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Random walks in random environments (RWRE) model transport in quenched disorder, incorporating spatial heterogeneity, trapping, random drift, and random geometry. This paper summarizes discrete and continuous time formulations, identifies…

Statistical Mechanics · Physics 2026-05-14 Hazel Brookfield , Wei Zhou , Ian Weatherby

In this work we propose, implement, and evaluate GRM, a novel mobility model that accounts for the role of group meeting dynamics and regularity in human mobility. Specifically, we show that existing mobility models for humans do not…

Networking and Internet Architecture · Computer Science 2017-06-27 Ivan O. Nunes , Clayson Celes , Michael D. Silva , Pedro O. S. Vaz de Melo , Antonio A. F. Loureiro

Individual mobility trajectories are difficult to measure and often incur long periods of missingness. Aggregation of this mobility data without accounting for the missingness leads to erroneous results, underestimating travel behavior.…

Methodology · Statistics 2024-10-22 Danielle McCool , Peter Lugtig , Barry Schouten

Maximum entropy random walks (MERWs) are maximally dispersing and play a key role in optimizing information spreading in various contexts. However, building MERWs comes at the cost of knowing beforehand the global structure of the network,…

Statistical Mechanics · Physics 2023-01-24 Gabriele Di Bona , Leonardo Di Gaetano , Vito Latora , Francesco Coghi

Rapid urbanization places increasing stress on already burdened transportation systems, resulting in delays and poor levels of service. Billions of spatiotemporal call detail records (CDRs) collected from mobile devices create new…

Physics and Society · Physics 2014-03-05 Jameson L. Toole , Serdar Colak , Fahad Alhasoun , Alexandre Evsukoff , Marta C. Gonzalez

Random walks are fundamental tools for analyzing complex networked systems, including social networks, biological systems, and communication infrastructures. While classical random walks focus on pairwise interactions, many real-world…

Systems and Control · Electrical Eng. & Systems 2026-03-13 Anqi Dong , Anzhi Sheng , Xin Mao , Can Chen

The random walk with choice is a well known variation to the random walk that first selects a subset of $d$ neighbours nodes and then decides to move to the node which maximizes the value of a certain metric; this metric captures the number…

Data Structures and Algorithms · Computer Science 2010-07-20 John Alexandris , Gregory Karagiorgos 'and' Ioannis Stavrakakis

With increasing popularity of media enabled hand-helds and their integration with the in-vehicle entertainment systems, the need for high data-rate services for mobile users on the go is evident. This ever-increasing demand of data is…

Networking and Internet Architecture · Computer Science 2016-11-15 Zizhan Zheng , Zhixue Lu , Prasun Sinha , Santosh Kumar

This paper presents a dual method of closed-form analysis and lightweight simulation that enables an evaluation of the performance of mobile ad hoc networks that is more realistic, efficient, and accurate than those found in existing…

Information Theory · Computer Science 2016-11-17 Don Torrieri , Salvatore Talarico , Matthew C. Valenti

This paper investigates mobility management strategies from the point of view of their need of signalling and processing resources on the backbone network and load on the air interface. A method is proposed to model the serving network and…

Performance · Computer Science 2008-10-03 Peter Fulop , Benedek Kovacs , Sandor Imre

The main motivation of this work is to assess the validity of a LWR traffic flow model to model measurements obtained from trajectory data, and propose extensions of this model to improve it. A formulation for a discrete dynamical system is…

Signal Processing · Electrical Eng. & Systems 2023-12-06 Mike Pereira , Pinar Boyraz Baykas , Balázs Kulcsár , Annika Lang

Mobile energy resources (MERs) have received increasing attention due to their effectiveness in boosting the power system resilience in a flexible way. In this paper, a novel mobility model for MERs is proposed, which can support the…

Systems and Control · Electrical Eng. & Systems 2022-03-22 Wei Wang , Xiaofu Xiong , Chao Xiao , Bihui Wei

The Ride-Pool Matching Problem (RMP) is central to on-demand ride-pooling services, where vehicles must be matched with multiple requests while adhering to service constraints such as pickup delays, detour limits, and vehicle capacity. Most…

Robotics · Computer Science 2025-03-12 Hao Jiang , Yixing Xu , Pradeep Varakantham

With the ever-growing communication demands and the unceasing miniaturization of mobile devices, the Internet of Things is expanding the amount of mobile terminals to an enormous level. To deal with such numbers of communication data,…

Signal Processing · Electrical Eng. & Systems 2022-04-08 He Zhou , Haibo Zhou , Jianguo Li , Kai Yang , Jianping An , Xuemin , Shen

Given a real-world graph, how can we measure relevance scores for ranking and link prediction? Random walk with restart (RWR) provides an excellent measure for this and has been applied to various applications such as friend recommendation,…

Social and Information Networks · Computer Science 2017-10-19 Woojeong Jin , Jinhong Jung , U Kang

We study a model of wireless networks where users move at speed s, which has the original feature of being defined through a fixed-point equation. Namely, we start from a two-class Processor-Sharing queue to model one representative cell of…

Probability · Mathematics 2019-09-11 Florian Simatos , Alain Simonian

The wide spread use of positioning and photographing devices gives rise to a deluge of traffic trajectory data (e.g., vehicle passage records and taxi trajectory data), with each record having at least three attributes: object ID, location…

Machine Learning · Computer Science 2020-03-18 Meng Chen , Xiaohui Yu , Yang Liu

In empirical studies of random walks, continuous trajectories of animals or individuals are usually sampled over a finite number of points in space and time. It is however unclear how this partial observation affects the measured…

Physics and Society · Physics 2018-03-13 Riccardo Gallotti , Rémi Louf , Jean-Marc Luck , Marc Barthelemy

In this paper, we propose a model for evaluating the transmission performance of multipath transport. Previous researches focused exclusively on single pair users in simple scenarios. The distinct perspective in this paper is to build…

Networking and Internet Architecture · Computer Science 2013-06-19 Chang Liu , Fei Song , Huan Yan , Sidong Zhang

This paper studies a novel mobile relaying technique, where relays of high mobility are employed to assist the communications from source to destination. By exploiting the predictable channel variations introduced by relay mobility, we…

Information Theory · Computer Science 2016-01-26 Yong Zeng , Rui Zhang , Teng Joon Lim