A dual method for probabilistic constrained problems

1986 ◽  
pp. 94-112 ◽  
Author(s):  
é. Komáromi
Keyword(s):  
Dual Method ◽  
Constrained Problems

Direct-dual method of mirror descent for conditional problems of stochastic optimization

2018 ◽  
Vol 58 (11) ◽  
pp. 1794-1803
Author(s):  
A. Bayadina ◽  
◽  
A. Gasnikov ◽  
E. Gasnikova ◽  
S. Matsiyevsky ◽  
...  
Keyword(s):  
Stochastic Optimization ◽  
Dual Method ◽  
Mirror Descent

scholarly journals Fast distributed Lagrange dual method based on accelerated gradients for economic dispatch of microgrids

2020 ◽  
Vol 6 ◽  
pp. 640-648
Author(s):  
Kunming Wu ◽  
Qiang Li ◽  
Jiayang Lin ◽  
Yongli Yi ◽  
Ziyu Chen ◽  
...  
Keyword(s):  
Economic Dispatch ◽  
Dual Method

scholarly journals A Chebyshev-Accelerated Primal-Dual Method for Distributed Optimization

2018 ◽  
Author(s):  
Jacob H. Seidman ◽  
Mahyar Fazlyab ◽  
George J. Pappas ◽  
Victor M. Preciado
Keyword(s):  
Distributed Optimization ◽  
Dual Method ◽  
Primal Dual

Rapid screening algorithms for stochastically constrained problems

2017 ◽  
Vol 254 (1-2) ◽  
pp. 425-447 ◽  
Author(s):  
Shing Chih Tsai ◽  
Tse Yang
Keyword(s):  
Rapid Screening ◽  
Constrained Problems

scholarly journals An Optimization Method for the Configuration of Inter Array Cables for Floating Offshore Wind Farm

2017 ◽  
Author(s):  
Yann Poirette ◽  
Martin Guiton ◽  
Guillaume Huwart ◽  
Delphine Sinoquet ◽  
Jean Marc Leroy
Keyword(s):  
Wind Farm ◽  
Optimization Problem ◽  
Initial Point ◽  
Trust Region ◽  
Optimization Method ◽  
Global Optimum ◽  
Offshore Wind ◽  
Finite Element Software ◽  
Constrained Problems ◽  
Floating Offshore Wind Turbines

IFP Energies nouvelles (IFPEN) is involved for many years in various projects for the development of floating offshore wind turbines. The commercial deployment of such technologies is planned for 2020. The present paper proposes a methodology for the numerical optimization of the inter array cable configuration. To illustrate the potential of such an optimization, results are presented for a case study with a specific floating foundation concept [1]. The optimization study performed aims to define the least expensive configuration satisfying mechanical constraints under extreme environmental conditions. The parameters to be optimized are the total length, the armoring, the stiffener geometry and the buoyancy modules. The insulated electrical conductors and overall sheath are not concerned by this optimization. The simulations are carried out using DeepLines™, a Finite Element software dedicated to simulate offshore floating structures in their marine environment. The optimization problem is solved using an IFPEN in-house tool, which integrates a state of the art derivative-free trust region optimization method extended to nonlinear constrained problems. The latter functionality is essential for this type of optimization problem where nonlinear constraints are introduced such as maximum tension, no compression, maximum curvature and elongation, and the aero-hydrodynamic simulation solver does not provide any gradient information. The optimization tool is able to find various local feasible extrema thanks to a multi-start approach, which leads to several solutions of the cable configuration. The sensitivity to the choice of the initial point is demonstrated, illustrating the complexity of the feasible domain and the resulting difficulty in finding the global optimum configuration.

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