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Routing mechanisms for stochastic networks are often designed to produce state space collapse (SSC) in a heavy-traffic limit, i.e., to confine the limiting process to a lower-dimensional subset of its full state space. In a fluid limit, a…

概率论 · 数学 2014-07-29 Ohad Perry , Ward Whitt

This work considers a many-server queueing system in which impatient customers with i.i.d., generally distributed service times and i.i.d., generally distributed patience times enter service in the order of arrival and abandon the queue if…

概率论 · 数学 2010-11-15 Weining Kang , Kavita Ramanan

Maximum entropy modeling is a flexible and popular framework for formulating statistical models given partial knowledge. In this paper, rather than the traditional method of optimizing over the continuous density directly, we learn a smooth…

统计方法学 · 统计学 2017-05-01 Gabriel Loaiza-Ganem , Yuanjun Gao , John P. Cunningham

Urban traffic congestion is a chronic problem faced by many cities in the US and worldwide. It results in inefficient infrastructure use as well as increased vehicle fuel consumption and emission levels. Congestion is intertwined with…

系统与控制 · 电气工程与系统科学 2020-03-04 Youssef Bichiou , Maha Elouni , Hossam M. Abdelghaffar , Hesham A. Rakha

We study many-server queues with abandonment in which customers have general service and patience time distributions. The dynamics of the system are modeled using measure- valued processes, to keep track of the residual service and patience…

概率论 · 数学 2013-08-27 Jiheng Zhang

A queueing model has $J\ge2$ heterogeneous service stations, each consisting of many independent servers with identical capabilities. Customers of $I\ge2$ classes can be served at these stations at different rates, that depend on both the…

概率论 · 数学 2007-05-23 Rami Atar , Avi Mandelbaum , Gennady Shaikhet

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

The congestion formation on a urban road network is one of the key issue for the development of a sustainable mobility in the future smart cities. In this work we propose a reductionist approach studying the stationary states of a simple…

物理与社会 · 物理学 2024-05-28 Lorenzo Di Meco , Mirko Degli Esposti , Federico Bellisardi , Armando Bazzani

In this work we present a model of an air transportation traffic system from the complex network modelling viewpoint. In the network, every node corresponds to a given airport, and two nodes are connected by means of flight routes. Each…

物理与社会 · 物理学 2015-05-13 Lucas Lacasa , Miguel Cea , Massimiliano Zanin

Dynamical flow networks serve as macroscopic models for, e.g., transportation networks, queuing networks, and distribution networks. While the flow dynamics in such networks follow the conservation of mass on the links, the outflow from…

系统与控制 · 电气工程与系统科学 2023-05-23 Gustav Nilsson , Samuel Coogan

We consider a multihop wireless system. There are multiple source-destination pairs. The data from a source may have to pass through multiple nodes. We obtain a channel scheduling policy which can guarantee end-to-end mean delay for the…

网络与互联网体系结构 · 计算机科学 2018-11-27 Ashok Krishnan K. S. , Vinod Sharma

High-performance computing (HPC) systems increasingly support both scalable AI training and large-scale simulation workloads. Both typically rely heavily on collective communication operations. On modern supercomputers, however, network…

The occurrence of diffusion on a graph is a prevalent and significant phenomenon, as evidenced by the spread of rumors, influenza-like viruses, smart grid failures, and similar events. Comprehending the behaviors of flow is a formidable…

社会与信息网络 · 计算机科学 2023-08-09 Zijian Zhang , Zonghan Zhang , Zhiqian Chen

We introduce a cellular automaton model coupled with a transport equation for flows on graphs. The direction of the flow is described by a switching process where the switching probability dynamically changes according to the value of the…

元胞自动机与格子气 · 物理学 2013-07-02 Pierre Degond , Michael Herty , Jian-Guo Liu

We consider the capacity problem for wireless networks. Networks are modeled as random unit-disk graphs, and the capacity problem is formulated as one of finding the maximum value of a multicommodity flow. In this paper, we develop a proof…

信息论 · 计算机科学 2007-07-13 Christina Peraki , Sergio D. Servetto

Every driver knows that severe weather conditions cause traffic congestions. In many cases there is no direct reason for the congestion, and people tend to attribute it to the slow driving mode. Our computational study shows that the slow…

混沌动力学 · 物理学 2008-12-15 Azi Lipshtat

Given two independent point processes and a certain rule for matching points between them, what is the fraction of matched points over infinitely long streams? In many application contexts, e.g., secure networking, a meaningful matching…

信息论 · 计算机科学 2016-11-17 Stefano Marano , Vincenzo Matta , Ting He , Lang Tong

Active biological flow networks pervade nature and span a wide range of scales, from arterial blood vessels and bronchial mucus transport in humans to bacterial flow through porous media or plasmodial shuttle streaming in slime molds.…

生物物理 · 物理学 2016-07-28 Francis G. Woodhouse , Aden Forrow , Joanna B. Fawcett , Jörn Dunkel

We present a study of transport on complex networks with routing based on local information. Particles hop from one node of the network to another according to a set of routing rules with different degrees of congestion awareness, ranging…

统计力学 · 物理学 2007-07-12 Bogdan Danila , Yong Yu , Samuel Earl , John A. Marsh , Zoltan Toroczkai , Kevin E. Bassler

Network traffic analysis increasingly uses complex machine learning models as the internet consolidates and traffic gets more encrypted. However, over high-bandwidth networks, flows can easily arrive faster than model inference rates. The…

网络与互联网体系结构 · 计算机科学 2024-10-25 Shinan Liu , Ted Shaowang , Gerry Wan , Jeewon Chae , Jonatas Marques , Sanjay Krishnan , Nick Feamster