Restaurant split-course timing calculator

Calculate dispatch schedule [course,start,end,late minutes] and total dispatch delay with your own figures.

Your numbers

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

Use dispatch schedule [course,start,end,late minutes] and total dispatch delay to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Courses [ready minute,desired dispatch minute,runner minutes]; enter JSON
[[10,12,3],[11,12,3],[15,16,2]]
Dispatch schedule [course,start,end,late minutes] (JSON)
[[1,10,13,0],[2,13,16,1],[3,16,18,0]]
Total dispatch delay (minutes)
1

Try another scenario

Courses [ready minute,desired dispatch minute,runner minutes]; enter JSON
[[10,10,4],[11,13,4],[16,16,3]]
Dispatch schedule [course,start,end,late minutes] (JSON)
[[1,10,14,0],[2,14,18,1],[3,18,21,2]]
Total dispatch delay (minutes)
3
Calculation method

Calculation method

Dispatch schedule [course,start,end,late minutes] (JSON)

Process by ready time, tie row order; start=max(ready,runner free), lateness=max(0,start−target).

Total dispatch delay (minutes)

Sum course dispatch lateness, with one runner.

Symbols and units
a
Courses [ready minute,desired dispatch minute,runner minutes]; enter JSON

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

  • One service runner and fixed course readiness; each course dispatch reserves runner for supplied minutes. 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. All numeric values must be finite. Lists contain at most 100 records; required lists must be nonempty. Rates, probabilities and fractions are entered as fractions, not percentages; fractions must be between 0 and 1. Use a single consistent user-selected currency for all amounts; no exchange-rate conversion.
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