Subjects quality control

Pareto Warranty

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Pareto Warranty


1. **State the problem:** We have warranty claim data for different unit/component parts of a product. We want to draw a Pareto curve and understand how it can help tackle warranty claim problems. 2. **List the data:** - Drum: 110 claims - Casing: 1282 claims - Work-top: 142 claims - Pump: 246 claims - Electric motor: 798 claims 3. **Sort the data in descending order of claims:** - Casing: 1282 - Electric motor: 798 - Pump: 246 - Work-top: 142 - Drum: 110 4. **Calculate total claims:** $$\text{Total} = 1282 + 798 + 246 + 142 + 110 = 2578$$ 5. **Calculate cumulative claims and cumulative percentage:** | Component | Claims | Cumulative Claims | Cumulative % | |----------------|--------|-------------------|--------------| | Casing | 1282 | 1282 | $\frac{1282}{2578} \times 100 \approx 49.7\%$ | | Electric motor | 798 | 1282 + 798 = 2080 | $\frac{2080}{2578} \times 100 \approx 80.7\%$ | | Pump | 246 | 2080 + 246 = 2326 | $\frac{2326}{2578} \times 100 \approx 90.2\%$ | | Work-top | 142 | 2326 + 142 = 2468 | $\frac{2468}{2578} \times 100 \approx 95.7\%$ | | Drum | 110 | 2468 + 110 = 2578 | $\frac{2578}{2578} \times 100 = 100\%$ | 6. **Draw the Pareto curve:** - X-axis: Components sorted by claims - Left Y-axis: Number of claims (bar chart) - Right Y-axis: Cumulative percentage (line graph) 7. **Interpretation:** - The Pareto principle suggests that roughly 80% of problems come from 20% of causes. - Here, casing and electric motor together account for about 80.7% of claims. - Focusing on improving these two components will most effectively reduce warranty claims. **Final answer:** The Pareto curve shows casing and electric motor as the major contributors to warranty claims (about 80.7%). Prioritizing improvements on these parts will most effectively reduce claims and improve product reliability.