Effect of periodic inflow on speed-controlled shuttle bus

Nagatani, Takashi

doi:10.1016/j.physa.2016.11.017

Cited by 7 publications

(4 citation statements)

References 48 publications

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“…Scholars also studied speed guidance from the perspective of improving bus punctuality since it enhances the bus operation reliability. Takashi developed an inter-station control strategy that coordinates speed guidance and signal control based on punctuality demands for bus arrivals, leading to improved reliability of bus arrivals [14]. Yan proposed a real-time bus speed control strategy to minimize the mean absolute error of bus headway due to unstable bus arrival times, significantly enhancing the punctuality reliability of bus arrivals [15].…”

Section: Bus Speed Guidancementioning

confidence: 99%

Hierarchical Multi-Objective Optimization for Dedicated Bus Punctuality and Supply–Demand Balance Control

Shang

Zhu

et al. 2023

Sensors

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Public transportation is a crucial component of urban transportation systems, and improving passenger sharing rates can help alleviate traffic congestion. To enhance the punctuality and supply–demand balance of dedicated buses, we propose a hierarchical multi-objective optimization model to optimize bus guidance speeds and bus operation schedules. Firstly, we present an intelligent decision-making method for bus driving speed based on the mathematical description of bus operation states and the application of the Lagrange multiplier method, which improves the overall punctuality rate of the bus line. Secondly, we propose an optimization method for bus operation schedules that respond to passenger needs by optimizing departure time intervals and station schedules for supply–demand balance. The experiments were conducted in Future Science City, Beijing, China. The results show that the bus line’s punctuality rate has increased to 90.53%, while the retention rate for platform passengers and the intersection stop rate have decreased by 36.22% and 60.93%, respectively. These findings verify the effectiveness and practicality of the proposed hierarchical multi-objective optimization model.

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Section: Bus Speed Guidancementioning

confidence: 99%

Hierarchical Multi-Objective Optimization for Dedicated Bus Punctuality and Supply–Demand Balance Control

Shang

Zhu

et al. 2023

Sensors

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“…When passengers come periodically at origin and the bus driver controls the speed to retrieve the delay, the dynamics is described by the extended circle map combined with the hyperbolic-tangent map. The nonlinear map is called as the combined map [63,64]. The combined map of the dimensionless arrival time is given by…”

Section: Combined Map Modelmentioning

confidence: 99%

Complex Dynamics of Bus, Tram, and Elevator Delays in Transportation Systems

Nagatani¹

2017

Encyclopedia of Complexity and Systems Science

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Delayed map modelNonlinear map with a time lag. The delayed map model is a dynamic model of bus motion described by the delayed map where the delay of acceleration or deceleration is taken into account. Extended circle map modelThe circle map is a one-dimensional map which maps a circle onto itself.A nonlinear map including sin function. The extended circle map model is a dynamic model of a bus with the periodic inflow at a transfer point Combined map modelThe combined map is a nonlinear map combined with two nonlinear maps. The combined map model is a dynamic model of a single bus in which both effects of speed control and periodic inflow is taken into account. Deterministic chaosThe future behavior of dynamics involved no random elements does not make predictable. The behavior is known as deterministic chaos. The chaos occurs in the nonlinear map models of buses, trams, and elevators. Definition of the SubjectIt is necessary and important to operate buses and trams on time. The bus schedule is closely related to the dynamic motion of buses. In this part, we introduce the nonlinear maps for describing the dynamics of shuttle buses in the transportation system. The complex motion of the buses is explained by the nonlinear-map models. The transportation system of shuttle buses without passing is similar to that of the trams. The transport of elevators is also similar to that of shuttle buses with freely passing. The complex dynamics of a single bus is described in terms of the piecewise map, the delayed map, the extended circle map and the combined map. The dynamics of a few buses is described by the model of freely passing buses, the model of no passing buses, and the model of increase or decrease of buses. The nonlinear-map models are useful to make an accurate estimate of the arrival time in the bus transportation. IntroductionThe traffic science aims to discover the fundamental properties and laws and the traffic engineering aims at making the planning and implementation In the public transportation system, it is important and necessary to make a schedule of public transport, for example bus schedule. It is well known that passengers using buses are served best when buses arrive at stations on time and there is no congestion. Frequently, buses are delayed or go faster in the bus transport system. Thus, it is hard to operate buses on time. Bus schedules are closely related to the dynamic motion of buses. The bus dynamics depends highly on the control method and the system. The arrival time of buses is not determined only by serving passengers but also by the speed control method of buses. The dynamics of trams and elevators is also similar to that of the bus transport system.In the morning and evening peaks, the bus transport system exhibits severe congestion problems. The maximum rate of serving passengers increases with the number of buses. In managing the bus operation, the usual criterion for deciding the number of buses is that one should be able to transport everyone from the starting point to his destin...

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“…Using the framework of a modified circle map, Refs. [102][103][104][105][106][107] attribute the fluctuation of bus headway -and in turn bus bunching -to a deterministic chaos based on the loading rate of the buses. In this chapter, we present an analytical theory which describes the dynamics of bus bunching in a framework analogous to the synchronization of self-oscillators.…”

Section: Chaptermentioning

confidence: 99%

“…Analytical modelling applies an event-based formulation, which typically uses closedform functions to describe macroscopic states of the system, such as the arrival times of buses. [102][103][104][105] used such formulation to present various dynamical states (periodic, quasi-periodic, chaotic etc.) present in bus dynamics.…”

Section: Bus-network Simulation Modelmentioning

confidence: 99%

From cellular automata to agent-based models : addressing urban issues

Quek¹

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Effect of periodic inflow on speed-controlled shuttle bus

Cited by 7 publications

References 48 publications

Hierarchical Multi-Objective Optimization for Dedicated Bus Punctuality and Supply–Demand Balance Control

Hierarchical Multi-Objective Optimization for Dedicated Bus Punctuality and Supply–Demand Balance Control

Complex Dynamics of Bus, Tram, and Elevator Delays in Transportation Systems

From cellular automata to agent-based models : addressing urban issues

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