Greige Fabric Warehouse Aging & Yellowing Predictor

The formula

This is the expression the tool evaluates. Every term is named underneath, with the unit it must be supplied in.

How the result is derived

Step by step, from the values you type to the figure on screen.

1. The 13 inputs are read from the form on every keystroke: Months in Storage, Storage Temperature, Relative Humidity, Reference Temperature, Reference Humidity, Residual Size Content, Reference Size Content, Rate Increase per % Size, Base Yellowing Rate, Rate Factor per 10 °C, Rate Factor per 10% RH, Initial b* Value and Acceptance Limit.
2. Each value is checked against the accepted range in the input table below. A value outside its range stops the calculation rather than producing a misleading figure — the results blank out and a message appears.
3. The validated values are substituted into the expression above, which resolves Current Yellowness together with every supporting figure in one pass — no value is carried over from a previous entry.
4. The supporting outputs — Yellowing Rate, Temperature Factor, Humidity Factor, Residual Size Factor, Months to Acceptance Limit and Months Past Limit — come from the same pass, so they always describe the same case as the headline figure.
5. Results are rounded for display only. The full-precision value is used throughout the chain, so reading a rounded intermediate figure back into the tool by hand can shift the last digit.

What each input means

Where to read each value on the floor, the unit it must be in, and the range the tool accepts.

What the tool returns

The headline figure and every supporting value it is built from.

Worked example

The tool loads with this case already solved — the Current Yellowness shown above is its answer. Change one value and the difference from this baseline is the sensitivity of the result to that variable.

How to use it

1. Work through the input groups in order — Storage Environment and Fabric & Sensitivity. The defaults are a realistic case, so you can change one value at a time and watch what moves.
2. There is no calculate button. Every figure recalculates as you type or drag, which is what makes this usable for a what-if sweep rather than a single answer.
3. Read Current Yellowness in the dark results panel — that is the headline figure, expressed in b*.
4. Check the supporting rows underneath (Yellowing Rate, Temperature Factor, Humidity Factor, Residual Size Factor, Months to Acceptance Limit and Months Past Limit) before acting on the headline — they are where an implausible input usually shows itself first.
5. Reset to defaults returns every field to the reference case, which is the quickest way to check whether a surprising result came from the tool or from an input you had changed earlier.

Where this is used

• Process planning — establishing Current Yellowness before a trial is booked, so machine time and material in Supply Chain, Inventory & Logistics are committed against a calculated figure rather than an estimate.
• Costing and quotation — Current Yellowness is an input to the cost sheet, and quoting from a worked number rather than a remembered one is what keeps a margin intact.
• Troubleshooting — when the floor result drifts from plan, entering the measured values (starting with Months in Storage) shows how much of the gap in Current Yellowness each variable explains.
• Teaching and study — the accepted ranges bracket normal Supply Chain, Inventory & Logistics practice, so moving one variable at a time shows the shape of the relationship rather than a single answer.

Assumptions and limits

• Linear yellowing is a simplification of an autocatalytic process — degradation products themselves accelerate further degradation, so real b* curves bend upward and this understates long storage. Much greige yellowing is also reversible in scouring and bleaching, so the b* figure predicts what arrives at the dyehouse rather than what survives it; the ones that matter are the fractions that do not clear, particularly on pale shades and optically brightened whites. Fabric stored against a damp wall or under a leaking roof ages on its own schedule and no environmental average describes it.
• Every input is bounded to the range normal practice occupies (Months in Storage 0 to 60 months, Storage Temperature 5 to 50 °C and Relative Humidity 20 to 95 %, and so on for the rest). Those bounds are guard rails against typing errors, not a claim that the formula fails one unit outside them.
• The calculation is deterministic: the same inputs always give the same result. It carries no allowance for machine condition, operator skill, ambient conditions or lot-to-lot material variation unless an input above explicitly represents one.
• Nothing is sent anywhere. The maths runs in your browser, so the numbers you type never leave the page.

Questions people ask