STABILITY OF MACROSCOPIC TRAFFIC FLOW MODELING THROUGH WAVEFRONT EXPANSION

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dc.contributor.author	Hailu, Lulekal
dc.date.accessioned	2021-02-08T12:54:52Z
dc.date.available	2021-02-08T12:54:52Z
dc.date.issued	2021-02-08
dc.identifier.uri	http://hdl.handle.net/123456789/3082
dc.description.abstract	In this project, second-order macroscopic vehicle traffic flow models are discussed from the perspective of their capability to reproduce stable and unstable traffic flow behaviors observed in real traffic. To achieve this goal, a nonlinear traffic flow stability criterion is derived using a wavefront expansion technique. Qualitative relationships between traffic flow stability and model parameters are derived for an entire class of second-order macroscopic traffic flow models. The stability criterion is illustrated by numerical results using the CLAWPACK package for the well-known Payne–Whitham (PW) model. The newly derived stability results are consistent with previously reported results obtained using both microscopic models and approximate linearization methods. Moreover, the stability criteria derived in this project can provide more refined information regarding the propagation of traffic flow perturbations and shock waves in second order models	en_US
dc.description.sponsorship	uog	en_US
dc.language.iso	en_US	en_US
dc.publisher	UoG	en_US
dc.subject	Traffic congestion has a significant impact on economic activity throughout much of the world. An essential step towards active congestion control is the creation of accurate, reliable traffic monitoring and control systems. These systems usually run algorithms which rely on mathematical models of traffic used to power estimation and control schemes. There are many important approaches to the modeling of traffic phenomena: microscopic models, mesoscopic models and macroscopic models. Macroscopic models describe traffic phenomena through parameters which characterize collective traffic properties. Different mathematical approaches correspond to the three different observations and modeling scales. The first continuum model of traffic flow is the LWR theory developed independently by Lighthill and Whitham [1] and Richards [2] . The LWR theory assumes that there exists an equilibrium speed-concentration relationshi 𝑣 = 𝑣𝑒(𝜌) The LWR model is a scalar nonlinear conservation law The LWR model can describe the formation of shock waves but fails in describing more complicated traffic flow patterns Higher order models were developed by Payne [3] and Whitham [4 ] proposed the second order PW model .	en_US
dc.title	STABILITY OF MACROSCOPIC TRAFFIC FLOW MODELING THROUGH WAVEFRONT EXPANSION	en_US
dc.type	Thesis	en_US