Stochastic Traffic Models for the Adaptive Train Dispatching

Chebotarev, V. I.; Davydov, B. I.; Godyaev, A.I.

doi:10.1007/978-3-319-33816-3_32

Cited by 5 publications

(4 citation statements)

References 5 publications

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“…In our previous work [1], we have investigated the headway deformation process caused by the delay of random duration. We considered the following two situations: when trains depart from the initial station on time (a) and when the departure times are shifted by random influences (b).…”

Section: Probabilistic Distribution Of the Arrival Headwaysmentioning

confidence: 99%

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Random Delays Forming in the Dense Train Flow

Davydov

Chebotarev

Kablukova

2018

WIT Transactions on the Built Environment

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Random impacts and interaction of trains in a dense flow cause small deviations of arrival times. A model for the forming of train delays is proposed. Formulas for the delay distributions depending on distribution functions of random stops and initial departure times are obtained. Influence of the driver's efforts on distribution resulting is also considered. We also analyze the properties of arrival intervals and deviation scatterings obtained from initial distributions with real-world parameters. Statistical data collected on a suburban railway are used to compare the model distributions with the real scatterings of train delays. Obtained results confirm a good fit with the proposed delays model.

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Section: Probabilistic Distribution Of the Arrival Headwaysmentioning

confidence: 99%

“…Each of these events leads to additional scattering of the corresponding operating time. Process of multistage formation the output probability distribution is described by the stochastic model in [1] which we will call the generalized stochastic model. This model is graphically interpreted in Fig.…”

Section: Introductionmentioning

confidence: 99%

Random Delays Forming in the Dense Train Flow

Davydov

Chebotarev

Kablukova

2018

WIT Transactions on the Built Environment

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“…The approach considered is the basis for a generic stochastic model of train traffic on the railway section [13]. The process of accumulating the delays is represented as a tree of interferences, which is the graph whose nodes reflect the presence of conflicts between trains at the control points.…”

Section: Mesoscopic Stochastic Modelling Of Train Trafficmentioning

confidence: 99%

“…This problem is explored in ref. [13] and requires further study especially for the mixed flow of passenger and freight trains.…”

mentioning

confidence: 99%

Stochastic model for the real-time train rescheduling

Davydov¹,

Chebotarev²,

Kablukova³

2017

Int. J. TDI

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The article explores the problem of train rescheduling based on the actual situation. The proposed stochastic model uses specific distributions of operating times which are dependent on the current traffic conditions. The arrival time distribution is considered as a result of adjusting the train trajectory by speed control. The results of modelled arrival distributions correspond well with the experimental data received at the russian railways. The proposed model is used for prevention of sequence-of-trains conflicts and violations of connections. The basis of deviation prediction is two-train model of mesalevel which uses actual features of scattering of the operation times both at sites and at stations. The article also proposed a new measure of arrival delay which considers the share of satisfied passengers.

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