Examples
Examples
Try the starting example
- Intervals: name, expected arrivals, mean handling minutes, interval minutes
- I1,60,5,30 I2,30,5,30
- Maximum occupied share of productive time (%)
- 80
- Scheduled time unavailable as shrinkage (%)
- 25
- Scheduled agents by interval
- I1: 17; I2: 9
- Peak scheduled agents
- 17
- Expected handling workload by interval (minutes)
- I1: 300; I2: 150
- Productive-agent equivalents at entered occupancy
- I1: 12.5; I2: 6.25
Try another scenario
- Intervals: name, expected arrivals, mean handling minutes, interval minutes
- I1,60,5,30 I2,30,5,30
- Maximum occupied share of productive time (%)
- 80
- Scheduled time unavailable as shrinkage (%)
- 0
- Scheduled agents by interval
- I1: 13; I2: 7
- Peak scheduled agents
- 13
- Expected handling workload by interval (minutes)
- I1: 300; I2: 150
- Productive-agent equivalents at entered occupancy
- I1: 12.5; I2: 6.25
Calculation method
Calculation method
Scheduled agents by interval
ceil(arrivals×handling/(interval×occupancy×(1−shrinkage))). Round once after both supplied factors.
Peak scheduled agents
Maximum interval scheduled count, not a simultaneous sum of nonoverlapping intervals.
Expected handling workload by interval (minutes)
Expected arrivals×mean handling minutes.
Productive-agent equivalents at entered occupancy
Workload/(interval duration×occupancy), before shrinkage.
Symbols and units
- a
- Intervals: name, expected arrivals, mean handling minutes, interval minutes
- b
- Maximum occupied share of productive time (%)
- c
- Scheduled time unavailable as shrinkage (%)
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
- A workload/occupancy/shrinkage worksheet. It does not infer a service-level target or arrival distribution; interval peaks are a model requirement rather than a staffing guarantee.
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.
Further reading
MIT: multiserver queues and Erlang C ↗
Background reading; this does not imply endorsement or independent review of SumFizz.