Convex piecewise-linear fittingSpringer Science and Business Media LLC - Tập 10 - Trang 1-17 - 2008
Alessandro Magnani, Stephen P. Boyd
We consider the problem of fitting a convex piecewise-linear function, with some specified form, to given multi-dimensional data. Except for a few special cases, this problem is hard to solve exactly, so we focus on heuristic methods that find locally optimal fits. The method we describe, which is a variation on the K-means algorithm for clustering, seems to work well in practice, at least on data...... hiện toàn bộ
Transient gas pipeline flow: analytical examples, numerical simulation and a comparison to the quasi-static approachSpringer Science and Business Media LLC - Tập 24 - Trang 425-446 - 2021
Martin Gugat, Richard Krug, Alexander Martin
The operation of gas pipeline flow with high pressure and small Mach numbers allows to model the flow by a semilinear hyperbolic system of partial differential equations. In this paper we present a number of transient and stationary analytical solutions of this model. They are used to discuss and clarify why a PDE model is necessary to handle certain dynamic situations in the operation of gas tran...... hiện toàn bộ
A nonlinear programming technique to compute a tight lower bound for the real structured singular valueSpringer Science and Business Media LLC - Tập 12 - Trang 445-458 - 2010
Ahmet Yazıcı, Abdurrahman Karamancıoğlu, Refail Kasimbeyli
The real structured singular value (RSSV, or real μ) is a useful measure to analyze the robustness of linear systems subject to structured real parametric uncertainty, and surely a valuable design tool for the control systems engineers. We formulate the RSSV problem as a nonlinear programming problem and use a new computation technique, F-modified subgradient (F-MSG) algorithm, for its lower bound...... hiện toàn bộ
A new predictor–corrector method for optimal power flowSpringer Science and Business Media LLC - Tập 16 - Trang 335-346 - 2014
Roy Wilhelm Probst, Aurelio Ribeiro Leite Oliveira
A predictor–corrector interior-point method is developed in order to deal with the AC active and reactive optimal power flow problem. Voltage rectangular coordinates are adopted instead of polar ones, since they allow nonlinear corrections for the primal and dual feasibility conditions and not only for the complementary constraints as in the traditional nonlinear programming methods. A new heurist...... hiện toàn bộ
EGO shape optimization of horn-loaded loudspeakersSpringer Science and Business Media LLC - Tập 9 - Trang 361-374 - 2007
Rick C. Morgans, Anthony C. Zander, Colin H. Hansen, David J. Murphy
Horn-loaded loudspeakers increase the efficiency and control the spatial distribution of sound radiated from the horn mouth. They are often used as components in cinema sound systems where it is desired that the sound be broadcast onto the audience uniformly at all frequencies, improving the listening experience. The sound distribution, or beamwidth, is related to the shape of the horn and can be...... hiện toàn bộ
An asymmetric suboptimization approach to aerostructural optimizationSpringer Science and Business Media LLC - Tập 10 - Trang 133-152 - 2008
Ian R. Chittick, Joaquim R. R. A. Martins
An asymmetric suboptimization method for performing multidisciplinary design optimization is introduced. The objective of the proposed method is to improve the overall efficiency of aerostructural optimization, by simplifying the system-level problem, and thereby reducing the number of calls to a potentially costly aerodynamics solver. To guide a gradient-based optimization algorithm, an extension...... hiện toàn bộ
Locally weighted regression models for surrogate-assisted design optimizationSpringer Science and Business Media LLC - Tập 19 - Trang 213-238 - 2017
Bastien Talgorn, Charles Audet, Sébastien Le Digabel, Michael Kokkolaras
We consider engineering design optimization problems where the objective and/or constraint functions are evaluated by means of computationally expensive blackboxes. Our practical optimization strategy consists of solving surrogate optimization problems in the search step of the mesh adaptive direct search algorithm. In this paper, we consider locally weighted regression models to build the necessa...... hiện toàn bộ