2017
DOI: 10.1016/j.physa.2016.11.017
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Effect of periodic inflow on speed-controlled shuttle bus

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Cited by 7 publications
(4 citation statements)
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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%
“…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%
“…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%
“…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%