50 working calculators
Make the maths useful.
Find the question, change the inputs and follow the answer. From demand and roster FTE to service levels, backlogs and costs.
Identity
Arithmetic from defined inputs; data definitions matter.
Model estimate
An outcome conditional on queue-model assumptions.
Planning assumption
An aggregate estimate that needs operational validation.
Staffing & shrinkage · Planning assumption
Demand to roster FTE
Trace demand through workload, occupancy and shrinkage to roster size.
Use your active project
Upload data or load a sample in the workspace, then return here using the Calculation Library link. The project stays in memory during site navigation; a full refresh clears it. Save your private project before closing or refreshing.
ReferenceFormula
contacts × AHT ÷ [3,600 × concurrency × hours/FTE × occupancy × (1 − shrinkage)]
Calculator inputs
Your result
- Handling workloadCalculated
- 833.3333 hours
- Available agent time neededCalculated
- 980.3922 hours
- Paid roster time neededCalculated
- 1,400.5602 hours
- Roster requirementCalculated
- 8.7535 FTE
- Whole full-time peopleCalculated
- 9 people
Assumptions and limits
Same period for demand and hours/FTE. This is a workload plan, not Erlang C or a feasible shift schedule.
Worked example · sample inputs
- Contacts
- 10000 contacts
- Average handling time
- 300 seconds/contact
- Paid hours per FTE in this period
- 160 hours/FTE
- Occupancy
- 85 %
- Shrinkage
- 30 %
- Effective concurrency (1 for single-contact work)
- 1 simultaneous contacts
Substitute these sample inputs into the formula above:
- Handling workloadCalculated
- 833.3333 hours
- Available agent time neededCalculated
- 980.3922 hours
- Paid roster time neededCalculated
- 1,400.5602 hours
- Roster requirementCalculated
- 8.7535 FTE
- Whole full-time peopleCalculated
- 9 people
Calculator baselines and manual scenarios do not change your planning project. Related workflow: Staffing Strategy. The active project remains in browser memory during client navigation; full refresh clears it. Calculator edits stay in this page’s memory; only favourite calculator IDs are remembered in this browser. Downloads are created on your device.
Definitions and supporting references
Workload, shrinkage and queue calculators reuse LoughPoint’s shared maths. Queue definitions: GNU Octave Erlang C reference. Forecast metrics: Forecasting: Principles and Practice and Hyndman’s WAPE discussion. Formulas are written explicitly so numerator, denominator and sign conventions can be checked.
