Cafe espresso resource capacity bound calculator

Calculate work-content capacity bound and limiting modeled resource with your own figures.

Your numbers

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

Use work-content capacity bound and limiting modeled resource to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Order mix [name,share,group seconds/order,steam seconds/order,staff seconds/order]; enter JSON
[["Espresso",0.4,30,0,20],["Latte",0.6,30,40,40]]
Independent brew groups (count)
2
Simultaneous steam wands (count)
1
Available staff (count)
1
Work-content capacity bound (orders/hour)
112.5
Limiting modeled resource (text)
staff
Resource capacities (orders/hour, JSON)
[240,150,112.5]

Try another scenario

Order mix [name,share,group seconds/order,steam seconds/order,staff seconds/order]; enter JSON
[["Espresso",0.25,25,0,18],["Latte",0.75,30,35,35]]
Independent brew groups (count)
2
Simultaneous steam wands (count)
2
Available staff (count)
2
Work-content capacity bound (orders/hour)
234.146341
Limiting modeled resource (text)
staff
Resource capacities (orders/hour, JSON)
[250.434782609,274.285714286,234.146341463]
Calculation method

Calculation method

Work-content capacity bound (orders/hour)

For each resource, capacity=3600×parallel units/mix-weighted seconds per order. Minimum finite resource capacity.

Limiting modeled resource (text)

Resource attaining minimum capacity; ties group then steam then staff.

Resource capacities (orders/hour, JSON)

Group,steam,staff capacity; null means zero work for resource.

Symbols and units
a
Order mix [name,share,group seconds/order,steam seconds/order,staff seconds/order]; enter JSON
b
Independent brew groups (count)
c
Simultaneous steam wands (count)
d
Available staff (count)

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

  • Work-content capacity bound under supplied order mix; does not prove a detailed espresso workflow schedule. 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. Nonempty mix; shares in [0,1] sum to 1; times>=0; at least one positive resource demand.
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