Solution
The first thing we will check is the capacities of the two critical lanes. We'll
calculate the capacities by multiplying the green ratio (g/C) by the saturation flow rate
(s). For phase one, the green ratio is 14/55 and the saturation flow rate is 1900
pcu/hr. This gives a capacity of 484 pcu/hr, which is more than adequate to handle
the 350 pcu/hr design flow rate. Phase two has a capacity of 933 pcu/hr, which is
also more than adequate to handle its design flow rate.
Next, we will check the minimum length of the green interval based on pedestrian
movements. In phase one, the WALK interval is 10 seconds long and the crossing time is 48
ft/(4 ft/s), or 12 seconds. The total time required for pedestrians is 22
seconds. The vehicular movement provides only 14 seconds of green and 6 seconds of
intergreen. Thus, the total time before the next phase begins is only 20 seconds. To
remedy this, two seconds should be added to both the total cycle time and the green
interval for phase number one. Pedestrians in phase number two receive 16 seconds of
WALK time and require 68 ft/(4 ft/sec) = 17 seconds of crossing time. The total time
required for the pedestrians in phase number two is, therefore, 33 seconds. The green
interval and intergreen interval for phase number two add up to 33 seconds, which
perfectly matches the pedestrian crossing time.
As it turns out, phase one's green interval needed to be increased by two seconds in
order to serve the pedestrian movements. The total cycle length and phase one's green
interval were both increased by two seconds, while all the other signal timing variables
were left untouched.