Forecast workflow absorption semimarkov
Forecast terminal workflow outcomes and remaining time from Bayesian transition and lognormal dwell-time posteriors over status histories.
What it's for
Turns existing issue status history into probability-of-completion, cancellation risk, remaining-time ranges, and state bottlenecks for active work.
What you give it
Every tool is a pure function: it computes from what you pass it and reads nothing on its own. Inputs split into evidence you supply from your connected systems, calibration your team owns, and numerical controls that affect precision but never the result's meaning.
| Field | Type | Role | Required |
|---|---|---|---|
| current_cases | array of objects (3 fields) ≥ 1 item | Evidence | Yes |
| dirichlet_prior | number ≥ 0.01, ≤ 100 | Your calibration | Optional |
| max_detail_rows | integer ≥ 1, ≤ 500 | Numerical control | Optional |
| max_steps | integer ≥ 2, ≤ 100 | Your calibration | Optional |
| posterior_draws | integer ≥ 200, ≤ 10000 | Numerical control | Optional |
| seed | integer | Numerical control | Optional |
| states | array of string ≥ 3 items | Evidence | Yes |
| terminal_states | array of string ≥ 1 item | Evidence | Yes |
| transition_events | array of objects (4 fields) ≥ 60 items | Evidence | Yes |
Each transition_events
record
| Field | Type | Required |
|---|---|---|
| case_id | string (non-empty) | Yes |
| entered_at_days | number (≥ 0) | Yes |
| id | string (non-empty) | Yes |
| state | string (non-empty) | Yes |
{
"current_cases": [
{
"age_in_state_days": 1,
"current_state": "active",
"id": "active-checkout"
},
{
"age_in_state_days": 2,
"current_state": "review",
"id": "review-payments"
}
],
"posterior_draws": 200,
"seed": 8,
"states": [
"backlog",
"active",
"review",
"delivered",
"cancelled"
],
"terminal_states": [
"delivered",
"cancelled"
],
"transition_events": [
{
"case_id": "historical-0",
"entered_at_days": 0,
"id": "workflow-0-0",
"state": "backlog"
},
{
"case_id": "historical-0",
"entered_at_days": 2,
"id": "workflow-0-1",
"state": "active"
},
{
"case_id": "historical-0",
"entered_at_days": 6,
"id": "workflow-0-2",
"state": "review" Truncated for display — the full payload is 509 lines.
What you get back
This is the actual output of running the example above — computed by the same function the platform calls, not an illustration.
{
"assumptions": [
"The declared state is Markov-sufficient for the next-state distribution and dwell-time law within a stable analysis epoch.",
"Historical exits are representative of current work; status instrumentation, workflow definitions, and censoring rules are unchanged.",
"Dirichlet transition and lognormal dwell posteriors quantify sampling uncertainty but not omitted states, dependency shocks, or capacity feedback.",
"Forecasts concern project or work-item flow and must not be interpreted as individual performance or effort scores."
],
"case_forecasts": [
{
"age_in_state_days": 1,
"case_id": "active-checkout",
"current_state": "active",
"nonabsorption_probability": 0,
"remaining_days_p50": 9.0173,
"remaining_days_p90": 12.6818,
"terminal_probabilities": {
"cancelled": 0.245,
"delivered": 0.755
}
},
{
"age_in_state_days": 2,
"case_id": "review-payments",
"current_state": "review",
"nonabsorption_probability": 0,
"remaining_days_p50": 4.0326,
"remaining_days_p90": 4.4785,
"terminal_probabilities": {
"cancelled": 0.225,
"delivered": 0.775
}
}
],
"decision": "workflow_absorption_forecast_available",
"method": "bayesian_lognormal_semimarkov_absorption_forecast_v1",
"portfolio_forecast": {
"nonabsorption_probability": 0,
"remaining_days_p50": 6.4551,
"remaining_days_p90": 9.7446,
"terminal_probabilities": {
"cancelled": 0.235,
"delivered": 0.765
}
}, Truncated for display — the full payload is 95 lines.
How it works
Sequential Bayesian & bandits — Learn while deciding — update beliefs as evidence arrives and choose where the next unit of effort is worth spending.
- 1 Forecast terminal workflow outcomes and remaining time from Bayesian transition and lognormal dwell-time posteriors over status histories.
- 2 Evaluate the method-specific diagnostics and gates returned by the function, then abstain unless the declared decision clears them under locally governed thresholds.
Before you trust it
Every tool in the catalog ships with the conditions under which its answer is meaningful — and the conditions under which it should abstain instead of guessing.
Assumptions & guardrails
- The likelihood or reward model, prior support, action logging, delayed outcomes, and any stationarity assumptions match the deployment process.
- Posterior probability and adaptive selection are model-conditional; they are not substitutes for randomized propensities or guaranteed safety.
Minimum evidence
- transition_events: at least 60 rows/items
- current_cases: at least 1 rows/items
- states: at least 3 rows/items
- terminal_states: at least 1 rows/items
How to validate it
Use chronological train/calibration/test windows, compare proper scores and decision value with a simple baseline, and recalibrate only from outcomes resolved after prediction time.
Calibrating it to your org
Same for everyone
The mathematical kernel, validation rules, method version, and JSON output semantics are organization-independent; no tenant-trained coefficients or company benchmark is embedded in the function.
Specific to you
- days since each case's first status
- latest non-terminal case state
- age in latest state
- stable workflow epoch
- terminal status definition
- forecast population
Calibration workflow
- 1 Define the management decision, target outcome, aggregate unit, privacy boundary, cadence, and prediction/intervention horizon for this organization.
- 2 Build a tenant-scoped historical cohort using only information available before each prediction or decision; preserve zero periods, censoring, assignment probabilities, and unresolved outcomes when the method requires them.
- 3 Estimate statistical parameters on training history, but obtain costs, utilities, risk tolerance, practical-effect thresholds, capacity, and policy constraints from accountable decision owners.
- 4 Validate on later time windows or held-out aggregate units at the deployment grain, against a simple baseline and the function-specific validation strategy.
- 5 Deploy only if the returned decision clears evidence, overlap, calibration, robustness, and guardrail checks; warning, unsupported, schema-gap, and fallback decisions are abstentions.
- 6 Monitor realized outcomes, data drift, coverage, and decision regret; recalibrate at a governed cadence or after a detected regime/definition change, never merely because a stakeholder dislikes the result.
Call it from your AI
You don't wire up 388 tools in your MCP client. The GitRevio MCP server exposes 20 tools, three of which let an agent search the catalog, read a tool's schema, and run it — so the assistant finds this one on its own.
gitrevio_capabilities_search
{ "q": "forecast terminal workflow outcomes and remaining" }
→ finds "forecast_workflow_absorption_semimarkov"
gitrevio_capability_describe
{ "capability_id": "forecast_workflow_absorption_semimarkov" }
→ returns the input schema and agent guidance shown on this page
gitrevio_capability_run
{ "capability_id": "forecast_workflow_absorption_semimarkov", "arguments": { ... } }
→ returns the result shown above Works in Claude Desktop, Claude Code, Cursor, Cline, Continue.dev, Goose and Aider. See the MCP server.