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Stochastic Analysis of the Traffic Confluence at the Crossing of a Major and a Minor Road

In: Operations Research Proceedings 2005

Author

Listed:
  • Frank Recker

    (University of Hagen)

Abstract

Summary We present a stochastic model for the traffic situation at a crossing of a major and a minor road. Afterwards, we give an overview of two recent results for this model. First, the distribution of the waiting time for a large gap is given. This might also have applications in other settings, where one has to wait for a large gap to occur in a Poisson process. The second result shows, that the queue length on the minor road is either a V-ergodic Markov chain or it is transient. This justifies the estimation of the stationary distribution by the time mean of the queue length in a computer simulation.

Suggested Citation

  • Frank Recker, 2006. "Stochastic Analysis of the Traffic Confluence at the Crossing of a Major and a Minor Road," Operations Research Proceedings, in: Hans-Dietrich Haasis & Herbert Kopfer & Jörn Schönberger (ed.), Operations Research Proceedings 2005, pages 787-792, Springer.
    • Handle: RePEc:spr:oprchp:978-3-540-32539-0_123
    DOI: 10.1007/3-540-32539-5_123
    as

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