Examples
Examples
Try the starting example
- Interval sales (units)
- 5,8,10,6
- Display capacity (units)
- 12
- Reserve stock (units)
- 20
- Refill and shortage ledger (JSON)
- {"refills":[[1,5],[2,8],[3,7]],"shortages":[],"served":29,"display_remaining":3,"reserve_remaining":0}
- Unserved sales (units)
- 0
Try another scenario
- Interval sales (units)
- 6,12,8,7
- Display capacity (units)
- 15
- Reserve stock (units)
- 15
- Refill and shortage ledger (JSON)
- {"refills":[[1,6],[2,9]],"shortages":[[3,3]],"served":30,"display_remaining":0,"reserve_remaining":0}
- Unserved sales (units)
- 3
Calculation method
Calculation method
Refill and shortage ledger (JSON)
Start full display; before each interval if demand>stock refill min(capacity−stock,reserve), then sell available stock and record lost demand.
Unserved sales (units)
Sum interval shortages.
Symbols and units
- a
- Interval sales (units)
- b
- Display capacity (units)
- c
- Reserve stock (units)
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
- Zero-lead reserve refill when display cannot cover an interval; one refill per interval and capacity respected. 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.
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.