From the physics of interacting polymers to optimizing routes on the London Underground

Chi H. Yeung*, David Saad, K.Y. Michael Wong

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

Optimizing paths on networks is crucial for many applications, ranging from subway traffic to Internet communication. Because global path optimization that takes account of all path choices simultaneously is computationally hard, most existing routing algorithms optimize paths individually, thus providing suboptimal solutions. We use the physics of interacting polymers and disordered systems to analyze macroscopic properties of generic path optimization problems and derive a simple, principled, generic, and distributed routing algorithm capable of considering all individual path choices simultaneously. We demonstrate the efficacy of the algorithm by applying it to: (i) random graphs resembling Internet overlay networks, (ii) travel on the London Underground network based on Oyster card data, and (iii ) the global airport network. Analytically derived macroscopic properties give rise to insightful new routing phenomena, including phase transitions and scaling laws, that facilitate better understanding of the appropriate operational regimes and their limitations, which are difficult to obtain otherwise.

Original languageEnglish
Pages (from-to)13717-13722
Number of pages6
JournalProceedings of the National Academy of Sciences
Volume110
Issue number34
Early online date29 Jul 2013
DOIs
Publication statusPublished - 20 Aug 2013

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