Examples
Examples
Try the starting example
- Observed dwell durations (minutes)
- 30,45,60
- Entry slot spacing (minutes)
- 15
- User desired occupancy (visitors)
- 100
- Planned entries by slot (counts)
- 20,20,20,20,20
- Expected occupancy and uniform slot bound (JSON)
- {"expected_occupancy":[20,40,53.3333333333,60,60],"uniform_entry_bound":33,"expected_overflow":[0,0,0,0,0]}
- Maximum expected occupancy (visitors)
- 60
Try another scenario
- Observed dwell durations (minutes)
- 20,40,60
- Entry slot spacing (minutes)
- 20
- User desired occupancy (visitors)
- 90
- Planned entries by slot (counts)
- 25,25,25,25
- Expected occupancy and uniform slot bound (JSON)
- {"expected_occupancy":[25,41.6666666667,50,50],"uniform_entry_bound":45,"expected_overflow":[0,0,0,0]}
- Maximum expected occupancy (visitors)
- 50
Calculation method
Calculation method
Expected occupancy and uniform slot bound (JSON)
For each prior slot multiply entries by fraction of dwell samples exceeding elapsed time. Sum. Uniform bound=floor(desired occupancy/max expected overlap coefficient).
Maximum expected occupancy (visitors)
Maximum slot-start expected occupancy.
Symbols and units
- a
- Observed dwell durations (minutes)
- b
- Entry slot spacing (minutes)
- c
- User desired occupancy (visitors)
- d
- Planned entries by slot (counts)
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
- Empirical dwell samples define expected occupancy at slot starts; the uniform slot bound is an expectation calculation, not a guaranteed crowd limit. 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. Positive dwell samples; spacing>0; nonnegative integer entries; <=100 slots; equal-weight dwell samples assumed independent of entry slot.
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.