Rebar Cut Optimization Waste Calculator

EXACT subset-DP minimum equal stock bars for1–16 integer-mm rebar shear cuts, zero kerf explicitly, residual unallocated stock not necessarily scrap. Caller independently establishes units, regime, calibration and applicability; this does not establish design-code compliance, authenticity, operational safety, treatment efficacy or a validated forecast.

Description

Rebar cutting combines requested pieces into equal-length stock bars.

Rebar cutting combines requested pieces into equal-length stock bars.1

An exact small-list solution can minimize bar count when the adopted shearing model has no kerf loss. Use Rebar Cut Optimization Waste Calculator to evaluate the supplied inputs under the model explained below.

When to use Rebar Cut Optimization Waste Calculator

Use Rebar Cut Optimization Waste Calculator to evaluate the supplied inputs under the model explained below. Establish the units, measurement scope and model assumptions before entering values.

How to use Rebar Cut Optimization Waste Calculator and understand its results

  1. Establish the units, measurement scope and model assumptions before entering values.
  2. Enter Required rebar cut lengths mm, Common stock bar length mm using the field table and validation rules below, then run the tool.
  3. Read Minimum bars, Cut bar indices, Unallocated stock mm; interpret the units, signs, ordering and unknown-value placeholders described below.
  4. Correct reported input errors and rerun. Apply successful results according to their specific meanings and check the assumptions before using them in a decision.
Input fieldMeaningValue typeRequirement
requiredRebarCutLengthsMmRequired rebar cut lengths mmarray of numberRequired; constraints below
commonStockBarLengthMmCommon stock bar length mmnumberRequired; constraints below

Enter 1 to 16 positive integer required cuts in mm and one positive integer stock length no greater than 1000000000 mm. No cut may exceed stock length. A subset dynamic program tracks the fewest used bars and the least-used final bar for each subset, then reconstructs assignments. Return the exact minimum bar count for this no-kerf equal-stock model, zero-based bar indices aligned with original cuts and total unused stock length. Different stock sizes and cutting allowances are outside the model.

unusedStockMm = minimumBars×commonStockMm−ΣrequiredCutsMm; subset DP minimizes bar count

Use the field order, units and branch conditions described above.

Output fieldMeaningValue type
minimumBarsMinimum barsnumber
cutBarIndicesCut bar indicesarray of number
unallocatedStockMmUnallocated stock mmnumber
json
{
  "input": {
    "requiredRebarCutLengthsMm": [
      6,
      4,
      6,
      4
    ],
    "commonStockBarLengthMm": 10
  },
  "output": {
    "minimumBars": 2,
    "cutBarIndices": [
      1,
      1,
      0,
      0
    ],
    "unallocatedStockMm": 0
  }
}

Limitations and assumptions

An exact small-list solution can minimize bar count when the adopted shearing model has no kerf loss. Apply the exact scope and assumptions explained above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse arrays fail validation. Domain-specific bounds, alignments and supported tokens are explained above; extremely large inputs or outputs can also be rejected. Input errors differ from successful false results, empty match lists and unknown-evidence placeholders.

Alternative or Complementary methods

Use Lumber Cut List Optimization for a related task: A lumber cutting layout must respect available stock and material or grain compatibility.

Use Cabinet Carcass Cut List Generator for a related task: A cabinet carcass cut list depends on a specific panel-joint and back arrangement.

References

  1. Rebar Cut Optimization Waste Calculator — tool.io

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