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Modeling, Control and Optimization of Complex Systems pp 237–260Cite as

Discrete Events: Timetables, Capacity Questions, and Planning Issues for Railway Systems

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Part of the book series: The International Series on Discrete Event Dynamic Systems ((DEDS,volume 14))

Abstract

The theory of Discrete Event Systems (DES’s) is a research area of current vitality. The development of this theory is largely stimulated by discovering general principles which are (or are hoped to be) useful to a wide range of application domains. In particular, technological and/or `man-made’ manufacturing systems, communication networks, transportation systems, and logistic systems, all fall within the class of DES’s. One of the key features that characterize these systems is that. their dynamics areevent-drivenas opposed totime-driven, i.e., the behavior of a DES is governed only by occurrences of different types of events over time rather than by ticks of a clock.

Presented at the Symposium in honour of Larry Ho, Harvard University, June 23, 24,2001

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References

  1. F. Baccelli, G. Cohen, G.J. Olsder, and J.P. Quadrat.Synchronization and Linearity.Wiley,1992.

    Google Scholar 

  2. C.Baley (general editor). European Railway Signalling. Institution of Railway Signalling Engineers, A&C Black, London1995.

    Google Scholar 

  3. J.G. Braker.Algorithms and applications in timed discrete event systems.PhD thesis, Delft university of Technology,1993.

    Google Scholar 

  4. J.G. Braker and G.J. Olsder. The power algorithm in max-algebra.Linear Algebra and its Applications 182:67–89 1993.

    Article  MathSciNet  MATH  Google Scholar 

  5. C.G. Cassandras.Discrete Event Systems Modelling and Performance Analysis. Irwin, Boston,1993.

    Google Scholar 

  6. C.G. Cassandras and S. Lafortune and G.J. Olsder. Introduction to the Modelling, Control and Optimization of Discrete Event Systems. pp.217–291in:Alberto Isidori (ed.),Trends in Control,a European PerspectiveSpringer Verlag,1995.

    Google Scholar 

  7. G. Cohen, D. Dubois, J.P. Quadrat, and M. Viot. A linear system-theoretic view of discrete event processes and its use for performance evaluation in manufacturing.IEEE Transactions on Automatic ControlAC-30:210–220 1985.

    Article  MathSciNet  MATH  Google Scholar 

  8. ECSAG/UNISIG.ERTMS/ETCS Functional Requirements Specification RFS.Version4.29, final, Brussels,1999.

    Google Scholar 

  9. R.-J. van Egmond and G.J. Olsder. The (max,+) algebra applied to synchronization of traffic light processesProceedings WODES, Cagliari August 1998 pp. 451–456.

    Google Scholar 

  10. R. Goverde and G. Soto Y Koelemeijer.Performance Evaluation of Periodic Railway Timetables: Theory and Algorithms.The Netherlands Trail Research School, Delft University of Technology,2000.

    Google Scholar 

  11. J. Gunawardena.Idempotency.Cambridge University Press,1998.

    Google Scholar 

  12. Y.C.Ho and X. Cao.Perturbation Analysis of Discrte Event Dynamic Systems.Kluwer, Boston, 1991.

    Book  Google Scholar 

  13. Y.C. Hoand C.G. Cassandras. A new approach to the analysis of discrete event dynamic systems.Automatica 19:149–167 1983.

    Article  MathSciNet  MATH  Google Scholar 

  14. A.F. de Kort.A unified approach to capacity assessment for railway infrastructure.Ph.D. thesis, Delft University of Technology, forthcoming, 2002.

    Google Scholar 

  15. G.J. Olsder. Eigenvalues of dynamic min-max systems.Journal of Discrete Event Dynamic Systems1:177–207, 1991.

    Article  MATH  Google Scholar 

  16. G.J. Olsder. Synchronized continuous flow systems. In S. Balemi, P. Kozàk, and R. Smedinga, editorsDiscrete Event Systems; Modelling and Controlpages 113–124. Birkhäuser, Basel, 1993.

    Chapter  Google Scholar 

  17. P.J. Ramadge and W.M. Wonham. Supervisory control of a class of discrete event processes.SIAM J. Control and Optimization25:206–230, 1987.

    Article  MathSciNet  MATH  Google Scholar 

  18. Subiono.On classes of min-max-plus systems and their applications.Ph.D. thesis, Delft University of Technology, 2000.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Faculty of Information Technology and Systems, Delft University of Technology, P.O.Box 5031, 2600 GA, Delft, the Netherlands

    Antoine F. de Kort

Authors
  1. Geert Jan Olsder
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  2. Antoine F. de Kort
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Editor information

Editors and Affiliations

  1. University of Massachusetts, Amherst

    Weibo Gong

  2. University of Wisconsin, Madison

    Leyuan Shi

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© 2003 Springer Science+Business Media New York

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Olsder, G.J., de Kort, A.F. (2003). Discrete Events: Timetables, Capacity Questions, and Planning Issues for Railway Systems. In: Gong, W., Shi, L. (eds) Modeling, Control and Optimization of Complex Systems. The International Series on Discrete Event Dynamic Systems, vol 14. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1139-7_10

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  • DOI: https://doi.org/10.1007/978-1-4615-1139-7_10

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-5411-6

  • Online ISBN: 978-1-4615-1139-7

  • eBook Packages: Springer Book Archive

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