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Six Sigma Quality at Flyrock Tires Susan Douglas, vice president of quality at F

ID: 1732805 • Letter: S

Question

Six Sigma Quality at Flyrock Tires

Susan Douglas, vice president of quality at Flyrock Tires, was wondering how to explain the

value of Six Sigma quality to the people within her organization. Flyrock, a major manufacturer

of tires in the United States, had five manufacturing facilities where tires were made and another

20 facilities for various components and material used in tires. Quality had always been

emphasized at Flyrock, but lately quality was a bigger issue because of recent fatal accidents

involving tires made by other manufacturers due to tread separation. These tire problems had

received significant coverage in the popular press and all manufacturers were under pressure to

show they were working to ensure that problems did not arise in the future. Several lawsuits had

been filed on behalf of the families of victims in these accidents and much of the discussion i

these lawsuits was likely to involve the way these tires were built. Douglas wanted to push

through a Six Sigma program and significantly improve the level of quality at Flyrock, and she

needed to build a solid case for it first.

Manufacturing Tires

While tire technology had made many advances over the decades from old-fashioned,

inexpensive, bias-ply tires to today’s steel-belted radials, the basic process of making tires had

essentially remained unchanged and was shared by all manufacturers.

Rubber, the major component of tires, arrived in bales at the tire factory where it was mixed

with chemicals and other ingredients. Each manufacturer had its own recipe for this process.

Large blades in a machine broke down the raw rubber and mixed the chemicals, much like a

kitchen mixer would. The rubber compound was then rolled into a milling machine where it was

forced back and forth through a series of rollers to more thoroughly mix the chemicals added

earlier.

Tread referred to the part of the tire that touched the road, while sidewall referred to the sides

of the tire. Tread and sidewall rubber went through the same process but with a different chemical

mix. After further processing, each type of rubber was extruded into a single continuous strip.

These strips were put onto a conveyor system with the strips of tread rubber in the middle and the

sidewall rubber on either side.

The long strips of tread and sidewall rubber were then sent through a coating apparatus that

applied adhesive. After the strips had cooled, they were shrunk and cut to the exact size needed.

While the rubber was cooling, strips of fabric, usually polyester, were coated with another rubber

blend. These strips were used to make the body of the tire after the layering process began.

Another key component was the steel hoop for steel-belted radial tires. The hoop formed the

backbone, or the metal skeleton, of the tire. The steel strands were aligned into a ribbon coated

with rubber for adhesion and then formed into loops that were wrapped together.

With the ingredients prepared, the tire was assembled on a building drum. Radial tires started

with a layer of synthetic gum rubber, called an inner liner, which sealed in air. This is why the tire

did not need a tube. Next came the rubber-coated ply fabric, followed by two more layers to help

further stiffen the tire. The material was then put into a tire-building machine, which shaped the

tire to its near-final dimensions and made sure all the components were in proper position for the

final molding. The tire was then inspected, whereupon it was ready for curing.

During the curing process, the tire received its final shape and tread pattern. In a process

called vulcanizing, the tire was put into a hot mold that engraved the tread pattern and sidewall

markers. The tire was heated, or cured, at more than 300 degrees Fahrenheit for 12 to 25 minutes,

depending on its size. When the curing was done, it was sent to a final finish area for another

inspection. If there were any blemishes or outside flaws, the tire was rejected.

Adhesion flaws and other internal problems were not visible, so manufacturers randomly

pulled tires from the production line and cut them apart to look for defects.

Quality Issues at Flyrock

Given the large number of steps in building a tire, errors tended to accumulate. As a result, even

if each step produced only 1 percent defects, at the end of 20 steps only 81.2 percent of the product would be of good quality. Since each factory produced about 10,000 tires per hour, such a process would result in about 1,880 defective tires per hour. Thus, it was very important that each stage had a high level of quality.

