11. An electronic component at Ampcomp has a specification of 100 ± 0.4 ohms. Sc

Question

11. An electronic component at Ampcomp has a specification of 100 ± 0.4 ohms. Scrapping the component results in a $81 loss.

            a. What is the value of k in the Taguchi loss function?

b. If the process at Ampcomp averages 99.75 ohms with a standard deviation of 0.2 ohm, what is the expected loss per unit?

13. A computer chip designed by the MicroKeeb Co. has a specification for the distance between two adjacent pins of 2.000 ± 0.002 mm. The loss due to a defective chip is $4. A sample of 25 chips was drawn from the production process and the results, in millimeters, can be found in the worksheet tab Prob. 7-13 in the Excel file C07Data file.

a. Compute the value of k in the Taguchi loss function.

b. What is the expected loss from this process based on the sample data?

Explanation / Answer

11.

Tolerance, T = 0.4 ohms

Loss per unit, L = $ 81

a) Tagushi locc function: L = kT2

Value of k = L/T2 = 81/0.42 = 506

b) MSD = 0.22 + (100-99.75)2 = 0.1025

Expected loss per unit = k*MSD = 506*0.1025 = $ 51.86

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