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In this paper, we consider the performance of a random-access time-slotted wireless network with a single access point and a mix of half- and full- duplex stations. Full-duplex transmissions involve data transmitted simultaneously in both…

信息论 · 计算机科学 2014-07-15 Vaneet Aggarwal , N. K. Shankaranarayanan

We study a general mass transport model on an arbitrary graph consisting of $L$ nodes each carrying a continuous mass. The graph also has a set of directed links between pairs of nodes through which a stochastic portion of mass, chosen from…

统计力学 · 物理学 2007-05-23 M. R. Evans , Satya N. Majumdar , R. K. P. Zia

We show that the capacity of a complex network that models a city street grid to support congested traffic can be optimized by using routes that collectively minimize the maximum ratio of betweenness to capacity in any link. Networks with a…

物理与社会 · 物理学 2011-11-24 Bogdan Danila , Yudong Sun , Kevin E. Bassler

We study the mixing time of the unit-rate zero-range process on the complete graph, in the regime where the number $n$ of sites tends to infinity while the density of particles per site stabilizes to some limit $\rho>0$. We prove that the…

概率论 · 数学 2018-04-13 Mathieu Merle , Justin Salez

We live in a world increasingly dominated by networks -- communications, social, information, biological etc. A central attribute of many of these networks is that they are dynamic, that is, they exhibit structural changes over time. While…

网络与互联网体系结构 · 计算机科学 2010-12-02 Prithwish Basu , Amotz Bar-Noy , Ram Ramanathan , Matthew P. Johnson

Reversible Probabilistic Cellular Automata are a special class of automata whose stationary behavior is described by Gibbs-like measures. For those models the dynamics can be trapped for a very long time in states which are very different…

数学物理 · 物理学 2016-03-30 Emilio N. M. Cirillo , Francesca R. Nardi , Cristian Spitoni

This paper investigates the performance of streaming codes in low-latency applications over a multi-link three-node relayed network. The source wishes to transmit a sequence of messages to the destination through a relay. Each message must…

信息论 · 计算机科学 2022-01-19 Gustavo Kasper Facenda , Elad Domanovitz , Ashish Khisti , Wai-Tian Tan , John Apostolopoulos

We use fluid limits to explore the (in)stability properties of wireless networks with queue-based random-access algorithms. Queue-based random-access schemes are simple and inherently distributed in nature, yet provide the capability to…

网络与互联网体系结构 · 计算机科学 2013-02-26 Javad Ghaderi , Sem Borst , Phil Whiting

We study a problem of scheduling real-time traffic with hard delay constraints in an unreliable wireless channel. Packets arrive at a constant rate to the network and have to be delivered within a fixed number of slots in a fading wireless…

网络与互联网体系结构 · 计算机科学 2013-12-19 Easwar Vivek Mangipudi , Venkatesh Ramaiyan

A sequence of Markov chains is said to exhibit (total variation) cutoff if the convergence to stationarity in total variation distance is abrupt. We consider reversible lazy chains. We prove a necessary and sufficient condition for the…

概率论 · 数学 2018-01-19 Riddhipratim Basu , Jonathan Hermon , Yuval Peres

We study the mixing time of random walks on small-world networks modelled as follows: starting with the 2-dimensional periodic grid, each pair of vertices $\{u,v\}$ with distance $d>1$ is added as a "long-range" edge with probability…

离散数学 · 计算机科学 2020-02-27 Martin E. Dyer , Andreas Galanis , Leslie Ann Goldberg , Mark Jerrum , Eric Vigoda

Consider the interchange process on a connected graph $G=(V,E)$ on $n$ vertices. I.e.\ shuffle a deck of cards by first placing one card at each vertex of $G$ in a fixed order and then at each tick of the clock, picking an edge uniformly at…

概率论 · 数学 2012-10-26 Johan Jonasson

This article studies the reliability of multi-hop routing in a multi-tier hybrid satellite-terrestrial relay network (HSTRN). We evaluate the reliability of multi-hop routing by introducing interruption probability, which is the probability…

网络与互联网体系结构 · 计算机科学 2023-03-07 Ruibo Wang , Mustafa A. Kishk , Mohamed-Slim Alouini

Congestion and extreme events in transportation networks are emergent phenomena with significant socio-economic implications. In this work, we study congestion and extreme event properties on real urban street (planar) networks drawn from…

物理与社会 · 物理学 2025-05-22 Ajay Agarwal , M. S. Santhanam

Relay networks having $n$ source-to-destination pairs and $m$ half-duplex relays, all operating in the same frequency band in the presence of block fading, are analyzed. This setup has attracted significant attention and several relaying…

信息论 · 计算机科学 2016-11-15 Shengshan Cui , Alexander M. Haimovich , Oren Somekh , H. Vincent Poor

Advanced integration of logistics systems has been promoted for the sake of competitiveness and sustainability. Such efforts will enable more globally optimal and flexible operations by efficiently utilizing transportation capacity. At the…

物理与社会 · 物理学 2022-03-29 Takahiro Ezaki , Naoto Imura , Katsuhiro Nishinari

Since the packet is transmitted to a set of relaying nodes in opportunistic routing strategy, so the transmission delay and the duplication transmission are serious. For reducing the transmission delay and the duplicate transmission, in…

网络与互联网体系结构 · 计算机科学 2017-09-26 Ning Li , Jose-Fernan Martinez-Ortega , Vicente Hernandez Diaz

In random access protocols, the service rate depends on the number of stations with a packet buffered for transmission. We demonstrate via numerical analysis that this state-dependent rate along with the consideration of Poisson traffic and…

网络与互联网体系结构 · 计算机科学 2014-05-23 Cristina Cano , David Malone

Opportunistic scheduling and beamforming schemes are proposed for multiuser MIMO-SDMA downlink systems with linear combining in this work. Signals received from all antennas of each mobile terminal (MT) are linearly combined to improve the…

信息论 · 计算机科学 2016-11-18 Man-On Pun , Visa Koivunen , H. Vincent Poor

Suppose sender-receiver transmission links in a downlink network at given data rate are subject to fading, path-loss and inter-cell interference, and that transmissions either pass, suffer loss, or incur retransmission delay. We introduce a…

概率论 · 数学 2023-06-29 Ingemar Kaj , Taisiia Morozova