THE NUMBERS, EXPLAINED
How to use this calculator.
Same-day inclusive service window. Exclusions remove exact scheduled departures; they do not shift later departures.
Start with your inputs
Enter first departure (minute after midnight), last allowed departure (minute after midnight), headway (min), excluded departure minutes. Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| First departure (minute after midnight) | 360 |
| Last allowed departure (minute after midnight) | 420 |
| Headway (min) | 15 |
| Excluded departure minutes | 390 |
A worked example
With the example inputs above, departure clock times is 06:00, 06:15, 06:45, 07:00. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Departure clock times | 06:00, 06:15, 06:45, 07:00 |
| Departures | 4 |
How this is calculated
Departure clock times
Generate every headway from first departure through the end, remove exclusions, then format HH:MM.
Departures
Count generated departures after exclusions.
Symbols and units
- a
- First departure (minute after midnight)
- b
- Last allowed departure (minute after midnight)
- c
- Headway (min)
- d
- Excluded departure 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 and limits
Same-day inclusive service window. Exclusions remove exact scheduled departures; they do not shift later departures.
Calculations use the values you enter. Blank or invalid inputs show an error instead of silently substituting zero. Results are displayed to useful precision; calculations retain the underlying numeric precision.
Questions about this tool
What does the result tell me?
Departure clock times; Departures. The result applies to the method and inputs described above. Check the units and assumptions before using it in a decision.
Why might another calculator differ?
Differences in units, rounding, timing or model definitions can produce different answers. Compare the input definitions and the method, rather than only the final number. For this tool: Same-day inclusive service window. Exclusions remove exact scheduled departures; they do not shift later departures.
Are my inputs stored or sent to AI?
Calculations on this page happen in your browser. The separate AI question finder sends its submitted conversation to OpenAI; these calculator fields are not sent. Favourites and recent tool names are stored locally. A shared link contains the inputs you choose to include.
Further reading
OpenStax: Solve proportions and their applications ↗
Background reading; this does not imply endorsement or independent review of SumFizz.
Review status
Software example and browser checks are recorded in our quality report. No external expert review is claimed. Created with coding assistance; calculations run as ordinary browser code.
Read the quality report →