Monday, November 2, 2020

Design of traffic signal problem

 Design a traffic signal for the following right angled intersection

  • Major street = 12 m (4 lanes)
  • Minor street = 6 m (2 lanes)
  • The peak hour volumes in each direction are indicated accordingly


Solution:  Assuming that the average pedestrian speed = 1.2 m/s

                Pedestrian clear time along the major road = 12 / 1.2 = 10 seconds

                Peak green time = 10 + 7 = 17 seconds

                Pedestrian reaction time = 17 seconds

                Therefore, minimum green time for vehicle on minor street = 17 seconds

                Pedestrian clearance time for minor street = 6 / 1.2 = 5 seconds

                Pedestrian green time for vehicle on major street approach = 12 seconds

                Critical lane volume on major street = 660 / 2 = 330 vehicles/hour/lane

                Critical lane volume on minor street = 180 / 1 = 180 vehicles/hour/lane

                Green time on major street approach = (330/180)*17 = 31.16 seconds

                                                                                                        ~ 32 seconds

                Adding initial amber and clearance amber of 2 seconds each

                Minimum cycle length = (2 + 17 + 2) + (2 + 32 + 2) = 57 seconds           Adopting the next multiple of 5 we have the maximum cycle length as 60 seconds

Add 3 seconds (2 seconds for major street approach and 1 second for minor street approach = ratio of volume of traffic on major street to volume of traffic on minor street)

The results for the signal timing (in seconds) are tabulated below:

Signal                    Initial        Green        Clearance            Red                Cycle

timing                    Amber                        Amber                                         length    

Major street                2             34                2                        22                60        

Minor street                2             18                2                        38                60

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