Efficiency Studies of Fast Charging and Smooth Highway
Abstract
Imagine that you are about to end a long journey and take a hot bath at home while there are dozens or even hundreds of cars in front of you, you may lose hope all at once. Our goal is to establish a model of the shape, size and merging pattern of the highway toll plaza. We use the confluence model, queuing theory and other mathematical knowledge to analyze the performance of the different shapes of the toll plaza and the proportion of the tollbooths. Then we are expected to propose a practical strategy for New Jersey Turnpike Authority. We build two models: linear toll plaza (LM model) and fan-shaped (arc) toll plaza (AM model). By using the knowledge of fluid mechanics and queuing theory, we divide the whole process into three stages -- the stage of entry, waiting and departure. On the basis of reasonable assumptions and simplifications, we calculate the time of each model and then judge the operating efficiency of the toll station by time.
Keywords
Fluid mechanics, queuing theory.
DOI
10.12783/dtssehs/adess2017/17925
10.12783/dtssehs/adess2017/17925