Towards railway traffic management using switching max-plus-linear systems, structure analysis and rescheduling

DOI10.1007/s10626-014-0205-7zbMath1353.93013OpenAlexW55684949WikidataQ107155303 ScholiaQ107155303MaRDI QIDQ503024

János Rudan, Bart De Schutter, Bart Kersbergen, Ton J. J. van den Boom

Publication date: 11 January 2017

Published in: Discrete Event Dynamic Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10626-014-0205-7

zbMATH Keywords

model reductionmax-plus algebraMILPreschedulingrailway networks

Mathematics Subject Classification ID

Related Items (8)

Local and global robustness with \(q\)-step delay for max-plus linear systems ⋮ Relatively maximal perturbation bounds for global robustness of max‐plus linear systems ⋮ Feedback control laws to ensure generalized mutual exclusion constraints in a network of partially observable timed event graphs ⋮ Control laws synthesis to satisfy generalized mutual exclusion constraints for timed event graphs networks using min-plus algebra ⋮ Global optimization for max-plus linear systems and applications in distributed systems ⋮ Model predictive scheduling of semi-cyclic discrete-event systems using switching max-plus linear models and dynamic graphs ⋮ Matrix representation of formal polynomials over max-plus algebra ⋮ Modelling and feedback control for a class of Petri Nets with shared resources subject to strict time constraints using Max-plus algebra

Uses Software

• Gurobi
• GLPK

Cites Work

• Minimax algebra
• A model predictive control approach for discrete-time rescheduling in complex central railway station areas
• Dispatching and coordination in multi-area railway traffic management
• A branch and bound algorithm for scheduling trains in a railway network
• The QR Decomposition and the Singular Value Decomposition in the Symmetrized Max-Plus Algebra
• Towards a (max,+) control theory for public transportation networks
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