A Novel Euler’s Elastica-Based Segmentation Approach for Noisy Images Using the Progressive Hedging Algorithm

2019 ◽  
Vol 62 (1) ◽  
pp. 98-119
Author(s):  
Lu Tan ◽  
Ling Li ◽  
Wanquan Liu ◽  
Jie Sun ◽  
Min Zhang
1991 ◽  
Vol 31 (1) ◽  
pp. 445-455 ◽  
Author(s):  
Stein W. Wallace ◽  
Thorkell Helgason

2020 ◽  
Vol 37 (04) ◽  
pp. 2040004
Author(s):  
Min Zhang ◽  
Liangshao Hou ◽  
Jie Sun ◽  
Ailing Yan

Stochastic optimization models based on risk-averse measures are of essential importance in financial management and business operations. This paper studies new algorithms for a popular class of these models, namely, the mean-deviation models in multistage decision making under uncertainty. It is argued that these types of problems enjoy a scenario-decomposable structure, which could be utilized in an efficient progressive hedging procedure. In case that linkage constraints arise in reformulations of the original problem, a Lagrange progressive hedging algorithm could be utilized to solve the reformulated problem. Convergence results of the algorithms are obtained based on the recent development of the Lagrangian form of stochastic variational inequalities. Numerical results are provided to show the effectiveness of the proposed algorithms.


Processes ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 2112
Author(s):  
Tianen Huang ◽  
Zhenjie Wu ◽  
Yuantao Wang ◽  
Jian Tang ◽  
Xiang Li ◽  
...  

Pre-dispatch is an important way for distribution networks to cope with typhoon weather, enhance resilience and reduce economic losses. In order to accurately describe the faults and consequences of components’ failure in the distribution network, this paper establishes a pre-dispatch model to cope with typhoon weather based on line failures consequence analysis. First, Monte Carlo simulation is used to sample the typical fault scenarios of vulnerable lines. According to the location of switchgear, the distribution network is partitioned and a block breaker correlation matrix is established. Combined with the line fault status, a fault consequence model of distribution lines related to the pre-dispatching strategy is established. Then, the objective function is given to minimize the sum of the cost of the pre-dispatch operation and the power outage, and then establish a pre-dispatch model for the distribution network. In order to reduce the computational complexity, PH (Progressive Hedging) algorithm is used to solve the model. Finally, the IEEE-69 test system is used to analyze the effectiveness of the method. The results show that the proposed dispatching model can effectively avoid potential risks, reduce system economic losses and improve the resilience of power grids.


2016 ◽  
Vol 157 (1) ◽  
pp. 47-67 ◽  
Author(s):  
Dinakar Gade ◽  
Gabriel Hackebeil ◽  
Sarah M. Ryan ◽  
Jean-Paul Watson ◽  
Roger J.-B. Wets ◽  
...  

1991 ◽  
Vol 31 (1) ◽  
pp. 425-444 ◽  
Author(s):  
Thorkell Helgason ◽  
Stein W. Wallace

MENDEL ◽  
2018 ◽  
Vol 24 (2) ◽  
Author(s):  
Martin Malek ◽  
Radovan Somplak ◽  
Pavel Popela ◽  
Jakub Kudela

In this paper we describe a real-world large-scale stochastic integer waste-management decision making problem. The problem consists of choosing the optimal locations and capacities of new incineration plants, that will be used for the disposal of waste. To solve this problem, we implement a modied version of the progressive hedging algorithm. The presented case study with real-world data concerns the situation in the Czech Republic.


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