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Motivated by applications that involve setting proper staffing levels for multi-server queueing systems with batch arrivals, we present a thorough study of the queue-length process $\{Q(t); t \geq 0\}$, departure process $\{D(t); t \geq…

Probability · Mathematics 2022-06-20 Andrew Daw , Brian Fralix , Jamol Pender

In the infinite servers queue with Poisson arrivals real life practical applications, the busy period and the busy cycle probabilistic study is of main importance. But it is a very difficult task. In this text, we show that by solving a…

Probability · Mathematics 2022-04-05 Manuel Alberto M. Ferreira

Vehicles on highway on-ramps are one of the leading contributors to congestion. In this paper, we propose a prediction framework that predicts the longitudinal trajectories and lane changes (LCs) of vehicles on highway on-ramps and tapers.…

Machine Learning · Computer Science 2021-08-25 Nachuan Li , Riley Fischer , Wissam Kontar , Soyoung Ahn

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…

Accurate traffic flow prediction, a hotspot for intelligent transportation research, is the prerequisite for mastering traffic and making travel plans. The speed of traffic flow can be affected by roads condition, weather, holidays, etc.…

Machine Learning · Computer Science 2022-12-15 Jianlei Kong , Xiaomeng Fan , Xue-Bo Jin , Min Zuo

Performance analysis of queueing networks is one of the most challenging areas of queueing theory. Barring very specialized models such as product-form type queueing networks, there exist very few results which provide provable…

Optimization and Control · Mathematics 2010-09-22 Dimitris Bertsimas , David Gamarnik , Alexander Rikun

With the rise of big data technologies, many smart transportation applications have been rapidly developed in recent years including bus arrival time predictions. This type of applications help passengers to plan trips more efficiently…

Signal Processing · Electrical Eng. & Systems 2020-03-24 Dairui Liu , Jingxiang Sun , Shen Wang

Real-time safety systems are crucial components of intelligent vehicles. This paper introduces a prediction-based collision risk assessment approach on highways. Given a point mass vehicle dynamics system, a stochastic forward reachable set…

Systems and Control · Electrical Eng. & Systems 2022-05-04 Xinwei Wang , Zirui Li , Javier Alonso-Mora , Meng Wang

To support the adoption of electric transport systems, public charging opportunities are becoming increasingly important. In this dynamic environment, a central challenge for route planning and charging scheduling is forecasting…

Systems and Control · Electrical Eng. & Systems 2026-05-27 Joas Kahlert , Ruiting Wang , Jonas Mårtensson

Backpressure (BP) control was originally used for packet routing in communications networks. Since its first application to network traffic control, it has undergone different modifications to tailor it to traffic problems with promising…

Systems and Control · Electrical Eng. & Systems 2021-01-14 Li Li , Victor Okoth , Saif Eddin Jabari

Crowding in train cars is increasingly a major concern for transit agencies. From the perspective of the passengers and the transit agencies, overcrowding of the train cars has several negative consequences such as: (i) extended duration of…

Signal Processing · Electrical Eng. & Systems 2018-08-22 Peter Khomchuk , Saurav R Tuladhar , Siva Sivananthan

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

We study traffic clearance distributions (i.e., the instantaneous gap between successive vehicles) and time headway distributions by applying Beck and Cohen's superstatistics. We model the transition from free phase to congested phase with…

Physics and Society · Physics 2007-11-15 A. Y. Abul-Magd

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 congestion is usually observed at the upper streams of bottlenecks such as tunnels. Congestion appears as stop-and-go waves and high density uniform flow. We perform simulations of traffic flow with a bottleneck using the coupled…

Physics and Society · Physics 2007-05-23 Syohei Yamamoto , Yasuhiro Hieida , Shin-ichi Tadaki

Platooning of connected and autonomous vehicles (CAVs) is an emerging technology with a strong potential for throughput improvement and fuel reduction. Adequate macroscopic models are critical for system-level efficiency and reliability of…

Systems and Control · Electrical Eng. & Systems 2021-03-29 Haoran Su , Zhengjie Ji , Karl. H. Johansson , Li Jin

This paper proposes a totally asymmetric simple exclusion process on a traveling lane, which is equipped with a queueing system and functions of site assignments along the parking lane. In the proposed system, new particles arrive at the…

Cellular Automata and Lattice Gases · Physics 2018-10-10 Satori Tsuzuki , Daichi Yanagisawa , Katsuhiro Nishinari

In many cognitive radio applications, there are multiple types of message queues. Existing queueing analysis works in underlay CR networks failed to discuss packets heterogeneity. Therefore high priority packets with impatient waiting time…

Networking and Internet Architecture · Computer Science 2017-06-27 Long Chen , Liusheng Huang , Hongli Xu , Jie Hu

This paper presents an effective framework for estimating time of arrival of vehicles (buses) in an Intelligent Transit Management System (ITMS) having sparse position updates. Our contributions towards this is firstly in implementing a…

Systems and Control · Electrical Eng. & Systems 2023-11-22 Shivika Sharma , Nandini Mawane , Dhruthick Gowda M , Mayur Taware , Chetan Kumar , Yash Chandrashekhar Dixit , Rakshit Ramesh

Consider an M/M/$s$ queue with the additional feature that the arrival rate is a random variable of which only the mean, variance, and range are known. Using semi-infinite linear programming and duality theory for moment problems, we…