Bilevel optimization in flow networks: A message-passing approach

Optimizing embedded systems, where the optimization of one depends on the state of another, is a formidable computational and algorithmic challenge, that is ubiquitous in real world systems. We study flow networks, where bilevel optimization is relevant to traffic planning, network control and desig...

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Bibliographic Details
Published in:arXiv.org
Main Authors: Li, Bo, Saad, David, Chi Ho Yeung
Format: Paper
Language:English
Published: Ithaca Cornell University Library, arXiv.org 08.11.2022
Subjects:
Algorithms
Embedded systems
Message passing
Network control
Optimization
Parameters
Traffic control
Traffic planning
Transportation networks
ISSN:2331-8422
Online Access:Get full text
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Summary:Optimizing embedded systems, where the optimization of one depends on the state of another, is a formidable computational and algorithmic challenge, that is ubiquitous in real world systems. We study flow networks, where bilevel optimization is relevant to traffic planning, network control and design, and where flows are governed by an optimization requirement subject to the network parameters. We employ message-passing algorithms in flow networks with sparsely coupled structures to adapt network parameters that govern the network flows, in order to optimize a global objective. We demonstrate the effectiveness and efficiency of the approach on randomly generated graphs.
Bibliography:SourceType-Working Papers-1
ObjectType-Working Paper/Pre-Print-1
content type line 50
ISSN:2331-8422
DOI:10.48550/arxiv.2108.00960