Several ways of implementing methods for solving nonlinear optimization problems involving linear inequality and equality constraints using numerically sta... Donald,Goldfarb - 《Mathematical Programming》 被引量: 30发表: 1976年 Global Optimization of Concave Functions Subject to Separable Quadratic Constraints...
Complexity Issues in Global Optimization: A Survey 来自 Semantic Scholar 喜欢 0 阅读量: 37 作者: SA Vavasis 摘要: Complexity theory refers to the asymptotic analysis of problems and algorithms. How efficient is an algorithm for a particular optimization problem, as the number of variables gets...
where\(n_{\textrm{valid,discr}}\)is the number of valid discrete design vectors, and\(N_j\)is the number of options for discrete variablej. An imputation ratio of 1 indicates a non-hierarchical problem, values higher than 1 indicate hierarchy: for the suborbital vehicle design problem in ...
The optimization problem is solved by a nonlinear programming method, and the design sensitivities are evaluated by the adjoint method. The proposed optimization approach is studied with numerical examples in 2D and 3D, involving configurations with more than \(6 \times 10^{4}\) optimization ...
It is particularly stressed that the CAPSO determines optimal values of the scattering problem’s variables, which yield highly-efficient cloaking designs by employing ordinary coatings materials. PSO algorithms in computational methodologies and engineering applications involving electromagnetic waves were ...
To overcome the complexity of the underlying non-convex problem involving a possibly large number of unknowns, we show how the space of possible polarizations can be regarded as a 5-sphere and introduce a nested procedure which jointly relies on an (external) global optimization of the field ...
Their findings suggest that tetra-hybrid nanofluids offer a significant advantage in industrial applications demanding the highest thermal energy production. Elboughdiri et al.23 conducted a mathematical analysis of dual simulations involving tangent hyperbolic rheology, heat transfer, and mass diffusion on...
We present a method for robot path planning in the robot’s configuration space, in the presence of fixed obstacles. Our method employs both combinatorial and gradient-based optimization techniques, but most distinguishably, it employs a Multi-sphere Sch
HJ Inequalities Involving Lie Brackets and Feedback Stabilizability with Cost Regulation Abstract With reference to an optimal control problem where the state has to approach asymptotically a closed target while paying a non-negative integral cost, we propose a generalization of the classical dissipative...
We prove that for a large class of states the advantage gained by using them over classical strategies in the simplest nonlocal games involving three or more players is severely limited. As a bonus, the proof of this result can also be used to resolve a 35-year-old open problem posed by...