Toy library rotation plan calculator

Calculate rotation schedule [start day,end day,visible group IDs] and minimum off-display storage capacity with your own figures.

Your numbers

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

Use rotation schedule [start day,end day,visible group IDs] and minimum off-display storage capacity to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Toy group IDs JSON in user rotation order
["blocks","puzzles","cars","craft"]
Display shelf capacity (groups)
2
Rotation interval (days)
7
Number of rotation periods (periods)
4
Rotation schedule [start day,end day,visible group IDs]
[[0,7,["blocks","puzzles"]],[7,14,["cars","craft"]],[14,21,["blocks","puzzles"]],[21,28,["cars","craft"]]]
Minimum off-display storage capacity (groups)
2
Time for one nominal pass through groups (days)
14

Try another scenario

Toy group IDs JSON in user rotation order
["blocks","puzzles","cars","craft"]
Display shelf capacity (groups)
3
Rotation interval (days)
7
Number of rotation periods (periods)
4
Rotation schedule [start day,end day,visible group IDs]
[[0,7,["blocks","puzzles","cars"]],[7,14,["craft","blocks","puzzles"]],[14,21,["cars","craft","blocks"]],[21,28,["puzzles","cars","craft"]]]
Minimum off-display storage capacity (groups)
1
Time for one nominal pass through groups (days)
14
Calculation method

Calculation method

Rotation schedule [start day,end day,visible group IDs]

At period k display up to shelfCapacity distinct groups, starting at (k*capacity) mod groupCount, wrapping circularly.

Minimum off-display storage capacity (groups)

max(0,totalGroups-displayCapacity).

Time for one nominal pass through groups (days)

ceil(groupCount/capacity)*interval.

Symbols and units
a
Toy group IDs JSON in user rotation order
b
Display shelf capacity (groups)
c
Rotation interval (days)
d
Number of rotation periods (periods)

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

  • Equal-sized shelf-group model with round-robin rotation; no developmental or age judgments. Slots count groups, not cubic volume. Supported limits: 1..100 unique groups; capacity integer 1..100; interval>0; periods 1..100; repeated wrapped groups are suppressed within a period.
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