Benders Cut Classification via Support Vector Machines for Solving Two-Stage Stochastic Programs
نویسندگان
چکیده
We consider Benders decomposition for solving two-stage stochastic programs with complete recourse based on finite samples of the uncertain parameters. define cuts binding at final optimal solution or ones significantly improving bounds over iterations as valuable cuts. propose a learning-enhanced (LearnBD) algorithm, which adds cut classification step in each iteration to selectively generate that are more likely be The LearnBD algorithm includes two phases: (i) sampling and collecting information from training problems (ii) testing support vector machine (SVM) classifier. run instances capacitated facility location multicommodity network design under demand. Our results show SVM classifier works effectively identifying cuts, reduces total time all different various sizes complexities.
منابع مشابه
STAGE-DISCHARGE MODELING USING SUPPORT VECTOR MACHINES
Establishment of rating curves are often required by the hydrologists for flow estimates in the streams, rivers etc. Measurement of discharge in a river is a time-consuming, expensive, and difficult process and the conventional approach of regression analysis of stage-discharge relation does not provide encouraging results especially during the floods. P
متن کاملA Log-Barrier Method With Benders Decomposition For Solving Two-Stage Stochastic Programs
An algorithm incorporating the logarithmic barrier into the Benders decomposition technique is proposed for solving two-stage stochastic programs. Basic properties concerning the existence and uniqueness of the solution and the underlying path are studied. When applied to problems with a nite number of scenarios, the algorithm is shown to converge globally and to run in polynomial-time.
متن کاملProtein topology classification using two-stage support vector machines.
The determination of the first 3-D model of a protein from its sequence alone is a non-trivial problem. The first 3-D model is the key to the molecular replacement method of solving phase problem in x-ray crystallography. If the sequence identity is more than 30%, homology modelling can be used to determine the correct topology (as defined by CATH) or fold (as defined by SCOP). If the sequence ...
متن کاملStochastic Optimization Algorithms for Support Vector Machines Classification
In this paper, we consider the problem of semi-supervised binary classification by Support Vector Machines (SVM). This problem is explored as an unconstrained and non-smooth optimization task when part of the available data is unlabelled. We apply non-smooth optimization techniques to classification where the objective function considered is non-convex and nondifferentiable and so difficult to ...
متن کاملSolving Imbalanced Classification Problems with Support Vector Machines
The Support Vector Machine (SVM) is a powerful learning mechanism and promising results have been obtained in the field of medical diagnostics and textcategorization. However, successful applications to business oriented classification problems are still limited. Most real world data sets exhibit vast class imbalances and an accurate identification of the economical relevant minority class is ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: INFORMS journal on optimization
سال: 2021
ISSN: ['2575-1484', '2575-1492']
DOI: https://doi.org/10.1287/ijoo.2019.0050