Highway Traffic Analysis and Design pp 323-328 | Cite as

# Delay at signal-controlled intersections

Chapter

## Abstract

As has been briefly mentioned in chapter 36, the delay to vehicles on a traffic-signal approach has been investigated by F. V. Webster and reported in where

*Road Research Technical Paper*39. By a combination of queueing theory and digital computer simulation it has been shown that the average delay per vehicle on a particular intersection arm is given by$$d = \frac{{c{{(1 - \lambda )}^2}}}{{2(1 - \lambda x)}} + \frac{{{x^2}}}{{2q(1 - x)}} - 0.65{\left( {\frac{c}{{{q^2}}}} \right)^{1/3}}{x^{(2 + 5\lambda )}}$$

*d =*average delay per vehicle,*c =*cycle time, λ = proportion of the cycle that is effectively green for the phase under consideration (that is, effective green time/cycle time),*q =*flow,*s*= saturation flow,*x*= degree of saturation, which is the ratio of actual flow to the maximum flow that can be passed through the approach (that is*q*/λ*s*).## Preview

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## Copyright information

© R. J. Salter 1989