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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.…

最优化与控制 · 数学 2012-11-29 Jonathan Korman , Robert J. McCann

This paper proposes an optimal allocation problem with ramified transport technology in a spatial economy. Ramified transportation is used to model the transport economy of scale in group transportation observed widely in both nature and…

最优化与控制 · 数学 2021-09-02 Qinglan Xia , Shaofeng Xu

In this paper, we are exploring strategies for the reduction of the congestion in the complex networks. The nodes without buffers are considered, so, if the congestion occurs, the information packets will be dropped. The focus is on the…

物理与社会 · 物理学 2016-12-28 Jelena Smiljanić , Igor Stanković

How to free a road from vehicle traffic as efficiently as possible and in a given time, in order to allow for example the passage of emergency vehicles? We are interested in this question which we reformulate as an optimal control problem.…

最优化与控制 · 数学 2023-10-25 Mickael Bestard , Emmanuel Franck , Laurent Navoret , Yannick Privat

Designing and optimizing different flows in networks is a relevant problem in many contexts. While a number of methods have been proposed in the physics and optimal transport literature for the one-commodity case, we lack similar results…

物理与社会 · 物理学 2021-10-13 Alessandro Lonardi , Enrico Facca , Mario Putti , Caterina De Bacco

In the classical Monge-Kantorovich problem, the transportation cost only depends on the amount of mass sent from sources to destinations and not on the paths followed by this mass. Thus, it does not allow for congestion effects. Using the…

最优化与控制 · 数学 2007-05-23 G. Carlier , C. Jimenez , F. Santambrogio

By introducing a simple model based on two-dimensional cellular automata, we reveal the relationship between the routing strategies of individual vehicles and the global behavior of transportation networks. Specifically, we characterize the…

物理与社会 · 物理学 2019-07-31 Tak Shing Tai , Chi Ho Yeung

We consider a class of optimal control problems for measure-valued nonlinear transport equations describing traffic flow problems on networks. The objective isto minimise/maximise macroscopic quantities, such as traffic volume or average…

最优化与控制 · 数学 2019-11-11 Simone Cacace , Fabio Camilli , Raul De Maio , Andrea Tosin

Traffic congestion has large economic and social costs. The introduction of autonomous vehicles can potentially reduce this congestion, both by increasing network throughput and by enabling a social planner to incentivize users of…

最优化与控制 · 数学 2018-10-30 Erdem Bıyık , Daniel Lazar , Ramtin Pedarsani , Dorsa Sadigh

The structure of networks that provide optimal transport properties has been investigated in a variety of contexts. While many different formulations of this problem have been considered, it is recurrently found that optimal networks are…

生物物理 · 物理学 2015-05-13 Francis Corson

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…

统计力学 · 物理学 2007-05-23 Ingmar Glauche , Wolfram Krause , Rudolf Sollacher , Martin Greiner

In this paper, urban traffic is modeled using dual graph representation of urban transportation network where roads are mapped to nodes and intersections are mapped to links. The proposed model considers both the navigation of vehicles on…

物理与社会 · 物理学 2009-11-13 Mao-Bin Hu , Rui Jiang , Yong-Hong Wu , Wen-Xu Wang , Qing-Song Wu

Complex network theory is being widely used to study many real-life systems. One of the fields that can benefit from complex network theory approach is transportation network. In this paper, we briefly review the complex network theory…

物理与社会 · 物理学 2023-08-10 Nur Umaisara Rashid , Kar Tim Chan

In order to manage electricity transmission and distribution it is now common practice for system operators to offer financial incentives that encourage large consumers to reduce energy usage during designated peak demand periods. For train…

最优化与控制 · 数学 2026-02-19 Phil Howlett , Maria Kapsis , Peter Pudney

The rapid urbanization and increasing traffic have serious social, economic, and environmental impact on metropolitan areas worldwide. It is of a great importance to understand the complex interplay of road networks and traffic conditions.…

其他计算机科学 · 计算机科学 2018-10-31 Weizi Li , Meilei Jiang , Yaoyu Chen , Ming C. Lin

Bike-sharing systems have been regarded as a critical component of solutions towards the transition to greener and more sustainable transportation, with the benefits of reducing carbon emissions, improving public health, and mitigating…

物理与社会 · 物理学 2022-05-18 Xinze Qiu , Tianli Gao , Yu Yang , Ankang Luo , Fan Shang , Ruiqi Li

The massive scale of future wireless networks will create computational bottlenecks in performance optimization. In this paper, we study the problem of connecting mobile traffic to Cloud RAN (C-RAN) stations. To balance station load, we…

网络与互联网体系结构 · 计算机科学 2018-05-07 Georgios Paschos , Nikolaos Liakopoulos , Merouane Debbah , Tong Wen

Previously, transport networks are usually treated as homogeneous networks, that is, every node has the same function, simultaneously providing and requiring resources. However, some real networks, such as power grid and supply chain…

数据分析、统计与概率 · 物理学 2010-06-08 Yu-Han Chen , Bing-Hong Wang , Li-Chao Zhao , Changsong Zhou , Tao Zhou

Traffic is a challenge in rural and urban areas alike with negative effects ranging from congestion to air pollution. Ride-sharing poses an appealing alternative to personal cars, combining the traffic-reducing ride bundling of public…

物理与社会 · 物理学 2021-02-24 Debsankha Manik , Nora Molkenthin

This paper investigates the effect of network topology on the fair allocation of network resources among a set of agents, an all-important issue for the efficiency of transportation networks all around us. We analyse a generic mechanism…

物理与社会 · 物理学 2015-05-30 Rui Carvalho , Lubos Buzna , Wolfram Just , Dirk Helbing , David K. Arrowsmith