THE NUMBERS, EXPLAINED
How to use this calculator.
Assumes every vehicle can complete a fixed number of identical round trips within each window and starts ready at the window opening. Loading, traffic, breaks and wheelchair capacity need separate allowances.
Start with your inputs
Enter guests by departure window, vehicle passenger capacity, round-trip cycle time (minutes), departure window length (minutes). Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Guests by departure window | 100,50 |
| Vehicle passenger capacity | 20 |
| Round-trip cycle time (minutes) | 30 |
| Departure window length (minutes) | 60 |
A worked example
With the example inputs above, trips required by window is 5, 3. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Trips required by window | 5, 3 |
| Vehicles required by window | 3, 2 |
| Peak vehicles required | 3 |
| Trip slots per vehicle | 2 |
How this is calculated
Trips required by window
For each window, round up guests ÷ passenger capacity.
Vehicles required by window
For each window, round up trips required ÷ trip slots per vehicle.
Peak vehicles required
Largest vehicle count among the departure windows.
Trip slots per vehicle
Round up window minutes ÷ round-trip cycle minutes.
Symbols and units
- a
- Guests by departure window
- b
- Vehicle passenger capacity
- c
- Round-trip cycle time (minutes)
- d
- Departure window length (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
Assumes every vehicle can complete a fixed number of identical round trips within each window and starts ready at the window opening. Loading, traffic, breaks and wheelchair capacity need separate allowances.
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?
Trips required by window; Vehicles required by window; Peak vehicles required; Trip slots per vehicle. 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: Assumes every vehicle can complete a fixed number of identical round trips within each window and starts ready at the window opening. Loading, traffic, breaks and wheelchair capacity need separate allowances.
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: unit rates and proportions ↗
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.
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