Another quality issue was related to the settings on various machines. Over time, these settings

tended to vary because of wear and tear on the machines. In such a situation, a machine would

produce defective product even if the machine had the correct setting. To detect such situations,

Douglas implemented a statistical process control (SPC) program. At the extruder, the rubber for the

AX-527 tires had thickness specifications of 400 ± 10 thousandth of an inch (thou). Douglas and her

staff had analyzed many samples of output from the extruder and determined that if the extruder

settings were accurate, the output produced by the extruder had a thickness that was normally

distributed with a mean of 400 thou and a standard deviation of 4 thou.

Conditions:

When the extruder setting is accurate, the specification limits are:

LSL=390

USL=410

Mean=400

STD Deviation=4

The proportion of rubber extruded will be .9876

When Douglas is asked to take a sample of 10 sheets of rubber each hour from the extruder and measure the thickness of each sheet, and uses 3 sigma control limits, the control limits used will be:

UCL=.0124+3*.035=.117

LCL=-0.093

Questions

The questions are designed to help Susan Douglas understand the current capability of the

extrusion process and quantify the benefit that may be achieved if the extruder could be

transformed to a Six Sigma process.

3. If a bearing is worn out, the extruder produces a mean thickness of 403 thou when the setting

is 400 thou. Under this condition, what proportion of defective sheets will the extruder

produce? Assuming the control limits in question 2, what is the probability that a sample

taken from the extruder with the worn bearings will be out of control? On average, how many

hours are likely to go by before the worn bearing is detected?

4. Now consider the case where extrusion is a Six Sigma process. In this case, the extruder

output should have a standard deviation of 1.667 thou. What proportion of the rubber

extruded will be within specifications in this case?

5. Assuming that operators will continue to take samples of 10 sheets each hour to check if the

process is in control, what control limits should Douglas set for the case when extrusion is a

Six Sigma process?

6. Return to the case of the worn bearing in question 3 where extrusion produces a mean

thickness of 403 thou when the setting is 400 thou. Under this condition, what proportion of

defective sheets will the extruder produce (for the Six Sigma process)? Assuming the control

limits in question 5, what is the probability that a sample taken from the extruder with the

worn bearings will be out of control? On average, how many hours are likely to go by before

the worn bearing is detected?

Explanation / Answer

Answer:

Question 1

= 400 - 3* 4/SQRT(10) - 403 / 4/SQRT (10) = - 5.37

likewise upper limit = 0.6282

Hnce Z value = 0.7324

Hence    Probability of example leaving out of control = 1-0.7324 = 26.76 %

Now the standard runtime before this is ddetected = 1/0.2676 = 3.73 hours

Question 2

Upper manage limit = Mean + 3 Sigma/ Sqrt (10) = 400 + 3*4/Sqrt(10) = 403.79

inferior control limit = Mean - 3 sigma = 400- 3*4/Sqrt(10) = 396.20

Qeustion 3

We will use same procedure as in question 1

assuming so as to standard deviation of procedure remain same

We will calcualte Z = USL - Mean / Standard devitaion = 410-403 /4=7/4 = 1.75

We will seem for the value in Z bench we get Z value as 0.9599 hence

% defectives =( 1-0.9599)* 100 = 4.01

Now to calculate the likelihood that the value will fall beyound control limits

we calclulate as below

= Mean - 3 Sigma/sqtr(10) -( Mean+ Sigma ) /Sigma/Sqrt(10)

= 400 - 3* 4/SQRT(10) - 403 / 4/SQRT (10) = - 5.37
likewise upper limit = 0.6282
Hnce Z value = 0.7324
Hence Probability of example leaving out of control = 1-0.7324 = 26.76 %
Now the standard runtime before this is ddetected = 1/0.2676 = 3.73 hours

Question 4
Upper requirement Limit in this container will be 400+ 3 * 1.667/Sqrt(10) = 400+ 1.581 = 401.581
Z = (401.581 - 400) /4 = 1.581/4 =0.3953 look for Z score in this = 0.6517
sample falling exterior control limit = 1-0.6517=0.34 that is 34