Gap analysis was performed using a Poisson Distribution methodology to determine if an acceptable number of gaps are available to cross Far Hills Avenue at the AM, midday, and PM peak hours. Acceptable numbers of gaps to accommodate pedestrians are assumed to be one per minute (60 gaps per hour). The available number of gaps is dependent on total bidirectional volume on Far Hills Avenue, crossing distance from curb ramp to curb ramp (measured at 84 ft), and walking speed (3.5 ft/s was assumed). The available gaps during peak hours were calculated using the following equation:

No. of Gaps = λ × e−(λt)
Where:
  • λ = Total bidirectional volume at Aberdeen Ave − Park Ave
  • t = Crossing Time =
    84 ft 3.5 ft/s
    = 24 seconds

The resulting number of gaps for each peak hour volume are shown in Figure 11C.

The gap analysis shows that the number of gaps to cross Far Hills Avenue at the intersection during peak hours are less than 1 gap per hour. The acceptable number of gaps is 60 per hour (i.e., one opportunity to cross every minute). There are little to no opportunities to completely cross Far Hills Avenue. The existing traffic signal contributes significantly to providing adequate crossing time by stopping Far Hills Avenue traffic through the use of available push buttons. Warrant #5 is satisfied.

FIGURE 11C: GAP ANALYSIS (84 FT CROSSING DISTANCE)
Figure 11C: Gap Analysis graph showing calculated number of gaps vs peak hour volume

The existing traffic signal at the Far Hills Avenue and Aberdeen Avenue/Park Road intersection is warranted as it meets signal warrant #5 (Gap Analysis). Gap analysis shows this traffic signal provides adequate gaps for pedestrians to cross Far Hills Avenue, especially during peak school pedestrian hours.