To efficiently solve the "separable" MILP combinatorial problems, decomposition, and coordination Surrogate "Level-Based" Lagrangian Relaxation method is developed. The new method efficiently exploits the underlying geometric-convergence potential - the best convergence theoretically possible - inherent to ...
ReadPaper是深圳学海云帆科技有限公司推出的专业论文阅读平台和学术交流社区,收录近2亿篇论文、近2.7亿位科研论文作者、近3万所高校及研究机构,包括nature、science、cell、pnas、pubmed、arxiv、acl、cvpr等知名期刊会议,涵盖了数学、物理、化学、材料、金融、计算机科
Studies have shown that the surrogate subgradient method, to optimize non-smooth dual functions within the Lagrangian relaxation framework, can lead to significant computational improvements as compared to the subgradient method. The key idea is to obtain surrogate subgradient directions that form acute ...
Within the new method, the problem is decomposed into TSO and DSO subproblems, which are efficiently coordinated by updating Lagrangian multipliers. The nonlinearities at the TSO level caused by AC power flow constraints are resolved through a novel dynamic linearization. Numerical results based on ...
To resolve this problem, a solution method called the Lagrangian decomposition and coordination method, which is based on the Lagrangian relaxation method, is already proposed to optimize heterogeneous decision features simultaneously from the viewpoint of total optimization [1]. Although Muramatsu et al...
In this article, we develop a systematic weight-pruning optimization approach based on surrogate Lagrangian relaxation (SLR), which is tailored to overcome difficulties caused by the discrete nature of the weight-pruning problem. We further prove that our method ensures fast convergence of the model...
A novel Lagrangian relaxation level approach for scheduling steelmaking-refining-continuous casting production A Lagrangian relaxation(LR) approach was presented which is with machine capacity relaxation and operation precedence relaxation for solving a flexible job shop(FJS) scheduling problem from the steel...
The surrogate subgradient algorithm for lagrangian relaxation is introduced to solve the problem. The surrogate subgradient method can get a proper direction without solving all the separated charge's schedule to optimize dual functions for separable steel-making and continuous casting schedule problems ...
Karwan, M., Rardin, R.: Some relationships between Lagrangian and surrogate duality in integer programming. Math. Progr. 17, 320–334 (1979) Article MATH MathSciNet Google Scholar Kim, S.-L., Kim, S.: Exact algorithm for the surrogate dual of an integer programming problem: subgradient ...
In line 15, the HT yfeas ht was omitted, and what I f i is has been clarified. In addition, HT qmax ht has been initialized as a small value. In line 7, the subscript "0" for HT qmax ht has been removed.doi:10.1038/s41598-022-26264-1Mikhail A. Bragin...