SIMULATION OF TRAFFIC CONGESTION AT UNSIGNALISED INTERSECTIONS USING A MICROSCOPIC TRAFFIC FLOW MODEL

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dc.contributor.author MAITHYA, DENNIS MAMBO
dc.date.accessioned 2018-02-05T09:35:59Z
dc.date.available 2018-02-05T09:35:59Z
dc.date.issued 2018-02-05
dc.identifier.uri http://hdl.handle.net/123456789/3884
dc.description Master of Science in Mathematics (Computational Option) en_US
dc.description.abstract Traffic flow in most urban areas is augmenting due to growth in transport and con- tinual demand for it, most particularly at unsignalised intersections. To address this, we developed and analyzed a Microscopic Tra c Flow Model for describing tra c ow at those unsignalised intersections that incorporated lane-changing maneuvers and performed a simulation of the tra c formation. A Microscopic Tra c ow model describes the motion of each vehicle by modeling the action of the vehicles such as the acceleration and deceleration of each driver. A qual- itative study was done. We proved that intersections can cause tra c jams if not well managed. To achieve this, the general motors car following model was used so that the motion of each vehicle was discretely monitored and this dis- cretization was done using the Forward Finite Di erence Method. The existence and uniqueness of the results was done by invoking the lipschitz conditions. The results obtained for example the back-chaining of the leading vehicles behaviour was replicated in the tra c scenario considered and agreed with what happen in real world. en_US
dc.description.sponsorship Dr. Mark Kimathi Faculty of Applied Sciences and Technology, The Technical University of Kenya, NAIROBI. Prof. Diaraf Seck Department of Mathematics of Decision, Laboratory of Mathematics Decisions and Numerical Analysis, University of Chiek Anta Diop of Dakar, Dakar-Fann, Senegal. en_US
dc.language.iso en en_US
dc.publisher JKUAT-PAUSTI en_US
dc.subject SIMULATION en_US
dc.subject TRAFFIC CONGESTION en_US
dc.subject UNSIGNALISED INTERSECTIONS en_US
dc.subject MICROSCOPIC TRAFFIC FLOW MODEL en_US
dc.title SIMULATION OF TRAFFIC CONGESTION AT UNSIGNALISED INTERSECTIONS USING A MICROSCOPIC TRAFFIC FLOW MODEL en_US
dc.type Thesis en_US


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