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If a bus line becomes unstable, passengers waiting time will be lengthened and buses capacities will be mismatched. To stabilize a high-frequency bus line, many holding strategies have been proposed. Among these strategies, some need to…

系统与控制 · 电气工程与系统科学 2020-06-17 Shengxue He

Several authors have noted that in a non-regulated environment the development of public transport service is self-adjusting: Faced with a decreasing demand, operators will tend to reduce service to cut costs, resulting in a decrease in the…

物理与社会 · 物理学 2012-11-27 Asaf Bar-Yosef , Karel Martens , Itzhak Benenson

Bus bunching is a curse of transportation systems such as buses in a loop. Here we present an analytical method to find the number of revolutions before two buses bunch in an idealised system, as a function of the initial distance and the…

统计力学 · 物理学 2021-04-30 Luca Vismara , Vee-Liem Saw , Lock Yue Chew

A major source of delays in public transportation is the clustering instability, which causes late buses to become progressively later while the buses trailing it become progressively earlier. In this paper, we study this instability and…

物理与社会 · 物理学 2023-08-21 Sam A. Hill

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…

物理与社会 · 物理学 2022-01-10 Luca Vismara , Vee-Liem Saw , Lock Yue Chew

Bus bunching is a perennial phenomenon that not only diminishes the efficiency of a bus system, but also prevents transit authorities from keeping buses on schedule. We present a physical theory of buses serving a loop of bus stops as a…

物理与社会 · 物理学 2020-04-30 Vee-Liem Saw , Ning Ning Chung , Wei Liang Quek , Yi En Ian Pang , Lock Yue Chew

It is commonly seen that buses are blocked by the ones in front serving passengers and have to queue outside a curbside bus stop although there are vacant berths at the stop. The resultant bus delays degrade the service level of urban…

最优化与控制 · 数学 2021-11-30 Wanjing Ma , Shiqi Ou , Chunhui Yu

The unreliable service and the unstable operation of a high frequency bus line are shown as bus bunching and the uneven distribution of headways along the bus line. Although many control strategies, such as the static and dynamic holding…

最优化与控制 · 数学 2021-03-02 Sheng-Xue He , Jian-Jia He , Shi-Dong Liang , June Qiong Dong , Peng-Cheng Yuan

The stochastic nature of public transport systems leads to headway variability and bus bunching, causing both operator and passenger cost to increase significantly. Traditional strategies to counter bus bunching, including bus-holding,…

系统与控制 · 电气工程与系统科学 2023-01-26 Zaid Saeed Khan , Weili He , Monica Menendez

In this paper, we consider a time-headway model, introduced in Physica A 296:320 (2001), for buses on a bus route. By including a simple no-passing rule, we are able to enumerate and study the unstable modes of a homogeneous system. We then…

统计力学 · 物理学 2009-11-10 Scott A. Hill

This paper proposes a stochastic framework to evaluate the performance of public transit systems under short random service suspensions. We aim to derive closed-form formulations of the mean and variance of the queue length and waiting…

概率论 · 数学 2023-01-04 Baichuan Mo , Li Jin , Haris N. Koutsopoulos , Zuo-Jun Max Shen , Jinhua Zhao

Urban mobility involves many interacting components: buses, cars, commuters, pedestrians, trains etc., making it a very complex system to study. Even a bus system responsible for delivering commuters from their origins to their destinations…

物理与社会 · 物理学 2021-02-09 Vee-Liem Saw , Luca Vismara , Lock Yue Chew

We examine special lanes used by taxis and other shared-ride services to drop-off patrons at airport and rail terminals. Vehicles are prohibited from overtaking each other within the lane. They must therefore wait in a first-in-first-out…

应用统计 · 统计学 2019-10-08 Fangyi Yang , Weihua Gu , Michael Cassidy , Xin Li , Tiezhu Li

This mathematical recreation extends the analysis of a recent paper, asking when a traveller at a bus stop and not knowing the time of the next bus is best advised to wait or to start walking toward the destination. A detailed analysis and…

历史与综述 · 数学 2008-02-26 Anthony B. Morton

Long school bus rides adversely affect student performance and well-being. Rural school bus rides are particularly long, incentivizing parents to drive their children to school rather than to opt for the school bus. This in turn exacerbates…

最优化与控制 · 数学 2025-07-29 Prabhat Hegde , Vikrant Vaze

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…

应用统计 · 统计学 2023-01-18 Kangli Zhu , Zhanhong Cheng , Jianjun Wu , Fuya Yuan , Lijun Sun

Due to the stochastic nature of departure operations, working at full capacity makes major US airports very sensitive to uncertainties. Consequently, airport ground operations face critically congested taxiways and long runway queues. In…

其他计算机科学 · 计算机科学 2008-07-08 Pierrick Burgain , Eric Feron , John-Paul Clarke

Bus bunching and unevenly dispersed buses along a bus line lead to a low service level and deteriorate the operational stability of the bus line. Speed adjustment as a control means has been proposed to solve the above problem. But due to…

最优化与控制 · 数学 2020-06-17 Shengxue He

Anticipation in traffic means that drivers estimate their leaders' velocities for future timesteps. In the article a specific stochastic car--following model with non--unique flow--density relation is investigated with respect to…

统计力学 · 物理学 2009-11-10 Nils Eissfeldt , Peter Wagner

A simple periodically driven system displaying rich behavior is introduced and studied. The system self-organizes into a mosaic of static ordered regions with three possible patterns, which are threaded by one-dimensional paths on which a…

统计力学 · 物理学 2015-03-24 Daniel Hexner , Dov Levine
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