Structured modeling, analysis, and control of complex railway operations

In this paper we discuss the rescheduling of trains on a large-scale railway network in the case of perturbations using a max-plus-linear system description. We study the structure of the system matrices and derive how this structure can be manipulated by the control variables. In addition, we show...

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Bibliographic Details
Main Authors: van den Boom, T. J. J., Kersbergen, B., De Schutter, B.
Format: Conference Proceeding
Language:English
Subjects:
Delay
Equations
Mathematical model
Rail transportation
Schedules
Switches
Vectors
Online Access:Request full text
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Summary:In this paper we discuss the rescheduling of trains on a large-scale railway network in the case of perturbations using a max-plus-linear system description. We study the structure of the system matrices and derive how this structure can be manipulated by the control variables. In addition, we show that this leads to a system matrix that is affine in the control variables and the timing parameters. We also consider additional constraints for scheduling trains on multiple tracks and constraints for joining and splitting trains.
ISSN:0191-2216
DOI:10.1109/CDC.2012.6426646