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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.

Metric glossaryFAQPlanning methodologies

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.