Examples
Examples
Try the starting example
- Baskets [arrival minute,item count]; enter JSON
- [[0,10],[0.5,20],[1,5]]
- Scan time (seconds/item)
- 3
- Payment time (seconds/basket)
- 30
- Checkout lanes (count)
- 1
- Checkout completion schedule (JSON)
- [{"item":1,"server":1,"start":0,"end":1,"wait":0,"abandoned":false},{"item":2,"server":1,"start":1,"end":2.5,"wait":0.5,"abandoned":false},{"item":3,"server":1,"start":2.5,"end":3.25,"wait":1.5,"abandoned":false}]
- Mean wait (minutes)
- 0.666667
Try another scenario
- Baskets [arrival minute,item count]; enter JSON
- [[0,15],[0,25],[0.5,8],[1,10]]
- Scan time (seconds/item)
- 2.5
- Payment time (seconds/basket)
- 40
- Checkout lanes (count)
- 2
- Checkout completion schedule (JSON)
- [{"item":1,"server":1,"start":0,"end":1.29166666667,"wait":0,"abandoned":false},{"item":2,"server":2,"start":0,"end":1.70833333333,"wait":0,"abandoned":false},{"item":3,"server":1,"start":1.29166666667,"end":2.29166666667,"wait":0.791666666667,"abandoned":false},{"item":4,"server":2,"start":1.70833333333,"end":2.79166666667,"wait":0.708333333333,"abandoned":false}]
- Mean wait (minutes)
- 0.375
Calculation method
Calculation method
Checkout completion schedule (JSON)
Basket service minutes=(items×scan seconds+payment seconds)/60; FCFS earliest-free lane.
Mean wait (minutes)
Mean simulated start−arrival.
Symbols and units
- a
- Baskets [arrival minute,item count]; enter JSON
- b
- Scan time (seconds/item)
- c
- Payment time (seconds/basket)
- d
- Checkout lanes (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
- Measured scan seconds/item and payment seconds/basket, with FCFS identical checkout lanes. 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.