Traffic dynamics of automated transit systems with pre-established schedules

Araya, Shinji; Sone, Satoru

doi:10.1109/tsmc.1984.6313344

Cited by 22 publications

(14 citation statements)

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“…Such kind of control action could be performed by manipulating stop times or in-between station running times. In other words, both actions are functionally equal [5]. If the running time is manipulated, it is defined by,…”

Section: Traffic Dynamical Modelmentioning

confidence: 99%

“…The dynamics of metro line systems have been deeply studied by several researchers [1][2][3][4][5][7][8][9][10]. Most of these dynamical models are based on the Sasama and Ohkawa [9] linear model.…”

Section: Introductionmentioning

confidence: 99%

“…As a result, some dynamic traffic linear controllers [1][2][3]7] and real time simulators [3,4] have been proposed. Some researchers [4,5] state the importance of nonlinear behaviour of metro lines. Therefore, a suitable nonlinear stability analysis must be done in order to design appropriate dynamic traffic controllers.…”

Section: Introductionmentioning

confidence: 99%

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Lyapunov based stability analysis for metro lines

Berbey

Galán

Segundo

et al. 2008

WIT Transactions on the Built Environment

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In this work a direct method to measure the stability of metro system lines with respect to a previously constructed time schedule is presented. For this purpose we first model saturation effects using a real time discrete space state representation and then apply a Lyapunov-based stability analysis considering time delays of trains as disturbances. As a result we have been able to define a new set of indexes that relate time delays with the validity of the actual time schedule when falling inside a particular 'stability area'. Results obtained in a simulated environment show that the new stability indexes are able to evaluate quantitatively and qualitatively the effects of saturation in metro lines as well as predict the need for rescheduling

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Section: Traffic Dynamical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Lyapunov based stability analysis for metro lines

Berbey

Galán

Segundo

et al. 2008

WIT Transactions on the Built Environment

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“…Time deviation from nominal arrival of train i at platform k is defined as (6). Time deviation from nominal headway of train i leaving platform k is defined as (7).…”

Section: Optimisation Modelmentioning

confidence: 99%

“…In [1] a heuristic predictive controller computes the complete trajectory of each train until delays are recovered. A heuristic feedback controller is proposed in [7], where the control law depends on the last measured delay of the train to be controlled, the delays of the train ahead and the following train. This paper is focused on a predictive control approach that optimises a system performance cost function.…”

Section: Introductionmentioning

confidence: 99%

An optimisation-based traffic regulator for metro lines

Cucala¹,

Fernández²,

Cuadra³

et al. 2007

WIT Transactions on the Built Environment, Vol 96

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This paper presents a new traffic regulation model for metro lines based on the optimisation of a cost function along a time horizon. The resulting control actions modify nominal running times and dwell times to compensate timetable and headway deviations. The proposed quadratic programming model is suitable to include the main operation constraints efficiently: minimum interval, limits in the control actions and the typical operation criterion of preventing the actuation of signalling systems between platforms. Quadratic programming models are computationally efficient, and this allows the execution of the control loop every few seconds, and the management of long time horizons. In consequence, regulation performance and stability is improved, and the tuning of regulation parameters according to the operation requirements is simplified. The paper describes the simulation results of the proposed regulation model applied to a realistic metro line. A traffic perturbation model has been considered in order to analyse the stability of the line with different configuration parameters of the controller.

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A combined approach of microscopic and macroscopic simulation for rail traffic

Asuka

Komaya

1997

Elect. Eng. Jpn.

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This paper presents a combined approach of rail traffic simulation using suitable models, both microscopic and macroscopic. In rail traffic, train motions do not depend directly on preceding train motions, as in road traffic, but only on the speed limit in the current block section. Using the history of the speed limit in each block section, simulation of the movement of individual trains between stations can be performed independently. Based on this fact, we have formed a new microscopic model and proposed a combined approach, applying the macroscopic model to normal train runs and the microscopic model to others. Our combined approach makes it possible to obtain quick responses by macroscopic simulation and detailed results by microscopic simulation. © 1997 Scripta Technica, Inc Electr Eng Jpn, 119(3): 61–68, 1997

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Traffic dynamics of automated transit systems with pre-established schedules

Cited by 22 publications

References 0 publications

Lyapunov based stability analysis for metro lines

Lyapunov based stability analysis for metro lines

An optimisation-based traffic regulator for metro lines

A combined approach of microscopic and macroscopic simulation for rail traffic

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