Allocate capacity by marginal value
Allocate indivisible aggregate capacity across initiative-specific diminishing marginal-value scenario curves, activation thresholds, hard minimum commitments, unit cost, and portfolio CVaR with discrete next-unit value and explicit solver certainty.
What it's for
Answers where the next engineering-capacity unit creates the most portfolio value after setup cost, diminishing return, existing commitments, and downside are priced together.
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 |
|---|---|---|---|
| capacity_cost_per_unit | number ≥ 0 | Your calibration | Optional |
| initiatives | array of objects (5 fields) ≥ 1 item | Evidence | Yes |
| max_detail_rows | integer ≥ 1, ≤ 500 | Numerical control | Optional |
| maximum_exact_states | integer ≥ 2, ≤ 16777216 | Numerical control | Optional |
| risk_aversion | number ≥ 0 | Your calibration | Optional |
| scenario_probabilities | array of number ≥ 2 items | Evidence | Yes |
| tail_probability | number ≥ 0.001, ≤ 0.5 | Your calibration | Optional |
| total_capacity_units | integer ≥ 0, ≤ 100000 | Your calibration | Yes |
Each initiatives
record
| Field | Type | Required |
|---|---|---|
| fixed_activation_cost | number (≥ 0) | Optional |
| id | string (non-empty) | Yes |
| marginal_value_scenarios | array of array (≥ 1 item) | Yes |
| minimum_capacity_units | integer (≥ 0, ≤ 200) | Optional |
| required | boolean | Optional |
{
"capacity_cost_per_unit": 50000,
"initiatives": [
{
"fixed_activation_cost": 50000,
"id": "platform",
"marginal_value_scenarios": [
[
150000,
220000,
300000
],
[
80000,
130000,
180000
],
[
40000,
70000,
100000
]
],
"minimum_capacity_units": 1,
"required": true
},
{
"fixed_activation_cost": 100000,
"id": "growth",
"marginal_value_scenarios": [
[
250000,
400000,
700000
],
[
180000,
300000,
500000
],
[
90000,
150000,
250000 Truncated for display — the full payload is 58 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": [
"Each row is an aggregate initiative with indivisible, fungible capacity increments; the expected gross marginal curve is nonincreasing, while aligned scenarios preserve portfolio dependence and may cross.",
"Gross marginal value excludes the separately submitted fully loaded capacity-unit cost; fixed activation cost is charged once whenever an initiative receives positive capacity.",
"Minimums are activation thresholds unless required is true, in which case they are hard commitments; omitted skills, sequencing, dependencies, switching costs, and delivery feasibility can change the allocation.",
"Exact mode certifies only the submitted discrete model; heuristic mode has no global optimality certificate, and capacity units must never be translated automatically into named-person assignments or employment actions."
],
"configuration": {
"capacity_cost_per_unit": 50000,
"initiative_count": 2,
"maximum_exact_states": 262144,
"represented_state_count": 9,
"risk_aversion": 0.5,
"scenario_count": 3,
"solver_mode": "exact_enumeration",
"state_count_is_capped": false,
"tail_probability": 0.1
},
"decision": "marginal_value_capacity_allocation_optimized_exact",
"initiative_allocation": [
{
"activated": true,
"allocated_capacity_units": 3,
"expected_gross_value": 964000,
"expected_net_value": 714000,
"fixed_activation_cost": 100000,
"initiative_id": "growth",
"maximum_capacity_units": 3,
"minimum_capacity_units": 2,
"next_increment_expected_net_value": null,
"required": false
},
{
"activated": true,
"allocated_capacity_units": 1,
"expected_gross_value": 230000,
"expected_net_value": 130000,
"fixed_activation_cost": 50000,
"initiative_id": "platform",
"maximum_capacity_units": 3,
"minimum_capacity_units": 1,
"next_increment_expected_net_value": 85000,
"required": true
} Truncated for display — the full payload is 59 lines.
How it works
Constrained optimization — Pick the best feasible option under real limits — budget, headcount, dependencies, capacity — rather than ranking a list and hoping it fits.
- 1 Freeze fungible capacity units, each initiative's aligned gross marginal-value path, activation threshold, required minimum, fixed activation cost, and fully loaded capacity-unit cost.
- 2 Evaluate whole-portfolio scenario value rather than summing standalone ROI, then choose integer allocations maximizing expected net value minus the governed CVaR-loss penalty within total capacity.
- 3 Re-optimize after one additional unit for a lumpy shadow value, return unused capacity and next increments, and treat an infeasible required minimum or heuristic fallback as an explicit planning exception.
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
- Objectives use commensurable locally governed value units, constraints reflect real feasibility, and uncertainty covers plausible adverse inputs.
- Expected gross marginal curves are nonincreasing, scenario columns are shared joint futures, capacity units are genuinely fungible, value/cost share one horizon and currency, and omitted sequencing or skill constraints are immaterial.
- The recommendation is optimal only for its stated objective, feasible set, evidence, and solver guarantee; it is not a universal management optimum.
- Capacity units represent aggregate planning increments, not people; the allocation cannot authorize individual staffing, performance, hiring, or termination decisions, and heuristic mode is not globally optimal.
Minimum evidence
- initiatives: at least 1 rows/items
- scenario_probabilities: at least 2 rows/items
- total_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
- aligned diminishing gross marginal-value scenario path for every initiative and increment
- capacity fungibility and horizon, initiative eligibility, minimum/maximum semantics, marginal value attribution, fixed and unit cost, joint scenarios/probabilities, risk aversion, tail, and exact-solver promotion
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 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": "allocate indivisible aggregate capacity across initiativespecific" }
→ finds "allocate_capacity_by_marginal_value"
gitrevio_capability_describe
{ "capability_id": "allocate_capacity_by_marginal_value" }
→ returns the input schema and agent guidance shown on this page
gitrevio_capability_run
{ "capability_id": "allocate_capacity_by_marginal_value", "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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