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Multi-section license plate recognition (LPR) data provides input-output information and sampled travel times of the investigated link, serving as an ideal data source for lane-based queue length estimation in recent studies. However, most…

Signal Processing · Electrical Eng. & Systems 2024-08-14 Lyuzhou Luo , Hao Wu , Jiahao Liu , Keshuang Tang , Chaopeng Tan

Bus bunching is ostensibly regarded as a detrimental phenomenon in bus systems. We study a bus loop with two bus stops, one regular and one spike bus stop, where bunched buses can outperform staggered buses. The spike bus stop models a bus…

Physics and Society · Physics 2022-01-10 Luca Vismara , Vee-Liem Saw , Lock Yue Chew

In a circuit-switched network, traffic can be characterized by several factors that define how communication resources are allocated and utilized during a connection. The amount of traffic basically determines how frequently connection…

Networking and Internet Architecture · Computer Science 2025-03-19 Paresh Upadhyay , Yatindra Nath Singh

Understanding the detailed queueing behavior of a networking session is critical in enabling low-latency services over the Internet. Especially when the packet arrival and service rates at the queue of a link vary over time and moreover…

Networking and Internet Architecture · Computer Science 2017-04-25 Wonjun Hwang , Yoora Kim , Kyunghan Lee

Motivated by demand prediction for the custodial prison population in England and Wales, this paper describes an approach to the study of service systems using infinite server queues, where the system has non-empty initial state and the…

Applications · Statistics 2023-02-23 Nikki Sonenberg , Victoria Volodina , Peter G. Challenor , Jim Q. Smith

The dramatic growth in cellular traffic volume requires cellular network operators to develop strategies to carefully dimension and manage the available network resources. Forecasting traffic volumes is a fundamental building block for any…

Networking and Internet Architecture · Computer Science 2022-07-05 Andrea Pimpinella , Federico Di Giusto , Alessandro Redondi , Luisa Venturini , Andrea Pavon

In urban settings, bus transit stands as a significant mode of public transportation, yet faces hurdles in delivering accurate and reliable arrival times. This discrepancy often culminates in delays and a decline in ridership, particularly…

Machine Learning · Computer Science 2024-03-05 Narges Rashvand , Sanaz Sadat Hosseini , Mona Azarbayjani , Hamed Tabkhi

Work zone is one of the major causes of non-recurrent traffic congestion and road incidents. Despite the significance of its impact, studies on predicting the traffic impact of work zones remain scarce. In this paper, we propose a data…

Machine Learning · Computer Science 2024-06-03 Qinhua Jiang , Xishun Liao , Yaofa Gong , Jiaqi Ma

We consider queueing models, where customers arrive according to a continuous-time binomial process on a finite interval. In this arrival process, a total of $K$ customers arrive in the finite time interval $[0,T]$, where arrival times of…

Probability · Mathematics 2024-12-10 Kaito Hayashi , Yoshiaki Inoue , Tetsuya Takine

We investigate the adaptation of the time headways in car-following models as a function of the local velocity variance, which is a measure of the inhomogeneity of traffic flow. We apply this mechanism to several car-following models and…

Physics and Society · Physics 2007-08-08 Martin Treiber , Arne Kesting , Dirk Helbing

We study the performance of random linear network coding for time division duplexing channels with Poisson arrivals. We model the system as a bulk-service queue with variable bulk size. A full characterization for random linear network…

Information Theory · Computer Science 2009-03-26 Daniel E. Lucani , Muriel Médard , Milica Stojanovic

In discrete time, $\ell$-blocks of red lights are separated by $\ell$-blocks of green lights. Cars arrive at random. We seek the distribution of maximum line length of idle cars, and justify conjectured probabilistic asymptotics for $2 \leq…

Probability · Mathematics 2019-01-23 Steven Finch , Guy Louchard

In this article, we study the classical shortest queue problem under the influence of malicious attacks, which is relevant to a variety of engineering system including transportation, manufacturing, and communications. We consider a…

Systems and Control · Electrical Eng. & Systems 2019-10-02 Yu Tang , Yining Wen , Li Jin

The vision of automated driving is to increase both road safety and efficiency, while offering passengers a convenient travel experience. This requires that autonomous systems correctly estimate the current traffic scene and its likely…

Machine Learning · Computer Science 2019-07-26 David Augustin , Marius Hofmann , Ulrich Konigorski

When the arrival processes are Poisson, queueing networks are well-understood in terms of the product-form structure of the number of jobs $N_i$ at the individual queues; much less is known about the waiting time $W$ across the whole…

Probability · Mathematics 2023-04-21 Florin Ciucu , Sima Mehri

To leverage prediction models to make optimal scheduling decisions in service systems, we must understand how predictive errors impact congestion due to externalities on the delay of other jobs. Motivated by applications where prediction…

Optimization and Control · Mathematics 2026-01-06 Jiung Lee , Hongseok Namkoong , Yibo Zeng

We consider a point process $i+\xi_i$, where $i\in \bZ$ and the $\xi_{i}$'s are i.i.d. random variables with variance $\sigma^{2}$. This process, with a suitable rescaling of the distribution of $\xi_i$'s, converges to the Poisson process…

Probability · Mathematics 2009-02-11 G. Guadagni , S. Ndreca , B. Scoppola

Traffic prediction plays a vital role in efficient planning and usage of network resources in wireless networks. While traffic prediction in wired networks is an established field, there is a lack of research on the analysis of traffic in…

Networking and Internet Architecture · Computer Science 2019-06-04 Amin Azari , Panagiotis Papapetrou , Stojan Denic , Gunnar Peters

We consider the load balancing system under Poisson arrivals, exponential services, and homogeneous servers. Upon arrival, a job is to be routed to one of the servers, where it is queued until service. We consider the Power-of-$d$ choices…

Probability · Mathematics 2025-03-26 Sushil Mahavir Varma , Francisco Castro , Siva Theja Maguluri

Providing transport users and operators with accurate forecasts on travel times is challenging due to a highly stochastic traffic environment. Public transport users are particularly sensitive to unexpected waiting times, which negatively…

Applications · Statistics 2022-02-25 Hector Rodriguez-Deniz , Mattias Villani