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Related papers: Spatial Transportation Networks with Transfer Cost…

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Consider designing a transportation network on $n$ vertices in the plane, with traffic demand uniform over all source-destination pairs. Suppose the cost of a link of length $\ell$ and capacity $c$ scales as $\ell c^\beta$ for fixed…

Disordered Systems and Neural Networks · Physics 2008-03-17 David J. Aldous

The problem of determining asymptotic bounds on the capacity of a random ad hoc network is considered. Previous approaches assumed a threshold-based link layer model in which a packet transmission is successful if the SINR at the receiver…

Information Theory · Computer Science 2007-07-13 Vivek P. Mhatre , Catherine P. Rosenberg

We develop a new metric for quantifying end-to-end throughput in multihop wireless networks, which we term random access transport capacity, since the interference model presumes uncoordinated transmissions. The metric quantifies the…

Information Theory · Computer Science 2016-11-18 Jeffrey G. Andrews , Steven Weber , Marios Kountouris , Martin Haenggi

We present a comparative study of the application of a recently introduced heuristic algorithm to the optimization of transport on three major types of complex networks. The algorithm balances network traffic iteratively by minimizing the…

Disordered Systems and Neural Networks · Physics 2007-07-12 Bogdan Danila , Yong Yu , John A. Marsh , Kevin E. Bassler

Motivated by the shape of transportation networks such as subways, we consider a distribution of points in the plane and ask for the network $G$ of given length $L$ that is optimal in a certain sense. In the general model, the optimality…

Physics and Society · Physics 2019-05-22 David Aldous , Marc Barthelemy

This paper develops upper bounds on the end-to-end transmission capacity of multi-hop wireless networks. Potential source-destination paths are dynamically selected from a pool of randomly located relays, from which a closed-form lower…

Information Theory · Computer Science 2013-02-08 Yuxin Chen , Jeffrey G. Andrews

We consider the problem of determining asymptotic bounds on the capacity of a random ad hoc network. Previous approaches assumed a link layer model in which if a transmitter-receiver pair can communicate with each other, i.e., the Signal to…

Information Theory · Computer Science 2008-11-24 Vivek P. Mhatre , Catherine P. Rosenberg , Ravi R. Mazumdar

Inspired by studies on the airports' network and the physical Internet, we propose a general model of weighted networks via an optimization principle. The topology of the optimal network turns out to be a spanning tree that minimizes a…

Physics and Society · Physics 2009-11-11 Marc Barthelemy , Alessandro Flammini

In this paper, a hub refers to a non-terminal vertex of degree at least three. We study the minimum number of hubs needed in a network to guarantee certain flow demand constraints imposed between multiple pairs of sources and sinks. We…

Combinatorics · Mathematics 2013-08-14 Easton Li Xu , Guangyue Han

While there is a drastic shift from host-centric networking to content-centric networking, how to locate and retrieve the relevant content efficiently, especially in a mobile network, is still an open question. Mobile devices host…

Networking and Internet Architecture · Computer Science 2015-11-17 Suzan Bayhan , Esa Hyytiä , Jussi Kangasharju , Jörg Ott

Many situations in physics, biology, and engineering consist of the transport of some physical quantity through a network of narrow channels. The ability of a network to transport such a quantity in every direction can be described by the…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Marc Durand , Denis Weaire

We study spatial networks that are designed to distribute or collect a commodity, such as gas pipelines or train tracks. We focus on the cost of a network, as represented by the total length of all its edges, and its efficiency in terms of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Michael T. Gastner , M. E. J. Newman

In this paper we consider spatial networks that realize a balance between an infrastructure cost (the cost of wire needed to connect the network in space) and communication efficiency, measured by average shortest pathlength. A global…

Disordered Systems and Neural Networks · Physics 2015-05-19 Markus Brede

Transportation and distribution networks are a class of spatial networks that have been of interest in recent years. These networks are often characterized by the presence of complex structures such as central loops paired with peripheral…

Physics and Society · Physics 2023-01-23 Sebastiano Bontorin , Giulia Cencetti , Riccardo Gallotti , Bruno Lepri , Manlio De Domenico

The problem of communication among nodes in an \emph{extended network} is considered, where radio power decay and interference are limiting factors. It has been shown previously that, with simple multi-hopping, the achievable total…

Networking and Internet Architecture · Computer Science 2008-05-26 Sam Vakil , Ben Liang

We study the efficiency of the gradient mechanism of message transfer in a $2-d$ communication network of regular nodes and randomly distributed hubs. Each hub on the network is assigned some randomly chosen capacity and hubs with lower…

Physics and Society · Physics 2009-11-13 Satyam Mukherjee , Neelima Gupte

The goal of this paper is to increase our understanding of the fundamental performance limits of mobile and Delay Tolerant Networks (DTNs), where end-to-end multi-hop paths may not exist and communication routes may only be available…

Information Theory · Computer Science 2009-03-09 Philippe Jacquet , Bernard Mans , Georgios Rodolakis

Spatial networks are a powerful framework for studying a large variety of systems belonging to a broad diversity of contexts: from transportation to biology, from epidemiology to communications, and migrations, to cite a few. Spatial…

Physics and Society · Physics 2020-04-08 Ignacio Morer , Alessio Cardillo , Albert Diaz-Guilera , Luce Prignano , Sergi Lozano

We study network properties of networks evolving in time based on optimal transport principles. These evolve from a structure covering uniformly a continuous space towards an optimal design in terms of optimal transport theory. At…

Physics and Society · Physics 2023-10-25 Diego Baptista , Caterina De Bacco

To analyze the transport of information or material from a source to every node of a network we use two quantities introduced in the study of river networks: the cost and the flow. For a network with $K$ nodes and $M$ levels, we show that…

Physics and Society · Physics 2015-05-14 L. A. Barbosa , J. K. L. da Silva
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