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This paper discusses the real-time prediction of queue lengths from probe vehicles for the Bunch arrival headways at an isolated intersection for undersaturated conditions. The paper incorporates the bunching effect of the traffic into the…

Applications · Statistics 2020-01-17 Gurcan Comert , Stacey Franklin Jones

Understanding how delayed information impacts queueing systems is an important area of research. However, much of the current literature neglects one important feature of many queueing systems, namely non-stationary arrivals. Non-stationary…

Dynamical Systems · Mathematics 2017-01-20 Jamol Pender , Richard H. Rand , Elizabeth Wesson

Traffic state estimation plays an important role in facilitating effective traffic management. This study develops a combinatorial approach for nonparametric short-term queue length estimation in terms of cycle-by-cycle partially observed…

Methodology · Statistics 2021-12-10 Gurcan Comert , Tewodros Amdeberhan , Negash Begashaw , Mashrur Chowdhury

In many important real-world queueing settings, arrival and service rates fluctuate over time. We consider the MAMS system, where the arrival and service rates each vary according to an arbitrary finite-state Markov chain, allowing…

Performance · Computer Science 2024-10-02 Isaac Grosof , Yige Hong , Mor Harchol-Balter

Two models of a queue are proposed: a human queue and two lines of vehicles before a narrowing. In both models, a queuer tries to evaluate his waiting time, taking into account the delay caused by intruders who jump to the queue front. As…

Physics and Society · Physics 2023-07-19 M. J. Krawczyk , P. Gronek , M. Nawojczyk , K. Kulakowski

This work develops a methodology for studying the effect of an offload zone on the ambulance ramping problem using a multi-server, multi-class non-preemptive priority queueing model that can be treated analytically. A prototype model for…

Systems and Control · Electrical Eng. & Systems 2024-02-01 Josef Zuk , David Kirszenblat

Metro systems in megacities such as Beijing, Shenzhen and Guangzhou are under great passenger demand pressure. During peak hours, it is common to see oversaturated conditions (i.e., passenger demand exceeds network capacity), which bring…

Applications · Statistics 2023-01-18 Kangli Zhu , Zhanhong Cheng , Jianjun Wu , Fuya Yuan , Lijun Sun

Overlap times have been studied as a way of understanding the time of interaction between customers in a service facility. Most of the previous analysis relies on the single jump assumption for arrivals, which implies the queue increases by…

Probability · Mathematics 2023-02-16 Sergio D Palomo , Jamol Pender

Rather than directly considering the queuing delay of data, this memo focuses on reducing the delay that congestion signals experience within a queue management algorithm, which can be greater than the delay that the data itself experiences…

Networking and Internet Architecture · Computer Science 2019-04-16 Bob Briscoe

This paper studies the asymptotic behavior of the steady-state waiting time, W_infty, of the M/G/1 queue with subexponenential processing times for different combinations of traffic intensities and overflow levels. In particular, we provide…

Probability · Mathematics 2011-03-22 Mariana Olvera-Cravioto , Peter W. Glynn

This paper considers an unsignalized intersection used by two traffic streams. A stream of cars is using a primary road, and has priority over the other, low-priority, stream. Cars belonging to the latter stream cross the primary road if…

Optimization and Control · Mathematics 2018-02-21 Abhishek , Marko Boon , Michel Mandjes , Rudesindo Núñez-Queija

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…

Probability · Mathematics 2024-05-21 Bowen Xie

This paper analyzes the potential effects of connected and automated vehicles on saturation headway and capacity at signalized intersections. A signalized intersection is created in Vissim as a testbed, where four vehicle types are modeled…

Optimization and Control · Mathematics 2022-12-21 Ali Hajbabaie , Mehrdad Tajalli , Eleni Bardaka

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…

Dynamical Systems · Mathematics 2016-05-25 Mohammad Motie , Ketan Savla

We study the heavy-traffic limit of the generalized switch operating under MaxWeight, without assuming that the CRP condition is satisfied and allowing for correlated arrivals. The main contribution of this paper is the steady-state mean of…

Probability · Mathematics 2021-03-03 D. Hurtado-Lange , S. T. Maguluri

This paper addresses the analysis of the queue-length process of single-server queues under overdispersion, i.e., queues fed by an arrival process for which the variance of the number of arrivals in a given time window exceeds the…

Probability · Mathematics 2020-04-21 Onno Boxma , Mariska Heemskerk , Michel Mandjes

In this paper we analyze the average queue backlog in a combined input-output queued switch using a maximal size matching scheduling algorithm. We compare this average backlog to the average backlog achieved by an optimal switch. We model…

Networking and Internet Architecture · Computer Science 2007-05-23 Randy Cogill , Sanjay Lall

Tandem queues with finite buffer capacity commonly exist in practical applications. By viewing a tandem queue as an integrated system, an innovative approach has been developed to analyze its performance through the insight from reduction…

Performance · Computer Science 2016-06-02 Kan Wu , Ning Zhao

Recent work in decentralized, schedule-driven traffic control has demonstrated the ability to significantly improve traffic flow efficiency in complex urban road networks. However, in situations where vehicle volumes increase to the point…

Artificial Intelligence · Computer Science 2019-03-12 Hsu-Chieh Hu , Stephen F. Smith

The rapid development of connected vehicle technology and the emergence of ride-hailing services have enabled the collection of a tremendous amount of probe vehicle trajectory data. Due to the large scale, the trajectory data have become a…

Physics and Society · Physics 2019-08-16 Yan Zhao , Jianfeng Zheng , Wai Wong , Xingmin Wang , Yuan Meng , Henry X. Liu
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