University of Twente Student Theses
Modelling vehicular flow on single-lane roundabouts using a discrete time Markov chain
Leeftink, G. (2023) Modelling vehicular flow on single-lane roundabouts using a discrete time Markov chain.
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| Abstract: | The behavior of traffic on roundabouts is a complex phenomenon and it has been heavily researched in the past decades. In that tendency, a discrete time approach will be used to gain insights on the departure process of a roundabout given Bernoulli arrivals at the entrances. We formulate a Discrete Time Markov Chain (DTMC) to form an analytical framework containing the interarrival times on the roundabout and at the exit of the roundabout. Simulations testthis analytical framework and subsequently the introduction of numerically acquired heuristics complement the analytical framework of these departure processes. Two case studies concerning chains of roundabouts with Bernoulli arrivals show that the departure process at the exit of a chain approximates the departure process at the exit of a single roundabout; additionally one case study demonstrates that the design of a roundabout plays a role in the probability distribution of the interarrival times. A simulation study regarding the classical four-way roundabout show that the theoretical framework along with the numerical heuristics establish a sufficient approximation of the departure process at the exit of the roundabout, but more theory on this subject regarding a discrete time approach is yet to be established. |
| Item Type: | Essay (Master) |
| Faculty: | EEMCS: Electrical Engineering, Mathematics and Computer Science |
| Subject: | 31 mathematics |
| Programme: | Applied Mathematics MSc (60348) |
| Link to this item: | https://purl.utwente.nl/essays/97230 |
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