DFL
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.
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References in zbMATH (referenced in 13 articles , 1 standard article )
Showing results 1 to 13 of 13.
Sorted by year (- Costa, M. Fernanda P.; Rocha, Ana Maria A. C.; Fernandes, Edite M. G. P.: Filter-based DIRECT method for constrained global optimization (2018)
- Boukouvala, Fani; Misener, Ruth; Floudas, Christodoulos A.: Global optimization advances in mixed-integer nonlinear programming, MINLP, and constrained derivative-free optimization, CDFO (2016)
- Di Pillo, G.; Liuzzi, G.; Lucidi, S.; Piccialli, V.; Rinaldi, F.: A DIRECT-type approach for derivative-free constrained global optimization (2016)
- Liuzzi, G.; Lucidi, S.; Rinaldi, F.: A derivative-free approach to constrained multiobjective nonsmooth optimization (2016)
- Lucidi, Stefano; Maurici, Massimo; Paulon, Luca; Rinaldi, Francesco; Roma, Massimo: A derivative-free approach for a simulation-based optimization problem in healthcare (2016)
- Ciccazzo, Angelo; Latorre, Vittorio; Liuzzi, Giampaolo; Lucidi, Stefano; Rinaldi, Francesco: Derivative-free robust optimization for circuit design (2015)
- Di Pillo, Gianni; Lucidi, Stefano; Rinaldi, Francesco: A derivative-free algorithm for constrained global optimization based on exact penalty functions (2015)
- Grippo, L.; Rinaldi, F.: A class of derivative-free nonmonotone optimization algorithms employing coordinate rotations and gradient approximations (2015)
- Liuzzi, Giampaolo; Lucidi, Stefano; Rinaldi, Francesco: Derivative-free methods for mixed-integer constrained optimization problems (2015)
- Lv, Wei; Sun, Qiang; Lin, He; Sui, Ruirui: A penalty derivative-free algorithm for nonlinear constrained optimization (2015)
- Newby, Eric; Ali, M. M.: A trust-region-based derivative free algorithm for mixed integer programming (2015)
- Fasano, G.; Liuzzi, G.; Lucidi, S.; Rinaldi, F.: A linesearch-based derivative-free approach for nonsmooth constrained optimization (2014)
- Liuzzi, G.; Lucidi, S.; Rinaldi, F.: Derivative-free methods for bound constrained mixed-integer optimization (2012)