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In this paper, we investigate the delay-throughput trade-offs in mobile ad-hoc networks under two-dimensional i.i.d. mobility models. We consider two mobility time-scales: (i) Fast mobility where node mobility is at the same time-scale as…

Networking and Internet Architecture · Computer Science 2007-07-13 Lei Ying , Sichao Yang , R. Srikant

In this paper, by using two different techniques we derive an explicit formula for the mean first-passage time (MFPT) between any pair of nodes on a general undirected network, which is expressed in terms of eigenvalues and eigenvectors of…

Statistical Mechanics · Physics 2012-01-04 Zhongzhi Zhang , Alafate Julaiti , Baoyu Hou , Hongjuan Zhang , Guanrong Chen

We introduce the {\Delta}(i)/GI/1 queue, a new queueing model. In this model, customers from a given population independently sample a time to arrive from some given distribution F. Thus, the arrival times are an ordered statistics, and the…

Probability · Mathematics 2014-12-09 Harsha Honnappa , Rahul Jain , Amy R. Ward

Relaying is an effective technique to achieve reliable wireless connectivity in harsh communication environment. However, most of the existing relaying schemes are based on relays with fixed locations, or \emph{static relaying}. In this…

Information Theory · Computer Science 2016-04-12 Yong Zeng , Rui Zhang , Teng Joon Lim

We consider the problem of distributed scheduling in wireless networks where heterogeneously delayed information about queue lengths and channel states of all links are available at all the transmitters. In an earlier work (by Reddy et al.…

Networking and Internet Architecture · Computer Science 2016-01-12 Srinath Narasimha , Joy Kuri , Albert Sunny

We study diffusion with a bias towards a target node in networks. This problem is relevant to efficient routing strategies in emerging communication networks like optical networks. Bias is represented by a probability $p$ of the…

Physics and Society · Physics 2013-08-05 Loukas Skarpalezos , Aristotelis Kittas , Panos Argyrakis , Reuven Cohen , Shlomo Havlin

We present a general framework, applicable to a broad class of random walks on complex networks, which provides a rigorous lower bound for the mean first-passage time of a random walker to a target site averaged over its starting position,…

Statistical Mechanics · Physics 2015-05-14 V. Tejedor , O. Bénichou , R. Voituriez

Reduction of end-to-end network delays is an optimization task with applications in multiple domains. Low delays enable improved information flow in social networks, quick spread of ideas in collaboration networks, low travel times for…

Databases · Computer Science 2016-09-28 Sourav Medya , Petko Bogdanov , Ambuj Singh

Extensive empirical investigation has shown that a plethora of real networks synchronously exhibit scale-free and modular structure, and it is thus of great importance to uncover the effects of these two striking properties on various…

Statistical Mechanics · Physics 2012-01-05 Zhongzhi Zhang , Yihang Yang , Yuan Lin

Two-way relaying can significantly improve performance of next generation wireless networks. However, due to its dependence on multi-node cooperation and transmission coordination, applying this technique to a wireless network in an…

Information Theory · Computer Science 2012-07-27 Wenguang Mao , Xudong Wang

We analyse the so-called small-world network model (originally devised by Strogatz and Watts), treating it, among other things, as a case study of non-linear coupled difference or differential equations. We derive a system of evolution…

Statistical Mechanics · Physics 2016-08-31 Andreas Lochmann , Manfred Requardt

Capacity scaling laws are analyzed in an underwater acoustic network with $n$ regularly located nodes on a square, in which both bandwidth and received signal power can be limited significantly. A narrow-band model is assumed where the…

Information Theory · Computer Science 2011-03-29 Won-Yong Shin , Daniel E. Lucani , Muriel Medard , Milica Stojanovic , Vahid Tarokh

In general, the power-law degree distribution has profound influence on various dynamical processes defined on scale-free networks. In this paper, we will show that power-law degree distribution alone does not suffice to characterize the…

Statistical Mechanics · Physics 2009-12-09 Zhongzhi Zhang , Weilen Xie , Shuigeng Zhou , Mo Li , Jihong Guan

We consider a wireless network comprising $n$ nodes located within a circular area of radius $R$, which are participating in a decentralized learning algorithm to optimize a global objective function using their local datasets. To enable…

Information Theory · Computer Science 2020-02-12 Navid Naderializadeh

This paper studies the delay constrained multicast capacity of large scale mobile ad hoc networks (MANETs). We consider a MANET consists of $n_s$ multicast sessions. Each multicast session has one source and $p$ destinations. The wireless…

Networking and Internet Architecture · Computer Science 2009-08-17 Shan Zhou , Lei Ying

In this paper, we consider a bidirectional relay network with half-duplex nodes and block fading where the nodes transmit with a fixed transmission rate. Thereby, user 1 and user 2 exchange information only via a relay node, i.e., a direct…

Information Theory · Computer Science 2016-11-15 Vahid Jamali , Nikola Zlatanov , Robert Schober

We study a model for a random walk of two classes of particles (A and B). Where both species are present in the same site, the motion of A's takes precedence over that of B's. The model was originally proposed and analyzed in Maragakis et…

Disordered Systems and Neural Networks · Physics 2015-01-28 Nikolaos Bastas , Michalis Maragakis , Panos Argyrakis , Daniel ben-Avraham , Shlomo Havlin , Shai Carmi

We propose the Temporal Walk Centrality, which quantifies the importance of a node by measuring its ability to obtain and distribute information in a temporal network. In contrast to the widely-used betweenness centrality, we assume that…

Social and Information Networks · Computer Science 2022-02-09 Lutz Oettershagen , Petra Mutzel , Nils M. Kriege

Time-sensitive services (TSSs) have been widely envisioned for future sixth generation (6G) wireless communication networks. Due to its inherent low-latency advantage, mobile edge computing (MEC) will be an indispensable enabler for TSSs.…

Signal Processing · Electrical Eng. & Systems 2020-09-28 Jianyu Cao , Wei Feng , Ning Ge , Jianhua Lu

Random walks on expanders play a crucial role in Markov Chain Monte Carlo algorithms, derandomization, graph theory, and distributed computing. A desirable property is that they are rapidly mixing, which is equivalent to having a spectral…

Probability · Mathematics 2024-12-18 Sam Olesker-Taylor , Thomas Sauerwald , John Sylvester