Answer:
[tex]L(y)=12\times 10^{5}(y-0.325)^2[/tex]
Explanation:
We know that Taguchi loss function given as
[tex]L(y)=k(y-m)^2[/tex]
Where L is the loss when quality will deviate from target(m) ,y is the performance characteristics and k is the quality loss coefficient.
Given that 0.325±0.010 ,Here over target is m=0.325 .
When y=0.335 then L=$120,or when y=0.315 then L=$120.
Now to find value of k we will use above condition
[tex]L(y)=k(y-m)^2[/tex]
[tex]120=k(0.335-0.325)^2[/tex]
[tex]k=12\times 10^{5}[/tex]
So Taguchi loss function given as
[tex]L(y)=12\times 10^{5}(y-0.325)^2[/tex]
Answer:
Explanation:
Manufacturing specification
0.325 ± 0.010 I'm
The quality characteristic is 0.325
Functional tolerance is $120
The lost function is given
λ = C (x—t)²
Where, C is a constant
t is quality characteristic
And x is target value
Constant’ is the coefficient of the Taguchi Loss, or the ratio of functional tolerance and customer loss.
Then, C= tolerance / loss²
Measurement loss is
Loss = 0.335-0.315
Loss =0.01cm
Therefore,
C = 120/0.01²
C = 1,200,000
λ = C (x —t)²
λ = 1,200,00 (x—0.325)²
