Trades aggregate supervision ratio coverage calculator

Calculate coverage [start,end,apprentices,supervisors,gap] and uncovered supervisor-minutes with your own figures.

Your numbers

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

Use coverage [start,end,apprentices,supervisors,gap] and uncovered supervisor-minutes to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Apprentice tasks [start minute,end minute,apprentice count]; enter JSON
[[0,60,3],[30,90,2]]
Supervisor availability [start minute,end minute,supervisor count]; enter JSON
[[0,90,1]]
User maximum apprentices per supervisor
3
Coverage [start,end,apprentices,supervisors,gap] (JSON)
[[0,30,3,1,0],[30,60,5,1,1],[60,90,2,1,0]]
Uncovered supervisor-minutes
30

Try another scenario

Apprentice tasks [start minute,end minute,apprentice count]; enter JSON
[[0,60,4],[30,90,3]]
Supervisor availability [start minute,end minute,supervisor count]; enter JSON
[[0,45,2],[45,90,1]]
User maximum apprentices per supervisor
3
Coverage [start,end,apprentices,supervisors,gap] (JSON)
[[0,30,4,2,0],[30,45,7,2,1],[45,60,7,1,2],[60,90,3,1,0]]
Uncovered supervisor-minutes
45
Calculation method

Calculation method

Coverage [start,end,apprentices,supervisors,gap] (JSON)

Split at every interval boundary; required supervisors=ceil(active apprentices/user ratio); gap=max(0,required−available).

Uncovered supervisor-minutes

Sum interval duration×supervisor gap.

Symbols and units
a
Apprentice tasks [start minute,end minute,apprentice count]; enter JSON
b
Supervisor availability [start minute,end minute,supervisor count]; enter JSON
c
User maximum apprentices per supervisor

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

  • Aggregate supervision coverage under a user-supplied ratio; does not establish legally adequate supervision. 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. Start<end; nonnegative integer staff counts; ratio positive integer; no simultaneous task overlap deduplication per named person.
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