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 desi...

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Vydáno v:Physical review. E Ročník 106; číslo 4; s. L042301
Hlavní autoři: Li, Bo, Saad, David, Yeung, Chi Ho
Médium: Journal Article
Jazyk:angličtina
Vydáno: 01.10.2022
ISSN:2470-0053, 2470-0053
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Shrnutí: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.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.
Bibliografie:ObjectType-Article-1
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ISSN:2470-0053
2470-0053
DOI:10.1103/PhysRevE.106.L042301