Examples
Examples
Try the starting example
- Observed consecutive departure times (minutes)
- 0,10,20,40
- Mean headway (minutes)
- 13.333333
- Population headway coefficient of variation
- 0.353553
- Estimated excess wait (minutes)
- 0.833333
Try another scenario
- Observed consecutive departure times (minutes)
- 0,5,20,30
- Mean headway (minutes)
- 10
- Population headway coefficient of variation
- 0.408248
- Estimated excess wait (minutes)
- 0.833333
Calculation method
Calculation method
Mean headway (minutes)
Mean successive departure difference.
Population headway coefficient of variation
Population standard deviation divided by mean headway.
Estimated excess wait (minutes)
Population headway variance/(2×mean headway). Assumes stationary renewal arrivals and random independent passengers.
Symbols and units
- a
- Observed consecutive departure times (minutes)
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
- Sample headways; random independent passenger arrivals assumed for renewal waiting estimate. Supported limits: All numeric inputs and computed intermediates must remain finite. Supported numeric input magnitude is zero or 1e-12 through 1e12 in absolute value; reject values outside this bounded range. All lists/JSON record tables are limited to 100 records unless a stricter bound is stated; reject malformed record arity and wrong member types. At least 3 strictly increasing times; estimate excludes finite-window edge effects.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.