Intersection Delay Calculator

Measure delay, capacity, and green efficiency instantly. Test cycle length, demand, lanes, and saturation assumptions. Improve staging decisions with clearer traffic performance forecasts today.

Intersection Input Form

The page follows a single-column layout. Inside the calculator, inputs use 3 columns on large screens, 2 on medium, and 1 on mobile.

Formula Used

This calculator uses a planning-level signalized intersection control delay method. It combines adjusted demand, effective green ratio, capacity, uniform delay, incremental delay, and a starting queue adjustment.

1) Adjusted flow rate

v = V / PHF

2) Effective saturation flow

s_eff = s × n × f_adj

3) Green ratio and capacity

g/C = effective green / cycle length c = s_eff × (g/C)

4) Degree of saturation

X = v / c

5) Uniform delay component

d1 = PF × [0.5 × C × (1 - g/C)^2] / [1 - min(1, X) × g/C]

6) Incremental delay component

d2 = 900 × T × [(X - 1) + √((X - 1)^2 + (8 × k × I × X) / (c × T))]

7) Initial queue adjustment

d3 = (1800 × q0) / (c × T)

8) Total control delay

d = d1 + d2 + d3
Meaning of symbols: V = hourly volume, PHF = peak hour factor, s = saturation flow per lane, n = lanes, f_adj = adjustment factor, C = cycle length, PF = progression factor, T = analysis period, q0 = initial queue.

How to Use This Calculator

  1. Enter the approach traffic volume in vehicles per hour.
  2. Set the peak hour factor to reflect peaking severity.
  3. Enter the number of serving lanes for the studied movement.
  4. Type the expected saturation flow per lane.
  5. Enter effective green time and full cycle length.
  6. Set the analysis period, usually 0.25 hour for a 15-minute study.
  7. Add a progression factor and adjustment factor if field conditions differ from ideal.
  8. Enter any starting queue from previous cycles or work-zone effects.
  9. Press the calculate button to view delay, queue, reserve capacity, and LOS.
  10. Use the graph and exports to compare staging options during planning.

Example Data Table

These sample scenarios show how the calculator can be used to compare construction staging or signal timing alternatives.

Scenario Volume (veh/h) PHF Lanes Green (sec) Cycle (sec) Capacity (veh/h) Delay (sec/veh) LOS
Base staging case 850 0.92 2 34.00 90.00 1,363.78 47.25 D
Longer cycle test 850 0.92 2 40.00 110.00 1,312.73 55.65 E
Higher demand peak 1,100 0.90 2 34.00 90.00 1,335.07 82.37 F

FAQs

1. What does intersection delay mean?

Intersection delay is the average extra time drivers experience because of signal control, slowing, stopping, and queuing at an approach or lane group.

2. Is this suitable for construction staging reviews?

Yes. It is useful for planning-level checks during temporary traffic control, lane closures, detours, or phasing reviews. Final designs should still be checked against local standards and full traffic analysis requirements.

3. Why does peak hour factor matter?

Peak hour factor adjusts the average hourly demand to reflect short, sharper peaks. Lower PHF values usually increase adjusted demand and raise delay estimates.

4. What is saturation flow?

Saturation flow is the ideal discharge rate for a lane or lane group during effective green. It depends on lane width, heavy vehicles, grade, turning movement, and local conditions.

5. What does the v/c ratio show?

The volume-to-capacity ratio shows how hard the approach is working. Values near 1.00 indicate tight operation. Values above 1.00 suggest oversaturation and likely queue growth.

6. Why include an initial queue?

Construction zones, incidents, and earlier cycles can leave vehicles already waiting at the start of analysis. Including that queue gives a more realistic starting delay estimate.

7. What does Level of Service represent?

Level of Service is a traffic performance grade based on average control delay. Lower delay gives a better grade. Higher delay pushes the approach toward LOS E or F.

8. Can I use this for unsignalized intersections?

No. This version is built for signalized intersection planning. Unsignalized or roundabout studies need different capacity and delay relationships.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.