:	Fortran
Keywords:	bound constrained optimization; mixed-integer nonlinear programming
Related Software:	DFN; NOMAD; DFBOX_IMPR; SDBOX; DFLBOX; OrthoMADS; SDPEN; DFLGEN; BFO; MISO; MultiMin; BOBYQA; SO-I; DGM; DIRECT; NEWUOA; SNOBFIT; IMFIL; RBFOpt; DFO
Cited in:	41 Publications

1 Publication describing the Software, including 1 Publication in zbMATH	Year
Derivative-free methods for bound constrained mixed-integer optimization. Zbl 1257.90058 Liuzzi, G.; Lucidi, S.; Rinaldi, F.	2012

all top 5

14	Lucidi, Stefano
12	Rinaldi, Francesco
10	Liuzzi, Giampaolo
3	Audet, Charles
3	Santos, Sandra Augusta
2	Diniz-Ehrhardt, Maria Aparecida
2	DiPillo, Gianni
2	Ferreira, Daniel Gil
2	García-Palomares, Ubaldo M.
2	Gaudioso, Manlio
2	Giallombardo, Giovanni
2	Larson, Jeffrey
2	Latorre, Vittorio
2	Le Digabel, Sébastien
2	Miglionico, Giovanna
2	Sciandrone, Marco
2	Wild, Stefan M.
1	Ali, Montaz M.
1	Bagirov, Adil M.
1	Boukouvala, Fani
1	Bruni, Renato
1	Camponogara, Eduardo
1	Caporossi, Gilles
1	Cartis, Coralia
1	Celani, Fabio
1	Ciccazzo, Angelo
1	Conn, Andrew Roger
1	Costa, M. Fernanda P.
1	De Santis, Alberto
1	Dellepiane, Umberto
1	Ehrhardt, Matthias Joachim
1	Fasano, Giovanni
1	Fernandes, Edite M. G. P.
1	Floudas, Christodoulos Achilleus
1	Galvan, Giulio
1	Giovannelli, Tommaso
1	Giuliani, Caio Merlini
1	Graeb, Helmut E.
1	Grippo, Luigi
1	Habal, Husni
1	Helou, Elias Salomão
1	Hunter, Susan R.
1	Jacquet, Stéphane
1	Kasimbeyli, Refail
1	Lapucci, Matteo
1	Levato, Tommaso
1	Leyffer, Sven
1	Lin, He
1	Lv, Wei
1	Maurici, Massimo
1	Menickelly, Matt
1	Misener, Ruth
1	Newby, Eric
1	Ozturk, Gurkan
1	Palkar, Prashant
1	Pasupathy, Raghu
1	Paulon, Luca
1	Piccialli, Veronica
1	Ploskas, Nikolaos
1	Quispel, Gilles Reinout Willem
1	Ragavan, Prasanna K.
1	Renzi, Stefania
1	Riis, Erlend Skaldehaug
1	Roberts, Lindon
1	Rocha, Ana Maria A. C.
1	Rodríguez-Hernández, Pedro S.
1	Roma, Massimo
1	Sahinidis, Nikolaos V.
1	Saltet, Renaud
1	Schönlieb, Carola-Bibiane
1	Sheridan-Methven, Oliver
1	Simões, Lucas Eduardo Azevedo
1	Sui, Ruirui
1	Sun, Qiang
1	Taaffe, Michael R.
1	Tribes, Christophe
1	Truemper, Klaus
1	Vicente, Luis Nunes

all top 5

8	Computational Optimization and Applications
5	Journal of Optimization Theory and Applications
5	SIAM Journal on Optimization
5	Optimization Letters
3	Journal of Global Optimization
3	Optimization Methods & Software
2	Computational and Applied Mathematics
1	Operations Research Letters
1	Optimization
1	Annals of Operations Research
1	European Journal of Operational Research
1	Mathematical Programming. Series A. Series B
1	Top
1	Foundations of Computational Mathematics
1	4OR
1	Acta Numerica
1	Mathematical Programming Computation

all top 5

40	Operations research, mathematical programming (90-XX)
14	Numerical analysis (65-XX)
5	Calculus of variations and optimal control; optimization (49-XX)
1	Computer science (68-XX)
1	Systems theory; control (93-XX)
1	Information and communication theory, circuits (94-XX)