Traffic illustrative Webster green split calculator

Calculate illustrative Webster cycle and effective green allocations JSON with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use illustrative Webster cycle and effective green allocations JSON to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Critical flow ratios by phase
0.2,0.25,0.15
Total lost time per cycle (seconds)
12
Illustrative Webster cycle (seconds)
57.5
Effective green allocations (seconds) JSON
[15.1666666667,18.9583333333,11.375]

Try another scenario

Critical flow ratios by phase
[0.22000000000000003, 0.25, 0.15]
Total lost time per cycle (seconds)
12
Illustrative Webster cycle (seconds)
60.526316
Effective green allocations (seconds) JSON
[17.2190152801,19.5670628183,11.740237691]
Calculation method

Calculation method

Illustrative Webster cycle (seconds)

Webster illustrative C=(1.5L+5)/(1−Σcritical ratios); split effective green C−L in proportion to critical ratios.

Effective green allocations (seconds) JSON

Webster illustrative C=(1.5L+5)/(1−Σcritical ratios); split effective green C−L in proportion to critical ratios.

Symbols and units
a
Critical flow ratios by phase
b
Total lost time per cycle (seconds)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Illustrative undersaturated fixed-time calculation; omits minimum pedestrian timings, coordination, saturation changes and implementation safety requirements. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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