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

Frank Recker ()
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Frank Recker: University of Hagen

A chapter in Operations Research Proceedings 2005, 2006, pp 787-792 from Springer

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.

Keywords: Renewal process; V-ergodic Markov chain; Poisson process; Stopping time; Queuing theory; Traffic problems (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:oprchp:978-3-540-32539-0_123

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DOI: 10.1007/3-540-32539-5_123

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