Network Flow Problem Heuristic Reduction Using Machine Learning
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Date
2023-09-23
Authors
Rosecký, Martin
Pluskal, Jaroslav
Šomplák, Radovan
0000-0003-0848-7477Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Nature
Altmetrics
Abstract
Most of the supporting tools developed for logistic optimization and processing infrastructure planning are based on the network flow problem. The real-world application of these instruments can provide great insight and help to ensure long-term sustainability. The main limitation of these tools lies in great computing demand when there is the necessity of solving large-scale tasks in great detail. It means that the ability to find the optimal solution for real-world problems is limited. Thus, the detail of infrastructure is often reduced by data aggregation or heuristic approaches are used to find a suboptimal solution. This paper proposes a machine learning classification model to reduce the number of variables for an exact solution algorithm. First, the design of experiments is used to create a set of smaller problems that are possible to solve exactly. Artificial data are used at this stage, while domain knowledge is used to set appropriate distribution and parameters. Second, the classification model estimates the probability of the presence of each arc in the optimal solution. Features, which are related to costs and capacity, of each arc are utilized in the classification model. Models created on a subset of generated problems are then tested on the other problems. Finally, the proposed framework is applied to the waste management problem in the Czech Republic. The results of the verification show, that it is possible to remove 95 % of arcs without impact on strategic decisions and without significant change of an objective function. The computing time of the reduced problem takes only 7 % of the original task.
Description
Citation
OPTIMIZATION AND ENGINEERING. 2023, vol. 25, issue 1, p. 93-119.
https://link.springer.com/article/10.1007/s11081-023-09838-4
https://link.springer.com/article/10.1007/s11081-023-09838-4
Document type
Peer-reviewed
Document version
Published version
Date of access to the full text
Language of document
en