UPSI Digital Repository (UDRep)
|Abstract : Universiti Pendidikan Sultan Idris|
|The purpose of this study was to evaluate the mathematical model for traffic flowing
through a merging area on the Malaysia Federal Highway operation which ramp areas at Kilometer
31.6 from Shah Alam to Kuala Lumpur, Kilometer 32.9 from Kuala Lumpur to Shah Alam
and Kilometer 33 from Kuala Lumpur to Shah Alam. The continuous flow model was used in
this study that assumes traffic flow to be similar to the heat equation in regards to the concept
of the one-dimensional viscous flow of compressible fluid. The research design used in this study
was comparative method. The continuous flow model set an initial condition, together with a set of
boundary conditions, was prescribed to solve the partial differential equation. The
boundary conditions were selected to assess the suitableness of the design of the entrance ramp in
Malaysia. A sample of highway traffic data was collected on the tapered
acceleration lane and obtained by the videotaping method. The highway traffic data were provided
by the Faculty of Civil Engineering, Universiti Teknologi Mara (UiTM). The Maple
programming was used to write an algorithm program to evaluate the solution in terms of Fourier
series with a finite number of iterations. The findings of this study disclosed the instantaneous
speed ratios at lower values of easiness to flow were converging slower compared to the higher
values of instantaneous speed ratio. The instantaneous speed ratio values were found to be more
accurate when the additional iteration numbers were considered and the traffic’s
instantaneous speed ratio for three selected sites on the Malaysia Federal Highway was less than
1.39 at location 0.4 which was less than 1.4 as proposed by theoretical model. In conclusion, the
mathematical model was found to be accurate in estimating the safe distance and speed of vehicles
on merging area so that the collision can be minimized and for the assessment and decision-making
of the configuration of the traffic flow. As the implication, this study on the
mathematical model and theories of traffic flow provides the possibilities of the improvement
for the design of the entrance ramp in
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