Wright Law Learning Curve Cost Doubling Lookup

Estimate unit cost from production doublings and a caller-supplied constant percent learning rate.

Description

Learning curves express a hypothetical unit-cost reduction per doubling of cumulative production.

Learning curves express a hypothetical unit-cost reduction per doubling of cumulative production. The chosen rate is an assumption, not an observed future trend.1

The returned values include Estimated cost reduction percent, Estimated end unit cost, Production doublings. The How section below explains the calculation, input rules and interpretation.

When to use Wright Law Learning Curve Cost Doubling Lookup

Use Wright Law Learning Curve Cost Doubling Lookup when you need to evaluate the supplied records under the calculation and evidence rules below. No rate fitting, supply constraint or guarantee of learning is included.

Define the question, evidence and scenario assumptions first. Supply the chosen score scales, time horizons or reference selection explicitly. Interpret generated text as a discussion template and screen labels as the stated rules.

How to use Wright Law Learning Curve Cost Doubling Lookup and understand its results

  1. Define the question, evidence and scenario assumptions first. Supply the chosen score scales, time horizons or reference selection explicitly. Interpret generated text as a discussion template and screen labels as the stated rules.
  2. Enter endVolume, learningRatePercent, startUnitCost, startVolume using the field table and calculation rules, then run the tool.
  3. Read costReductionPercent, estimatedEndUnitCost, productionDoublings. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
endVolumeEnd production volumenumber; minimum: 0Required
learningRatePercentLearning rate percent (%)number; minimum: 0; maximum: 100Required
startUnitCostStart unit costnumber; minimum: 0Required
startVolumeStart production volumenumber; minimum: 0Required

Require positive finite costs and volumes and rate≥0 but strictly below 100%. Return finite doublings, end cost and 100×(1−endCost/startCost) reduction. Declining volume gives negative doublings and can increase estimated cost.

doublings=log2(end/start); endCost=startCost×(1−rate/100)^doublings

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
costReductionPercentEstimated cost reduction percent (%)number
estimatedEndUnitCostEstimated end unit costnumber; minimum: 0
productionDoublingsProduction doublingsnumber
json
{
  "input": {
    "endVolume": 800,
    "learningRatePercent": 20,
    "startUnitCost": 100,
    "startVolume": 100
  },
  "output": {
    "costReductionPercent": 48.79999999999999,
    "estimatedEndUnitCost": 51.20000000000001,
    "productionDoublings": 3
  }
}

Limitations and assumptions

No rate fitting, supply constraint or guarantee of learning is included.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing fields without a declared default, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Moore Law Transistor Density Endgame Note Lookup: Feature-size bands offer a rough process-comparison context. A node label alone cannot determine density, cost, power or performance. For a complementary task, use Kurzweil Law Accelerating Returns Lookup: Accelerating returns can be screened by comparing early and late annualized log growth in supplied milestones. Growth and acceleration are distinct.

References

  1. Wright Law Learning Curve Cost Doubling Lookup — tool.io

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