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Station Workload Imbalance Gap Tool

Calculate station workload imbalance gap from explicit caller-supplied inputs.

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Description

Divide pairwise for utilizations and return their maximum, minimum, and range as imbalance.

Production capacity terms compare available time, demand, cycle time, and buffer use. A scalar average or count budget can hide task constraints and process variability.

Divide pairwise for utilizations and return their maximum, minimum, and range as imbalance.

When to use this tool

Use Station Workload Imbalance Gap when you need a transparent capacity, takt, or workload component.

How to use the tool and how it works

  1. Enter workloads, availableTimes. Keep parallel arrays aligned. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read utilizations, maximumUtilization, minimumUtilization, imbalance. Use the output convention below.

Require aligned nonempty workloads and positive availableTimes. Divide pairwise for utilizations and return their maximum, minimum, and range as imbalance.1

Input fieldMeaning and unitsAccepted input
workloadsWorkloadsRequired. Array of finite number; minimum 0; maximum items 256.
availableTimesAvailable TimesRequired. Array of finite number; maximum items 256.
Output fieldInterpretationReturned shape
utilizationsUtilizationsRequired. Array of finite number; maximum items 256.
maximumUtilizationMaximum UtilizationRequired. Finite number.
minimumUtilizationMinimum UtilizationRequired. Finite number.
imbalanceImbalanceRequired. Finite number.
json
{
  "input": {
    "workloads": [
      5,
      8
    ],
    "availableTimes": [
      10,
      10
    ]
  },
  "output": {
    "utilizations": [
      0.5,
      0.8
    ],
    "maximumUtilization": 0.8,
    "minimumUtilization": 0.5,
    "imbalance": 0.30000000000000004
  }
}

Limitations and assumptions

  • Use matching time units; utilization can exceed one and equal ratios need not mean equal absolute station loads.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Validate the complete process, resources, and variability before converting a local budget into a production plan.

References

  1. Calculation and input contract: industrial-engineering/station-workload-imbalance-gap — tool.io

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