Examples
Examples
Try the starting example
- Service events [minute,servings]; enter JSON
- [[0,30],[60,20]]
- Serving volume (millilitres)
- 200
- Usable urn capacity (litres)
- 5
- Refill preparation lead (minutes)
- 15
- Urn fills [service minute,urn fills,fill start minute,litres] (JSON)
- [[0,2,-15,6],[60,1,45,4]]
- Maximum urns at one service (count)
- 2
Try another scenario
- Service events [minute,servings]; enter JSON
- [[0,40],[45,35]]
- Serving volume (millilitres)
- 250
- Usable urn capacity (litres)
- 6
- Refill preparation lead (minutes)
- 20
- Urn fills [service minute,urn fills,fill start minute,litres] (JSON)
- [[0,2,-20,10],[45,2,25,8.75]]
- Maximum urns at one service (count)
- 2
Calculation method
Calculation method
Urn fills [service minute,urn fills,fill start minute,litres] (JSON)
Each independent service requires ceil(servings×ml/1000/urn litres) fills; start=service−lead; unused beverage does not carry between events.
Maximum urns at one service (count)
Maximum per-event whole urn requirement; event refill feasibility remains conditional on independent preparation capacity.
Symbols and units
- a
- Service events [minute,servings]; enter JSON
- b
- Serving volume (millilitres)
- c
- Usable urn capacity (litres)
- d
- Refill preparation lead (minutes)
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 simultaneous catering service. Identical urns filled once; refill times and holding duration are entered as a separate requested service schedule, not thermally certified. 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. Sorted service times; positive serving volume and urn capacity; servings nonnegative integer. Refill resource conflicts and beverage temperature behavior are unsupported; events planned independently.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.