Examples
Examples
Try the starting example
- Arrival times (minutes)
- 0,1,2
- Measured service durations (minutes)
- 3,3,3
- Parallel service stations (count)
- 1
- FCFS completion schedule (JSON)
- [{"item":1,"server":1,"start":0,"end":3,"wait":0,"abandoned":false},{"item":2,"server":1,"start":3,"end":6,"wait":2,"abandoned":false},{"item":3,"server":1,"start":6,"end":9,"wait":4,"abandoned":false}]
- Mean queue wait (minutes)
- 2
- Last completion (minute)
- 9
Try another scenario
- Arrival times (minutes)
- 0,0,1
- Measured service durations (minutes)
- 2,2,4
- Parallel service stations (count)
- 2
- FCFS completion schedule (JSON)
- [{"item":1,"server":1,"start":0,"end":2,"wait":0,"abandoned":false},{"item":2,"server":2,"start":0,"end":2,"wait":0,"abandoned":false},{"item":3,"server":1,"start":2,"end":6,"wait":1,"abandoned":false}]
- Mean queue wait (minutes)
- 0.333333
- Last completion (minute)
- 6
Calculation method
Calculation method
FCFS completion schedule (JSON)
Stable arrival order, earliest-free station, station-number tie break; start=max(arrival,station free).
Mean queue wait (minutes)
Mean start−arrival across all records.
Last completion (minute)
Maximum completion minute.
Symbols and units
- a
- Arrival times (minutes)
- b
- Measured service durations (minutes)
- c
- Parallel service stations (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
- Each arrival is one dishwasher rack and supplied service duration includes loading, cycle and unloading; identical dishwashers. 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. Equal nonempty arrival/service lists with <=100 records; arrival>=0, service>0, station count 1..20. FCFS identical stations, no balking, no interruptions.
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.