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Estimate

Three-point (PERT) estimation, then a reference-class bias check against actuals from comparable finished projects.

Takes
An optimistic / most-likely / pessimistic three-point estimate in any unit, plus planned-vs-actual figures from comparable finished projects.
Returns
A PERT expected value, standard deviation, and P50/P80/P90 range — then a historical overrun ratio from your comparables and a bias-adjusted forecast.

Deterministic — no model call, no network. Pure function, not a probabilistic rater; the T1–T3 reliability-tier doctrine does not apply.

Will not

  • Judge whether your three-point inputs are realistic — garbage in, garbage out.
  • Source comparable projects for you — you supply the actuals.
  • Guarantee the P50/P80/P90 range: it assumes a roughly symmetric distribution around the PERT mean, a standard approximation, not a certainty.

1. Three-point estimate (PERT)

Expected = (o + 4m + p) / 6. Std dev = (p − o) / 6.

Expected
14.33 days
Std dev
3.67 days
P50
14.33 days
P80
17.42 days
P90
19.03 days

2. Reference-class bias check

Re-anchors the PERT expected value above (14.33 days) against actuals from comparable finished projects.

optimism bias
160%
125%
Median overrun ratio
143%

mean: 143% · n=2

Bias-adjusted forecast
20.43 days

= PERT expected value × median overrun ratio from your comparables