1Your company is interested in choosing one of four possible devices (A. B. C, o

Question

1Your company is interested in choosing one of four possible devices (A. B. C, or D) to perform a paticular task. You would like the device to perform the task in 0.33 seconds. Data for the devices are provided in the table below. Calculate the G index for each device. Explain what additional information you would like to obtain before choosing which device to purchase. Which one(s) are viable choices with just the information below? Unit Cost $1,000 150 175 250 145 Std. Deviation/ second 0.061 O.0S5 0.054 0.059 Device

Explanation / Answer

Process capability index, cp can be defined as

Cp = USL -LSL / 6 xstandard deviation

Value of cp depends on the allowable tolerance limits above and below the mean value.

We assume that the allowable limit is +-10% of mean

Thus, the USL = 0.33+0.1x0.33 =0.363

and LSL = 0.33 -0.1x0.33 = 0.297

Thus, the USL-LSL value will be 0.363-0.297 =0.066 for all devices.

Cp for device I

= 0.066 / 6x0.061 = 0.18

Cp for device 2 = 0.066 / 6x0.055 =0.2

Cp for device 3 = 0.066 /6x0.054 =0.203

Cp for device 4 = 0.066 / 6x0.059 = 0.1864

The additional information needed is the allowable tolerance limit for the product specifications. This will help to decide on the exact value of Cp and the appropriate choice of device to meet the quality goals. As we see that all devices have nearly same value of cp, the device B seems to be the most value for money device, that offers better quality at lesser premium ( Its Cp value is slightly less than that of C which costs $75 more)

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