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Quantitative Schedule Risk Analysis — completion S-curve, P50 and P80

Cumulative probability curves from a Monte Carlo schedule risk analysis of a CPM network, pre- and post-mitigation, reading off the confidence in the deterministic finish date and the P50 and P80 dates used to set schedule contingency, as required by AACE RP 57R-09.

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Quantitative schedule risk analysis — completion date distribution2 series (line). x from 98 to 126 — Project completion. y from 0 to 100 — Cumulative probability. Series: Pre-mitigation (register as assessed); Post-mitigation (agreed actions delivered).Quantitative schedule risk analysis — completion date distribution5,000 iterations, Latin hypercube, on a 412-activity Level-3 network · 2 series · 26 pointsPre-mitigation (register as assessed)Post-mitigation (agreed actions delivered)100105110115120125Project completion (week after award)0255075100Cumulative probability (%)Pre-mitigation (register as assessed)Post-mitigation (agreed actions delivered)Three-point durations on 96 risk-loaded activities plus 7 correlated risk events; correlation set at 0.3 within each discipline.The deterministic CPM finish is week 104. Post-mitigation it carries 12% confidence, pre-mitigation 5%. That is the usual finding, and the reason a deterministic date is notthe date you commit.Post-mitigation P50 = week 110, P80 = week 116. Pre-mitigation P50 = week 113, P80 = week 119. The agreed mitigations are worth 3 weeks at both confidence levels.Holding an 80% commitment needs 12 weeks of schedule contingency measured from week 104, of which 6 weeks is already implied by the P50.These curves are the run's output only. They carry no allowance for the two register entries marked unquantified, so they are a floor on exposure, not a bound on it.

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title: Quantitative schedule risk analysis — completion date distribution
subtitle: 5,000 iterations, Latin hypercube, on a 412-activity Level-3 network
x: Project completion (week after award)
y: Cumulative probability (%)
x limits: 98 .. 126
y limits: 0 .. 100
grid: both
legend: bottom

line "Pre-mitigation (register as assessed)" colour: red curve: monotone
  100  0
  102  1
  104  5
  106 12
  108 22
  110 33
  112 45
  114 56
  116 67
  118 76
  120 84
  122 90
  124 94

line "Post-mitigation (agreed actions delivered)" colour: blue curve: monotone
  100  1
  102  4
  104 12
  106 24
  108 38
  110 50
  112 62
  114 73
  116 82
  118 89
  120 94
  122 97
  124 99

note: Three-point durations on 96 risk-loaded activities plus 7 correlated risk events; correlation set at 0.3 within each discipline.
note: The deterministic CPM finish is week 104. Post-mitigation it carries 12% confidence, pre-mitigation 5%. That is the usual finding, and the reason a deterministic date is not the date you commit.
note: Post-mitigation P50 = week 110, P80 = week 116. Pre-mitigation P50 = week 113, P80 = week 119. The agreed mitigations are worth 3 weeks at both confidence levels.
note: Holding an 80% commitment needs 12 weeks of schedule contingency measured from week 104, of which 6 weeks is already implied by the P50.
note: These curves are the run's output only. They carry no allowance for the two register entries marked unquantified, so they are a floor on exposure, not a bound on it.