Attraction queue virtual-slot spacing calculator

Calculate virtual slots [group,start minute,wait minutes] and oversized unallocated groups with your own figures.

Your numbers

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

Use virtual slots [group,start minute,wait minutes] and oversized unallocated groups to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Groups [earliest arrival minute,people]; enter JSON
[[0,4],[1,3],[5,5]]
People per cycle (count)
6
Cycle spacing (minutes)
5
Virtual slots [group,start minute,wait minutes] (JSON)
[[1,0,0],[2,5,4],[3,10,5]]
Oversized unallocated groups (count)
0

Try another scenario

Groups [earliest arrival minute,people]; enter JSON
[[0,5],[0,4],[4,4]]
People per cycle (count)
8
Cycle spacing (minutes)
6
Virtual slots [group,start minute,wait minutes] (JSON)
[[1,0,0],[2,6,6],[3,6,2]]
Oversized unallocated groups (count)
0
Calculation method

Calculation method

Virtual slots [group,start minute,wait minutes] (JSON)

Process groups by earliest arrival; search cycle ceil(arrival/spacing) onward for remaining seats; oversized group null.

Oversized unallocated groups (count)

Count party size above cycle capacity.

Symbols and units
a
Groups [earliest arrival minute,people]; enter JSON
b
People per cycle (count)
c
Cycle spacing (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

  • Fixed ride cycles from minute zero; indivisible groups fill earliest cycle with sufficient remaining seats. 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. Arrivals>=0; group/cycle capacity positive integers; cycle spacing>0; <=100 groups.
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.

Share this page
Share this calculator

Leave unchecked to share the page without your entered values.