PERT three-point estimate (analytical)
pert_estimateCompute a PERT estimate from optimistic, most-likely, and pessimistic task values to get expected durations, project mean, and values at chosen confidence levels.
Instructions
Compute a classic PERT estimate from tasks with optimistic / most-likely / pessimistic values. Returns each task's expected value and standard deviation, the rolled-up project mean and standard deviation, and the value achievable at each confidence level (via a normal approximation). Instant and deterministic - use it for a quick estimate or to cross-check a Monte Carlo forecast. Assumes tasks are independent and summed.
Tool call template
Replace each placeholder with a value matching the input schema. Only required parameters are included; add optional parameters as needed.
{
"id": 1,
"jsonrpc": "2.0",
"method": "tools/call",
"params": {
"arguments": {
"tasks": "<tasks>"
},
"name": "pert_estimate"
}
}Input Schema
| Name | Required | Description | Default |
|---|---|---|---|
| unit | No | Unit label for display. | days |
| tasks | Yes | ||
| confidence | No | Confidence levels (percent) at which to report achievable values. |
Output Schema
| Name | Required | Description | Default |
|---|---|---|---|
| unit | Yes | ||
| items | Yes | ||
| projectMean | Yes | ||
| projectStdDev | Yes | ||
| projectVariance | Yes | ||
| confidenceLevels | Yes |