The development of accurate mathematical relationships between the primary traffic flow parameters has a significant effect on the ability to accurately capture the operational characteristics on the roadway segment under different demand conditions. The focus of this research was on developing the functions relating those traffic flow parameters for multi-lane roadways. After the functions were developed, their output was compared to results provided by the Highway Capacity Manual (HCM) in addition to other models available in the literature and the results of the comparison are presented in this paper. The model output comparison showed that models developed by this research performed well for multi-lane roadways with speed limits of 60km/h and 80km/h compared to other models. However, the models also showed very high traffic density values compared to what is available in the literature. The results from this research could be used mainly for the calibration of the speed-flow model that could be used to enhance the accuracy of traffic simulation models and their different related applications.
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