TY - JOUR PY - 2014// TI - Modeling trailer-traffic flow on a Kenyan highway JO - International mathematical forum A1 - Wanjiru, Ndichu Catherine A1 - Otumba, Edgar Ouko SP - 1131 EP - 1137 VL - 9 IS - 23 N2 - Traffic flow modelling is studied in order to ease congestion on roads. However, congestion is also caused by irregular occurrences, such as traffic accidents, poor roads, vehicle disablement, spilled loads and hazardous materials. This study explored the area of poor roads which was considered to be as a result poor planning for road network repairs. Traffic flow was categorized to be either in low, intermediate, or high volume. Modelling for every flow required a different distribution namely the Exponential, Pearson type III and Normal distributions for low, intermediate and high traffic flow volume respectively. However, we modelled the trailers traffic flow using a model that covered all the 3 states, in this case,the Pearson type III distribution. Further,we investigated the shape of the probability distribution function assumed by the trailers. After data collection,extraction and analysis, Pearson type III distribution model was calibrated to fit. Lastly, Kolmogorov-Smirnov and Chi-square tests of goodness of fit was run on the observed data. Although, the data was also fitted into Normal, Erlang, Exponential, Beta and Gamma Distributions, Pearson type III distribution provided the best fit. Mathematics Subject Classification: 49K05 Keywords: Traffic flow, Modelling, Congestion, Road network, Trailers, Probability distribution
Language: en
LA - en SN - 1312-7594 UR - http://dx.doi.org/10.12988/imf.2014.4597 ID - ref1 ER -