Bakery mixing bowl utilization calculator

Calculate batch-machine schedule and unassigned batches with your own figures.

Your numbers

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

Use batch-machine schedule and unassigned batches to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Batches [dough kg,mixing minutes]; enter JSON
[[5,10],[8,12],[4,8]]
Mixer rated working capacity (kg)
6,10
Batch-machine schedule (JSON)
[{"batch":1,"mixer":1,"start":0,"end":10},{"batch":2,"mixer":2,"start":0,"end":12},{"batch":3,"mixer":1,"start":10,"end":18}]
Unassigned batches (count)
0

Try another scenario

Batches [dough kg,mixing minutes]; enter JSON
[[7,12],[9,15],[3,8]]
Mixer rated working capacity (kg)
8,8
Batch-machine schedule (JSON)
[{"batch":1,"mixer":1,"start":0,"end":12},{"batch":2,"mixer":null,"start":null,"end":null},{"batch":3,"mixer":2,"start":0,"end":8}]
Unassigned batches (count)
1
Calculation method

Calculation method

Batch-machine schedule (JSON)

For each batch choose capacity-compatible mixer with earliest free time, tie by mixer index; leave incompatible batches unassigned.

Unassigned batches (count)

Count records with no compatible mixer.

Symbols and units
a
Batches [dough kg,mixing minutes]; enter JSON
b
Mixer rated working capacity (kg)

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

  • Input-order whole-batch mixer assignment; mixing times supplied and bowls cannot share a batch. 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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