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The central points of communication network flow has often been identified using graph theoretical centrality measures. In real networks, the state of traffic density arises from an interplay between the dynamics of the flow and the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Petter Holme

The classical problem of optimal transportation can be formulated as a linear optimization problem on a convex domain: among all joint measures with fixed marginals find the optimal one, where optimality is measured against a cost function.…

Optimization and Control · Mathematics 2012-11-29 Jonathan Korman , Robert J. McCann

We consider transport networks with nodes scattered at random in a large domain. At certain local rates, the nodes generate traffic flowing according to some navigation scheme in a given direction. In the thermodynamic limit of a growing…

Probability · Mathematics 2016-02-03 Christian Hirsch , Benedikt Jahnel , Paul Keeler , Robert I. A. Patterson

Optimal transport is a framework that facilitates the most efficient allocation of a limited amount of resources. However, the most efficient allocation scheme does not necessarily preserve the most fairness. In this paper, we establish a…

Optimization and Control · Mathematics 2021-04-01 Jason Hughes , Juntao Chen

We consider the line planning problem in public transport in the Parametric City, an idealized model that captures typical scenarios by a (small) number of parameters. The Parametric City is rotation symmetric, but optimal line plans are…

Optimization and Control · Mathematics 2022-01-25 Berenike Masing , Niels Lindner , Ralf Borndörfer

Multilayer networks describe well many real interconnected communication and transportation systems, ranging from computer networks to multimodal mobility infrastructures. Here, we introduce a model in which the nodes have a limited…

Physics and Society · Physics 2018-02-22 Sabato Manfredi , Edmondo Di Tucci , Vito Latora

In this paper the variation principles from theoretical physics is considered that would describe the process of routing in computer networks. The total traffic which is currently served on all hops of the route has been chosen as the…

Networking and Internet Architecture · Computer Science 2017-02-20 A. M. Sukhov , D. Yu. Chemodanov

Designing an efficient routing strategy is of great importance to alleviate traffic congestion in multilayer networks. In this work, we design an effective routing strategy for multilayer networks by comprehensively considering the roles of…

Physics and Society · Physics 2019-07-31 Lei Gao , Panpan Shu , Ming Tang , Wei Wang , Hui Gao

Many major cities suffer from severe traffic congestion. Road expansion in the cites is usually infeasible, and an alternative way to alleviate traffic congestion is to coordinate the route of vehicles. Various path selection and planning…

Physics and Society · Physics 2019-06-05 Hao Liao , Xingtong Wu , Mingyang Zhou , Chi Ho Yeung

This article generalizes the study of branched/ramified optimal transportation to those with capacity constraints. Each admissible transport network studied here is represented by a transport multi-path between measures, with a capacity…

Optimization and Control · Mathematics 2024-02-13 Qinglan Xia , Haotian Sun

Due to their inherent complexity, engineered wireless multihop ad hoc communication networks represent a technological challenge. Having no mastering infrastructure the nodes have to selforganize themselves in such a way that for example…

Statistical Mechanics · Physics 2007-05-23 Ingmar Glauche , Wolfram Krause , Rudolf Sollacher , Martin Greiner

We study in this paper optimal mass transport over a strongly connected, directed graph on a given discrete time interval. Differently from previous literature, we do not assume full knowledge of the initial and final goods distribution…

Probability · Mathematics 2024-07-16 Aayan Masood Pathan , Michele Pavon

Bicycle infrastructure networks must meet the needs of cyclists to position cycling as a viable transportation choice in cities. In particular, protected infrastructure should be planned cohesively for the whole city and spacious enough to…

Physics and Society · Physics 2025-02-06 Alessandro Lonardi , Michael Szell , Caterina De Bacco

We study the load distribution in weighted networks by measuring the effective number of optimal paths passing through a given vertex. The optimal path, along which the total cost is minimum, crucially depend on the cost distribution…

Statistical Mechanics · Physics 2009-11-10 K. -I. Goh , J. D. Noh , B. Kahng , D. Kim

We study the system-level effects of the introduction of large populations of Electric Vehicles on the power and transportation networks. We assume that each EV owner solves a decision problem to pick a cost-minimizing charge and travel…

Systems and Control · Computer Science 2016-11-17 Mahnoosh Alizadeh , Hoi-To Wai , Mainak Chowdhury , Andrea Goldsmith , Anna Scaglione , Tara Javidi

Urban logistics is becoming more complicated and costlier due to new challenges in recent years. Since the main problem lies on congestion, the clean vehicle is not necessarily the most effective solution. There is thus a need to redesign…

Other Computer Science · Computer Science 2019-07-25 Hao Jiang , Eric Ballot , Shenle Pan

TCP is designed for networks with assumption that major losses occur only due to congestion of network traffic. On a wireless network TCP misinterprets the transmission losses due to bit errors and handoffs as losses caused by congestion,…

Networking and Internet Architecture · Computer Science 2009-08-10 Anshuman Sinha

The structure of road networks impacts various urban dynamics, from traffic congestion to environmental sustainability and access to essential services. Recent studies reveal that most roads are underutilized, faster alternative routes are…

Physics and Society · Physics 2025-10-06 Giuliano Cornacchia , Luca Pappalardo , Mirco Nanni , Dino Pedreschi , Marta C. González

We prove a central limit theorem for the entropic transportation cost between subgaussian probability measures, centered at the population cost. This is the first result which allows for asymptotically valid inference for entropic optimal…

Statistics Theory · Mathematics 2022-05-05 Eustasio del Barrio , Alberto Gonzalez-Sanz , Jean-Michel Loubes , Jonathan Niles-Weed

The increase in congestion in surface traffic, airborne pollution, and other environmental issues have motivated the transit authorities to promote public transit worldwide. In big cities and large metropolitan areas, adding new rapid…

Optimization and Control · Mathematics 2025-12-09 Natividad González-Blanco , Antonio J. Lozano , Vladimir Marianov , Juan A. Mesa
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