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We propose a resource distribution strategy to reduce the average travel time in a transportation network given a fixed generation rate. Suppose that there are essential resources to avoid congestion in the network as well as some extra…

统计力学 · 物理学 2015-05-13 Shan He , Sheng Li , Hongru Ma

In Internet environment, traffic flow to a link is typically modeled by superposition of ON/OFF based sources. During each ON-period for a particular source, packets arrive according to a Poisson process and packet sizes (hence service…

概率论 · 数学 2015-08-28 Wanyang Dai

Arrival processes to service systems often display fluctuations that are larger than anticipated under the Poisson assumption, a phenomenon that is referred to as overdispersion. Motivated by this, we analyze a class of discrete stochastic…

We introduce a family of heavy-traffic regimes for large scale service systems, presenting a range of scalings that include both moderate and extreme heavy traffic, as compared to classical heavy traffic. The heavy-traffic regimes can be…

Routing is a widespread approach to transfer information from a source node to a destination node in many deployed wireless ad-hoc networks. Today's implemented routing algorithms seek to efficiently find the path/route with the largest…

信息论 · 计算机科学 2018-10-16 Yahya H. Ezzeldin , Martina Cardone , Christina Fragouli , Daniela Tuninetti

State-of-the-art Internet traffic engineering uses source-based explicit routing via MPLS or Segment Routing. Though widely adopted in practice, source routing can face certain inefficiencies and operational issues, caused by its use of…

网络与互联网体系结构 · 计算机科学 2020-10-27 Klaus Schneider , Beichuan Zhang , Van Sy Mai , Lotfi Benmohamed

A many-server heavy-traffic FCLT is proved for the $G_t/M/s_t+\mathit {GI}$ queueing model, having time-varying arrival rate and staffing, a general arrival process satisfying a FCLT, exponential service times and customer abandonment…

概率论 · 数学 2014-01-17 Yunan Liu , Ward Whitt

Current Internet performs traffic engineering (TE) by estimating traffic matrices on a regular schedule, and allocating flows based upon weights computed from these matrices. This means the allocation is based upon a guess of the traffic in…

网络与互联网体系结构 · 计算机科学 2013-11-06 Kai Su , Cedric Westphal

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…

无序系统与神经网络 · 物理学 2007-07-12 Bogdan Danila , Yong Yu , John A. Marsh , Kevin E. Bassler

To transmit a mixture of real-time and non-real-time traffic in a broadcast system, we impose a basic service rate $r_0$ for real-time traffic and use the excess rate beyond $r_0$ to transmit non-real-time traffic. Considering the…

信息论 · 计算机科学 2015-09-16 Chuang Zhang , Pingyi Fan

In this article, we investigate an artificial traffic model on scale-free networks. Instead of using the routing strategy of the shortest path, a generalized routing algorithm is introduced to improve the transportation throughput, which is…

物理与社会 · 物理学 2007-05-23 Shi-Min Cai , Gang Yan , Tao Zhou , Pei-Ling Zhou , Zhong-Qian Fu , Bing-Hong Wang

We study the earliest arrival problem in road networks with static time-dependent functions as arc weights. We propose and evaluate the following simple algorithm: (1) average the travel time in k time windows, (2) compute a shortest…

数据结构与算法 · 计算机科学 2017-07-03 Ben Strasser

We consider the FCFS $\mathit{GI}/\mathit{GI}/n$ queue in the so-called Halfin-Whitt heavy traffic regime. We prove that under minor technical conditions the associated sequence of steady-state queue length distributions, normalized by…

概率论 · 数学 2013-12-04 David Gamarnik , David A. Goldberg

This paper focuses on two commonly used path assignment policies for agents traversing a congested network: self-interested routing, and system-optimum routing. In the self-interested routing policy each agent selects a path that optimizes…

多智能体系统 · 计算机科学 2017-09-28 Guni Sharon , Michael Albert , Tarun Rambha , Stephen Boyles , Peter Stone

We consider a horizontal traffic queue (HTQ) on a periodic road segment, where vehicles arrive according to a spatio-temporal Poisson process, and depart after traveling a distance that is sampled independently and identically from a…

动力系统 · 数学 2016-05-25 Mohammad Motie , Ketan Savla

We consider multi-component matching systems in heavy traffic consisting of $K\geq 2$ distinct perishable components which arrive randomly over time at high speed at the assemble-to-order station, and they wait in their respective queues…

概率论 · 数学 2024-05-21 Bowen Xie

The ability to predict traffic flow over time for crowded areas during rush hours is increasingly important as it can help authorities make informed decisions for congestion mitigation or scheduling of infrastructure development in an area.…

机器学习 · 计算机科学 2023-04-03 Zann Koh , Yan Qin , Yong Liang Guan , Chau Yuen

We consider the steady-state distribution of the sojourn time of a job entering an M/GI/1 queue with the foreground-background scheduling policy in heavy traffic. The growth rate of its mean, as well as the limiting distribution, are…

概率论 · 数学 2017-12-12 Bart Kamphorst , Bert Zwart

We examine a queue-based random-access algorithm where activation and deactivation rates are adapted as functions of queue lengths. We establish its heavy traffic behavior on a complete interference graph, which turns out to be highly…

概率论 · 数学 2021-06-08 Eyal Castiel , Sem Borst , Laurent Miclo , Florian Simatos , Philip Whiting

In this paper we study the routing and rebalancing problem for a fleet of autonomous vehicles providing on-demand transportation within a congested urban road network (that is, a road network where traffic speed depends on vehicle density).…

系统与控制 · 计算机科学 2016-09-16 Federico Rossi , Rick Zhang , Marco Pavone