ICM · Research & Decision Studio · delivery-atlas · Model 1.1.1 · Illustrative inputs
Execution scheduling
Delivery atlas
Expose precedence, schedule float and the assumptions behind a completion estimate.
Delivery / dependenciesIllustrative composition
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ICM · Delivery atlas · Model 1.1.1 · Default illustrative record
Default illustrative result
The dependency schedule takes 35 weeks under PERT means. 1 critical path has no total float. The first displayed path contains 5 activities and has a 2.69% selected-path deadline approximation for week 30; this does not quantify full-DAG deadline confidence.
| Metric | Value | Unit | Calculation boundary |
|---|---|---|---|
| Expected CPM duration | 35 | weeks | |
| Critical activities | 5 | ||
| Selected-path deadline approximation | 2.6898089406839745 | % | Normal approximation for the first displayed path, not full-DAG completion probability. |
| Selected-path standard deviation | 2.592724864350674 | weeks |
| ID | Activity | Predecessors | PERT durationweeks | Varianceweeks² | Earliest startweek | Earliest finishweek | Latest startweek | Latest finishweek | Total floatweeks | Critical |
|---|---|---|---|---|---|---|---|---|---|---|
| A | Scope and design | 4.333333333333333 | 0.4444444444444444 | 0 | 4.333333333333333 | 0 | 4.333333333333333 | 0 | Yes | |
| B | Permits | A | 9.666666666666666 | 2.7777777777777777 | 4.333333333333333 | 14 | 4.333333333333333 | 14 | 0 | Yes |
| C | Procurement | A | 7.333333333333333 | 1 | 4.333333333333333 | 11.666666666666666 | 18.166666666666668 | 25.5 | 13.833333333333334 | No |
| D | Civil works | B | 11.5 | 2.25 | 14 | 25.5 | 14 | 25.5 | 0 | Yes |
| E | Installation | C, D | 6.333333333333333 | 1 | 25.5 | 31.833333333333332 | 25.5 | 31.833333333333332 | 0 | Yes |
| F | Commissioning | E | 3.1666666666666665 | 0.25 | 31.833333333333332 | 35 | 31.833333333333332 | 35 | 0 | Yes |
| Path | Activity IDs | Durationweeks | Path varianceweeks² | Deadline approximation |
|---|---|---|---|---|
| 1 | A → B → D → E → F | 35 | 6.722222222222222 | Selected path |
| Duration assumption | Schedule durationweeks |
|---|---|
| optimistic | 23 |
| expected | 35 |
| pessimistic | 55 |
Inputs behind this result
| Assumption and unit | Exact supplied value |
|---|---|
| Target completion (weeks) | 30 |
| Activity ID | Activity | Optimistic durationweeks | Most likely durationweeks | Pessimistic durationweeks | Predecessor IDs, comma separated |
|---|---|---|---|---|---|
| A | Scope and design | 3 | 4 | 7 | |
| B | Permits | 6 | 9 | 16 | A |
| C | Procurement | 5 | 7 | 11 | A |
| D | Civil works | 8 | 11 | 17 | B |
| E | Installation | 4 | 6 | 10 | C, D |
| F | Commissioning | 2 | 3 | 5 | E |
Transparent method
- PERT mean = (optimistic + 4 × most likely + pessimistic) / 6. Variance = ((pessimistic − optimistic) / 6)^2.
- Forward CPM gives earliest start/finish; backward CPM gives latest start/finish; total float = latest start − earliest start.
- Every critical path is a start-to-finish path of zero-float activities with contiguous earliest times. At most 50 are displayed.
- Deadline probability uses a normal approximation with variance summed on the first displayed critical path.
- PERT means, CPM dates, float and path membership use exact rational arithmetic for canonical decimal inputs. Positive float remains positive at every supported scale.
Limits
- No resource levelling, calendars, correlated durations, uncertainty simulation or contract completion warranty.
- Normal approximation ignores competing near-critical paths and path switching. Multiple critical paths make the probability especially limited.
- Standard deviation and the selected-path normal CDF use numerical approximation. Arithmetic exactness does not remove omitted paths, correlations or uncertainty in duration inputs.
- Numerical input precision: use zero or absolute values of at least 0.000000001. Smaller nonzero inputs are rejected explicitly.