Spectral analysis for performance evaluation in a bus network
This paper deals with the performance evaluation of a public transportation system in terms of waiting times at various connection points. The behaviour of a bus network is studied in the framework of Discrete Event Systems (DES). Two possible operating modes of buses can be observed at each connection stop: periodic and non-periodic mode. Two complementary tools, Petri nets and (max, +) algebra, are used to describe the network by a non-stationary linear state model. This one can be solved after solving the structural conflicts associated to the graphical representation. From the characteristic matrix of the mathematical model, we determine eigenvalues and eigenvectors that we use to evaluate the connection times of passengers. This work is finally illustrated with a numerical example.
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- J. Schulze & T. Fahle, 1999. "A parallel algorithm for the vehicle routing problem with time window constraints," Annals of Operations Research, Springer, vol. 86(0), pages 585-607, January.
- Bocker, Jorg & Lind, Jurgen & Zirkler, Bernd, 2001. "Using a multi-agent approach to optimise the train coupling and sharing system," European Journal of Operational Research, Elsevier, vol. 131(2), pages 242-252, June.
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