Augmented Lagrangian relaxationNonlinear Gauss–Seidel methodThis paper studies the vehicle routing problem with mixed backhauls and time windows (VRPMBTW) for city logistics. A time-discretized multi-commodity network flow optimization model is proposed in an extended state-space-time network ...
1) Augmented lagrangian relaxation 增广拉格朗日松弛化 2) augmentation 增广 3) augmented matrix 增广矩阵 1. In the proposed algorithm by means of singular value decomposition (SVD) of a newaugmented matrixand by use of a simple and practical method to deter. ...
classical Lagrangian relaxationunit commitmentvariable duplicationOne of the main drawbacks of the augmented Lagrangian relaxation method is that the quadratic term introduced by the augmented Lagrangian is not separable. We compare empirically and theoretically two methods designed to cope with the non...
Initially, the branch and bound method was used for the mathematical programming methods [30]. A hydrothermal coordination methodology was included using either a Lagrangian or an augmented Lagrangian relaxation method. In the analysis of these methods, the parameters were tuned by considering several ...
从细观角度建立堆石体的随机散粒体不连续变形(SGDD)模型,该模型采用蒙特卡罗法建立堆石体的随机分布模型,通过基于修正的增广Lagrangian算法的非线性接触算法模拟颗粒间的相互接触作用,可以有效模拟颗粒相互作用及尖端破坏等因素。 更多例句>> 3) augmented Lagrangian relaxation ...
E. Rooda, "An augmented lagrangian relaxation for analytical target cascading using the alternating directions method of multipliers," Struct. Multi- disc Optim., vol. 31, no. 3, pp. 176-189, 2006.An augmented Lagrangian relaxation for analytical target cascading using the alternating direction ...
An augmented Lagrangian decomposition method for quasi-separable problems in MDO while formulations such as Analytical Target Cascading (ATC) [3] and Augmented Lagrangian Coordination (ALC) =-=[4, 5]-=- use penalty relaxation methods... S.,Tosserams,L.,... - 《Structural & Multidisciplinary ...
This paper proposes an augmented Lagrange Hopfield network based Lagrangian relaxation (ALHN-LR) for solving unit commitment (UC) problem with ramp rate constraints. ALHN-LR is a combination of improved Lagrangian relaxation (ILR) and augmented Lagrange Hopfield network (ALHN) enhanced by heuristic se...
In this paper, we propose an augmented Lagrangian method with Backtracking Line Search for solving nonconvex composite optimization problems including both
Hence, it will be called PAL (Penalized Augmented Lagrangian) method. Our previous implementation of the AL algorithm, presented in Dimakopoulos et al. [15], involved a multi-stage procedure. The AL algorithm begins with the application of the Cauchy–Schwarz inequality on two symmetric, second...