Sustainable optimal transport in multilayer networks

Abstract

Traffic congestion is one of the major challenges faced by the transportation industry. While this problem carries a high economical and environmental cost, the need for an efficient design of optimal paths for passengers in multilayer network infrastructures is imperative. We consider an approach based on optimal transport theory to route passengers preferably along layers that are more carbon efficient than the road, e.g. rails. By analyzing the impact of this choice on performance, we find that this approach reduces carbon emissions considerably, compared to shortest-path minimization. Similarly, we find that this approach distributes traffic more homogeneously thus alleviating the risk of traffic congestions. Our results shed light on the impact of distributing traffic flexibly across layers guided by optimal transport theory.

arXiv comment8 pages, 10 figures

References in corpus (21)

• Random Walks on Multiplex Networks
• Transport on coupled spatial networks
• Fluctuations and redundancy in optimal transport networks
• Congestion induced by the structure of multiplex networks
• Group percolation in interdependent networks
• From the Physics of Interacting Polymers to Optimizing Routes on the London Underground
• Geometric correlations mitigate the extreme vulnerability of multiplex networks against targeted attacks
• Efficient routing on multilayered communication networks
• Comprehensive routing strategy on multilayer networks
• The Competition for Shortest Paths on Sparse Graphs
• Optimal transport in multilayer networks for traffic flow optimization
• Multiple abrupt phase transitions in urban transport congestion
• Shortest node-disjoint paths on random graphs
• Designing optimal networks for multi-commodity transport problem
• Network extraction by routing optimization
• The edge-disjoint path problem on random graphs by message-passing
• Multicommodity routing optimization for engineering networks
• Principled network extraction from images
• The Futility of Being Selfish -- The Impact of Selfish Routing on Uncoordinated and Optimized Transportation Networks
• Coordinating Dynamical Routes with Statistical Physics on Space-time Networks
• Optimally coordinated traffic diversion by statistical physics

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• Bilevel Optimization for Traffic Mitigation in Optimal Transport Networks
• Community Detection in networks by Dynamical Optimal Transport Formulation
• Optimal transport with constraints: from mirror descent to classical mechanics
• Immiscible Color Flows in Optimal Transport Networks for Image Classification