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# PDF (DX094490.pdf) - White Rose Etheses Online

PDF (DX094490.pdf) - White Rose Etheses Online

## 100 increases. At high

101 0: the proportion of restrained vehicles the mean headway of the free-flowing vehicles (sec) t 2 . the mean headway of the restrained vehicles (sec) t: the minimum headway of the restrained vehicles (sec) Cowan (1975) has proposed that the minimum headway should be considered as a random variable within the bunches of restrained vehicles. 4.8.2.5 The Pearson Type III Distribution The generalised equation for the Pearson Type III (or Gamma) distribution is where ____ k -qkt f(t) = r (k) (qk) e (eq. 4.23) k: a constant q: the traffic flow (veh/sec) 1 k-i -z F(k) = I z e dz : the gamma function - z=0 When k is a positive integer (k) = (k-i)! and k-i ______ k -qkt f(t) (qk) e (eq. 4.24) (k-i) ! which is the Erlang distribution. The major advantage of the Erlang distribution is that it can describe headway distributions ranging from complete random flow (k=].) to completely regular flow (kco). Fig. 4.15 shows four of the Erlang family of curves. 4.8.3 Analysis of Collected Data The circulating flow data collected at Castle Square

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