Optimize reliability investment frontier

Construct a dependency- and exclusion-feasible Pareto frontier across investment cost, expected residual loss, CVaR loss, and expected downtime under coherent scenarios and explicit pair interactions, then select the least-cost evaluated portfolio clearing governed reliability targets.

What it's for

Lets CTOs see the actual efficient tradeoff between reliability spend, downtime, expected loss and catastrophic tail exposure instead of accepting one opaque priority score.

What you give it

Inputs split into evidence read from your connected systems, calibration your team owns, and numerical controls that affect precision but never the result's meaning.

Field Type Role Required
budget number ≥ 0 Your calibration Yes
capacity_units number ≥ 0 Your calibration Yes
initiatives array of objects (7 fields) ≥ 1 item Evidence Yes
interactions array of objects (5 fields) Evidence Yes
max_detail_rows integer ≥ 1, ≤ 500 Numerical control Optional
maximum_cvar_loss number ≥ 0 Your calibration Optional
maximum_exact_states integer ≥ 2, ≤ 65536 Numerical control Optional
maximum_expected_downtime_hours number ≥ 0 Your calibration Optional
maximum_frontier_states integer ≥ 10, ≤ 100000 Your calibration Optional
scenarios array of objects (4 fields) ≥ 2 items Evidence Yes
tail_probability number ≥ 0.001, ≤ 0.5 Your calibration Optional

Each initiatives record

Field Type Required
capacity_units number (≥ 0) Yes
cost number (≥ 0) Yes
dependency_ids array of string Yes
downtime_reduction_hours_scenarios array of number (≥ 2 items) Yes
exclusion_ids array of string Yes
id string (non-empty) Yes
loss_reduction_scenarios array of number (≥ 2 items) Yes
Example input
{
  "budget": 60,
  "capacity_units": 5,
  "initiatives": [
    {
      "capacity_units": 1,
      "cost": 10,
      "dependency_ids": [],
      "downtime_reduction_hours_scenarios": [
        2,
        10,
        20
      ],
      "exclusion_ids": [],
      "id": "monitoring",
      "loss_reduction_scenarios": [
        20,
        100,
        200
      ]
    },
    {
      "capacity_units": 2,
      "cost": 30,
      "dependency_ids": [
        "monitoring"
      ],
      "downtime_reduction_hours_scenarios": [
        3,
        15,
        50
      ],
      "exclusion_ids": [],
      "id": "redundancy",
      "loss_reduction_scenarios": [
        30,
        150,
        500
      ]
    },
    {
      "capacity_units": 1,
      "cost": 15,
      "dependency_ids": [],

Truncated for display — the full payload is 82 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.

Example output
{
  "assumptions": [
    "Every initiative and interaction uses the same coherent loss and downtime scenario columns, horizon, currency, availability definition and counterfactual; reductions are incremental, executable and jointly reconciled rather than independently claimed benefits added together.",
    "Dependencies and exclusions are complete, budget and capacity units are comparable, and scenario probabilities plus the tail level are governed. Capping reductions at baseline prevents negative residuals but does not repair omitted overlap or common-mode failure.",
    "Exact mode certifies the frontier only over every feasible submitted portfolio. Heuristic mode returns a supported set without a global certificate and must not be described as the complete Pareto frontier or a guaranteed optimum.",
    "The selected portfolio is the least-cost evaluated portfolio clearing declared aggregate downtime and CVaR targets; it is not an availability guarantee, causal effect, vendor score, staffing order or authorization to purchase, deploy or discontinue anything."
  ],
  "configuration": {
    "budget": 60,
    "capacity_units": 5,
    "maximum_cvar_loss": 350,
    "maximum_expected_downtime_hours": 12,
    "reductions_capped_at_scenario_baseline": true,
    "tail_probability": 0.1
  },
  "decision": "select_minimum_cost_target_clearing_reliability_portfolio",
  "method": "constrained_reliability_cost_downtime_tail_pareto_frontier_v1",
  "pareto_frontier": [
    {
      "capacity_units": 0,
      "cvar_residual_loss": 1000,
      "expected_residual_downtime_hours": 25,
      "expected_residual_loss": 250,
      "pareto_efficient": true,
      "passes_cvar_target": false,
      "passes_downtime_target": false,
      "selected_initiative_ids": [],
      "total_cost": 0
    },
    {
      "capacity_units": 1,
      "cvar_residual_loss": 800,
      "expected_residual_downtime_hours": 19.6,
      "expected_residual_loss": 196,
      "pareto_efficient": true,
      "passes_cvar_target": false,
      "passes_downtime_target": false,
      "selected_initiative_ids": [
        "monitoring"
      ],
      "total_cost": 10
    },
    {
      "capacity_units": 2,

Truncated for display — the full payload is 151 lines.

How it works

Forecasting & survival — Estimate when something completes or fails, with censoring and unresolved work handled honestly rather than dropped.

  1. 1 Freeze coherent baseline loss and downtime scenarios, candidate initiative cost/capacity, scenario reductions, dependencies, exclusions and all material pair synergies or overlap effects on one horizon and counterfactual.
  2. 2 Enumerate every feasible portfolio inside the exact-state boundary or build a disclosed multiweight dependency-closure greedy supported set, cap reductions at each scenario baseline, and compute expected loss, CVaR loss and expected downtime.
  3. 3 Remove four-objective dominated portfolios, preserve solver certainty, and choose the least-cost evaluated portfolio that clears the declared downtime and tail-loss targets—or retain the status quo or abstain when appropriate.

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

  • Training examples precede their outcomes, censoring and unresolved work are represented, and deployment populations remain comparable to validation cohorts.
  • Initiative reductions and interactions are jointly incremental rather than double-counted, scenarios preserve common-mode failure and recovery dependence, and the submitted dependency, exclusion, budget, capacity and implementation boundaries are complete.
  • A predictive interval or risk estimate is not a deadline promise, causal explanation, or individual-performance judgment.
  • Only exact mode certifies the complete frontier over submitted portfolios; target clearance is model-conditional and is not an availability guarantee, procurement authority, staffing instruction or substitute for architecture and failure-mode review.

Minimum evidence

  • initiatives: at least 1 rows/items
  • scenarios: at least 2 rows/items
  • interactions: required and organization-defined
  • budget: required and organization-defined
  • capacity_units: required and organization-defined

How to validate it

Backtest the chosen action against simple feasible baselines on held-out scenarios, sweep costs/constraints/risk tolerance, and require constraint feasibility under adverse inputs.

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

  • joint prospective failure-and-recovery scenario model calibrated from incident, service, dependency and continuity evidence, with initiative causal effect ranges and overlap reconciled against one no-investment counterfactual
  • service and failure perimeter, availability and loss definition, horizon and currency, intervention eligibility, effect evidence, dependencies/interactions, scenario law, common modes, budget, capacity, downtime and CVaR targets, tail level, solver boundary, and accountable approval

Calibration workflow

  1. 1 Define the management decision, target outcome, aggregate unit, privacy boundary, cadence, and prediction/intervention horizon for this organization.
  2. 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. 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. 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. 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. 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 18 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": "construct a dependency and exclusionfeasible pareto" }
  → finds "optimize_reliability_investment_frontier"

gitrevio_capability_describe
  { "capability_id": "optimize_reliability_investment_frontier" }
  → returns the input schema and agent guidance shown on this page

gitrevio_capability_run
  { "capability_id": "optimize_reliability_investment_frontier", "arguments": { ... } }
  → returns the result shown above

Works in Claude Desktop, Claude Code, Cursor, Cline, Continue.dev, Goose and Aider. See the MCP server.

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