The Six Sigma Approach (Published originally in 2000 on web journal of Symphony Technologies, reproduced in Quality World in Mar 2006)

Close your eyes and try to visualize that: • Every train arrives on time and leaves on time! • In a company employing 100 employees, no employee is late throughout the year! • All the passengers get their luggage at the destination. Are we crazy? No! These are examples to illustrate the meaning of six sigma quality level. Six sigma is one idea that is adopted by organizations to become world class. It is aimed at reducing the defect levels in products and processes to a level of less than 3.4 defects per million opportunities.

Evolution of Six Sigma The six sigma approach was first introduced and developed at Motorola in early 1990s. Later in the mid-nineties, it was adopted by General Electric and Allied Signal. According to Jack Welch CEO of GE “Six sigma is the most challenging and potentially rewarding strategy GE have ever undertaken” GE listed tremendous benefits of the approach in their annual report in 1997. These benefits included: • 10 fold increase in the life of CT scanner x-ray tubes at Medical Devices • Improved yield resulting in increased capacity without additional investments at Superabrasives- their industrial diamond business • 62% reduction in turnaround time at the repair shops of the railcar leasing business • Addition of 300 million pounds of new capacity . This was equivalent to adding new plant! In GE, Significant portions of the bonuses were linked to the introduction of six sigma. Six sigma was originally centered around manufacturing improvements. The reason for this was knowledge of the statistical tools in the manufacturing functions and the ease with which we can quantify the benefits. However these improvements were not readily seen by the customers. The approach was therefore broadened to all business operations. The success of these companies with the six sigma approach caught the attention of Wall Street making it a popular strategy that is being adopted by many organizations worldwide. Indian organizations such as Wipro, Hero Motors, Godrej-GE have also adopted six sigma strategy to improve their businesses (reference- Business Today, Sept 22, 1999).

What is six sigma? Six sigma is a highly disciplined approach used to reduce the process variations to the extent that the level of defects are drastically reduced to less than 3.4 per million process, product or service opportunities (DPMO). The approach relies heavily on advanced statistical tools. While these tools have been known earlier, these were primarily limited to the statisticians and quality professionals. Sigma (9) is Greek letter that is used to describe variability. In statistical quality control, this means “standard deviation”. Most of us may be familiar with the normal distribution and its properties. We are aware of the properties of normal distribution : • • •

99.73% of the area lies within mean µ ± 3σ 95.46% of the area lies within mean µ ± 2σ 68.26% of the area lies within mean µ ± σ.

When we proudly mention that our process capability Cp is 1.33, our process spread is ± 4 σ. This would mean and estimated defect rate of 0.0063% or 63 defective parts per million (PPM). Moreover, when we deploy processes in production, the mean of the process can shift to the extent of approximately 1.5σ. In such case the defect rate will increase to a much higher value. This would be about 6200 PPM! If the process capability is improved to a Cp of 2.0 the PPM level will come down to 0.002. With a shift of 1.5σ, the Cpk will drop down to 1.5 and the number of parts defective will be about 3.4 PPM. A Cp of 2.0 corresponds to the process spread of ± 6 σ. This is shown in the figures below. 1.5 σ shift

LTL

UTL

LTL

UTL

±3 σ

±3σ

±6σ

±6σ Cp=2, Cpk=1.5, PPM=3.4

Cp=2, Cpk=2, PPM