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Network Design Formulations in Schedule Synchronization

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Computer-Aided Transit Scheduling

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 386))

Abstract

This paper deals with problems in schedule synchronization for public transit networks. First we reformulate the problem of minimizing waiting times of passengers changing communication routes at certain transfer stations in a network. In this problem all transit lines only meet at certain points or transfer stations. A second problem, in addition, considers the case where different lines partly use the same tracks implicating that security distances have to be observed.

For both problems identical solution methods are described and tested on real world as well as on randomly generated data.

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References

  • Brucker, P. and J. Hurink (1986). A railway scheduling problem. Zeitschrift für Operations Research 30, A223 — A227.

    Article  Google Scholar 

  • Chhajed, D. and T.J. Lowe (1990). M-median and M-center problems with mutual communication: solvable special cases. Working paper, University of Illinois Urbana — Champaign.

    Google Scholar 

  • Dammeyer, F., P. Forst and S. Voß (1990). On the cancellation sequence method of tabu search. Working paper, FG Operations Research, TH Darmstadt.

    Google Scholar 

  • Desilets, A. and J.-M. Rousseau (1990). SYNCRO: A computer — assisted tool for synchronization of transfers in public transit networks. Paper presented at the 5th Workshop on Computer-Aided Scheduling of Public Transport, Montreal.

    Google Scholar 

  • Domschke, W. (1989). Schedule synchronization for public transit networks. OR Spektrum 11, 17–24.

    Article  Google Scholar 

  • Glover, F. (1989). Tabu search — part I. ORSA Journal on Computing 1, 190 – 206.

    Article  Google Scholar 

  • Glover, F. (1990). Tabu search — part II. ORSA Journal on Computing 2, 4 – 32.

    Article  Google Scholar 

  • Gupta, A.K. and P. Vrat (1981). Simulation model for optimal frequency of buses on a route — a case study. In: Scientific Management of Transport Systems (N.K. Jaiswal, ed.), pp. 225 – 234. North-Holland, Amsterdam.

    Google Scholar 

  • Hall, R.W. (1987). Passenger delay in a rapid transit station. Transportation Science 21, 279 – 292.

    Article  Google Scholar 

  • Holz, S. and R. Hüttmann (1987). Optimierung von Anschlußzeiten. Der Nahverkehr Heft 4.

    Google Scholar 

  • Keudel, W. (1988). Computer — aided line network design (DIANA) and minimization of transfer times in networks (FABIAN). In: Computer-Aided Transit Scheduling (J.R. Daduna and A. Wren, eds.), Lecture Notes in Economics and Mathematical Systems 308, pp. 315–326. Springer, Berlin.

    Google Scholar 

  • Klemt, W.D. and W. Stemme (1988). Schedule synchronization for public transit networks. In: Computer-Aided Transit Scheduling (J.R. Daduna and A. Wren, eds.), Lecture Notes in Economics and Mathematical Systems 308, pp. 327 – 335. Springer, Berlin.

    Google Scholar 

  • Koutsopoulos, H.N., A.R. Odoni and N.H.M. Wilson (1985). Determination of headways as a function of time varying characteristics on a transit network. In: Computer Scheduling of Public Transport 2 (J.- M. Rousseau, ed.), pp. 391 – 413, North-Holland, Amsterdam.

    Google Scholar 

  • Kuah, G.K. ana J. Perl (1989). Tne feeder-bus network — design problem. Journal of the Operational Research Society 40, 751 – 767.

    Google Scholar 

  • Kwan, R.S.K. (1988). Co — ordination of joint headways. In: Computer-Aided Transit Scheduling (J.R. Daduna and A. Wren, eds.), Lecture Notes in Economics and Mathematical Systems 308, pp. 304–314. Springer, Berlin.

    Google Scholar 

  • Leblanc, L.J. (1988). Transit system network design. Transportation Research 22, B383 — B390.

    Article  Google Scholar 

  • Noltemeier, H. (1976). Graphentheorie. De Gruyter, Berlin, New York.

    Google Scholar 

  • Norman, J. (1986). The provision of real — time departure information for passengers of a rail-bus interchange. Traffic Engineering and Control 27, 447–451.

    Google Scholar 

  • Rardin, K.L., R.G. Parker and M.B. Richey (1982). A polynomial algorithm for a class of Steiner tree problems on graphs. Rep. Series J — 82 – 5, Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta GA.

    Google Scholar 

  • Simeone, B. (1986). An asymptotically exact polynomial algorithm for equipartition problems. Discrete Applied Mathematics 14, 283 – 293.

    Article  Google Scholar 

  • Skorin-Kapov, J. (1990). Tabu search applied to the quadratic assignment problem. ORSA Journal on Computing 2, 33 – 45.

    Article  Google Scholar 

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© 1992 Springer-Verlag Berlin Heidelberg

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Voß, S. (1992). Network Design Formulations in Schedule Synchronization. In: Desrochers, M., Rousseau, JM. (eds) Computer-Aided Transit Scheduling. Lecture Notes in Economics and Mathematical Systems, vol 386. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85968-7_10

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  • DOI: https://doi.org/10.1007/978-3-642-85968-7_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55634-3

  • Online ISBN: 978-3-642-85968-7

  • eBook Packages: Springer Book Archive

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