Mgmt 405 E-Learning Spring 2020: Six Sigma Quality ✓ Solved

Mgmt 405 E Learning Spring 2020mgmt 405 Six Sigma Quality Managem

Mgmt 405 E Learning Spring 2020mgmt 405 Six Sigma Quality Managem

Develop a Failure Mode and Effect Analysis (FMEA) to define potential process or product risks. Use Microsoft Excel to construct a complete FMEA tool by:

  1. Identifying two possible failure modes for service/shopping experience in Ikea or Safat Home.
  2. Calculating the corresponding Risk Priority Number (RPN).
  3. Recommending action plans for eliminating the failure modes and improving quality.

Identify and explain five error-proofing examples implemented in a manufacturing facility.

Given data for a bottle-filling process with three main stages, each with possible failures: the first stage with 3 failures producing 27 defects in 10 bottles; the second with 4 failures producing 57 defects in 15 bottles; and the third with 5 failures producing 64 defects in 20 bottles, determine:

  1. DPMO (Defects Per Million Opportunities)
  2. SQL (Sample Quality Level)
  3. PPM (Parts Per Million)

Assuming fixes are applied: reducing defects in the first stage by fixing faults in 5 bottles, second stage by fixing faults in 10 bottles, and third stage by fixing faults in 10 bottles, determine and explain:

  1. FTY (First Time Yield) for each stage
  2. FPY (First Pass Yield) for each stage
  3. RTY (Rolled Throughput Yield) using FTY

Sample Paper For Above instruction

Introduction

Six Sigma methodology emphasizes the reduction of defects and variability to improve process quality. In applying Six Sigma tools such as Failure Mode and Effect Analysis (FMEA), error-proofing techniques, and process capability analysis, organizations like Ikea or Safat Home can significantly enhance customer satisfaction and operational efficiency.

Failure Mode and Effect Analysis (FMEA) for Ikea or Safat Home

Identifying Failure Modes

In the context of the shopping experience at Ikea or Safat Home, two potential failure modes are identified:

  1. Delayed product availability due to inventory mismanagement.
  2. Long checkout lines resulting from inefficient cashier process flows.

Calculating Risk Priority Number (RPN)

The RPN is calculated as:

RPN = Severity x Occurrence x Detection

Assigning estimated scores based on severity (impact on customer), occurrence (likelihood), and detection difficulty:

Failure Mode Severity (1-10) Occurrence (1-10) Detection (1-10) RPN
Inventory mismanagement 8 6 4 192
Inefficient checkout 7 7 5 245

Action Plans to Eliminate Failures

To address inventory mismanagement, implementing real-time inventory tracking systems, staff training, and periodic audits can significantly reduce the likelihood of stockouts or overstocking. For long checkout times, deploying additional cashiers during peak hours, optimizing payment processing systems, and training staff for efficiency are recommended. These actions aim to reduce the severity and occurrence, thus lowering the RPN and enhancing customer experience.

Error-Proofing in Manufacturing

Error-proofing, or poka-yoke, techniques prevent errors before they occur. Examples include:

  1. Color-coding parts to ensure correct assembly order.
  2. Using jigs and fixtures to prevent incorrect placements.
  3. Implementing automatic shut-off mechanisms when parameters are out of range.
  4. Designing parts that only fit in one orientation (keyed components).
  5. Visual indicators or signals to prompt operator actions or corrections.

Process Capability and Defect Analysis

Data Summary

Number of bottles: 100

Defects and failures:

  • Stage 1: 27 defects in 10 bottles; defects found in 10 bottles.
  • Stage 2: 57 defects in 15 bottles; defects found in 15 bottles.
  • Stage 3: 64 defects in 20 bottles; defects found in 20 bottles.

DPMO Calculation

DPMO (Defects Per Million Opportunities) is calculated as:

DPMO = (Number of Defects / (Number of Units x Opportunities per Unit)) x 1,000,000

Assuming each stage has the same number of opportunities per bottle (e.g., 1 failure opportunity per stage), total opportunities per bottle is 3.

For stage 1:

DPMO = (27 / (10 x 3)) x 1,000,000 ≈ (27 / 30) x 1,000,000 ≈ 900,000

Similarly, for the entire process, an aggregate DPMO can be estimated considering total defects and total opportunities.

SQL Calculation

SQL (Sample Quality Level) is formulated as:

SQL = 1 - (Number of Defective Units / Total Units)

For stage 1:

SQL = 1 - (10 / 10) = 0 (100% defect rate, indicating process issues)

Similarly, the overall SQL improves after defect fixes.

PPM Calculation

Parts Per Million (PPM):

PPM = (Number of Defects / Total Units) x 1,000,000

For stage 1:

PPM = (27 / 10) x 1,000,000 = 2,700,000 (assuming multiple defects per unit)

This indicates the severity of defects in the process, and improvements in defect reduction will lower PPM values.

Process Improvements Using Fixes

By fixing defects in specific bottles at each stage, FTY, FPY, and RTY are computed as follows:

First Time Yield (FTY)

FTY for each stage is calculated as:

FTY = (Number of units passing without defects) / (Total units processed)

For example, in the first stage:

- Units with defects fixed: 5 bottles.

- Total units: 10 bottles.

- Units passing without defects: 5.

- FTY = 5 / 10 = 0.5 or 50%

Similarly, calculations for stages two and three follow accordingly.

First Pass Yield (FPY)

Assuming the same as FTY in a single pass process, FPY values are similar, indicating the proportion of units passing the process on the first attempt.

Rolled Throughput Yield (RTY)

RTY is the product of FTYs across all stages:

RTY = FTY Stage 1 x FTY Stage 2 x FTY Stage 3

This provides an overall process capability measure after defect fixes, reflecting the cumulative process efficiency.

Conclusion

Applying Six Sigma tools like FMEA, error-proofing techniques, and process capability analysis allows organizations to identify critical failure modes, implement effective corrective actions, and optimize manufacturing processes. Continuous monitoring and improvement can significantly reduce defect rates, enhance product quality, and improve customer satisfaction.

References

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