Examples
Examples
Try the starting example
- Arrival times (minutes)
- 0,1,2,3
- Service durations (minutes)
- 4,4,2,2
- Maximum tolerated waits (minutes)
- 5,2,2,4
- Servers (count)
- 1
- Served customers (count)
- 3
- Abandoned customers (count)
- 1
- Customer queue outcomes (JSON)
- [{"item":1,"server":1,"start":0,"end":4,"wait":0,"abandoned":false},{"item":2,"server":1,"start":null,"end":null,"wait":3,"abandoned":true},{"item":3,"server":1,"start":4,"end":6,"wait":2,"abandoned":false},{"item":4,"server":1,"start":6,"end":8,"wait":3,"abandoned":false}]
Try another scenario
- Arrival times (minutes)
- 0,0,1,2
- Service durations (minutes)
- 3,3,3,3
- Maximum tolerated waits (minutes)
- 0,1,2,3
- Servers (count)
- 2
- Served customers (count)
- 4
- Abandoned customers (count)
- 0
- Customer queue outcomes (JSON)
- [{"item":1,"server":1,"start":0,"end":3,"wait":0,"abandoned":false},{"item":2,"server":2,"start":0,"end":3,"wait":0,"abandoned":false},{"item":3,"server":1,"start":3,"end":6,"wait":2,"abandoned":false},{"item":4,"server":2,"start":3,"end":6,"wait":1,"abandoned":false}]
Calculation method
Calculation method
Served customers (count)
Simulate FCFS earliest-free-server; customer abandons when start−arrival>patience.
Abandoned customers (count)
Count records above their patience threshold.
Customer queue outcomes (JSON)
Return station,start,end,modeled wait and abandonment for each arrival.
Symbols and units
- a
- Arrival times (minutes)
- b
- Service durations (minutes)
- c
- Maximum tolerated waits (minutes)
- d
- Servers (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
- FCFS service with per-customer patience; abandon if predicted wait strictly exceeds entered threshold, before reserving server. 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 lists; arrivals and patience>=0, service>0; servers 1..20.
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.