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Mathematics > Optimization and Control

arXiv:2108.00960 (math)
[Submitted on 2 Aug 2021 (v1), last revised 8 Nov 2022 (this version, v3)]

Title:Bilevel optimization in flow networks: A message-passing approach

Authors:Bo Li, David Saad, Chi Ho Yeung
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Abstract: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.
Subjects: Optimization and Control (math.OC); Disordered Systems and Neural Networks (cond-mat.dis-nn); Physics and Society (physics.soc-ph)
Cite as: arXiv:2108.00960 [math.OC]
  (or arXiv:2108.00960v3 [math.OC] for this version)
  https://doi.org/10.48550/arXiv.2108.00960
Journal reference: Phys. Rev. E 106, L042301 (2022)
Related DOI: https://doi.org/10.1103/PhysRevE.106.L042301

Submission history

From: Bo Li [view email]
[v1] Mon, 2 Aug 2021 15:02:46 UTC (532 KB)
[v2] Thu, 16 Jun 2022 15:55:47 UTC (670 KB)
[v3] Tue, 8 Nov 2022 02:58:21 UTC (669 KB)
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