In: Statistics and Probability
what is quality loss . explain both type of quality loss function with figure. answer only if you know peerfect i am uploading it second time so be specific otherwise i will give dislike
Answer:
The Quality Loss Function (QLF)
The quality loss function is based on the work of an electrical engineer, Genichi Taguchi. This view disagrees with the traditional (goalpost) view. The quality loss function recognizes that products falling between specific limits are not all equal. The four following statements summarize Taguchi’s philosophy.
1. We cannot reduce costs without affecting quality.
2. We can improve quality without increasing costs.
3. We can reduce costs by improving quality.
4. We can reduce costs by reducing variation. When we do so, performance and quality will automatically improve.
In Taguchi’s view, quality is not defined by specific limits, but rather on whether or not it creates a financial loss to society. An example given is a defective automobile exhaust system creating air pollution.
There are many types of quality loss functions. However, in all types, the loss is determined by evaluating variation from a specific target. Taguchi’s philosophy includes three general ways to evaluate the relationship between quality and variability.
1) Nominal is a better approach:-
In this approach, the closer to the target value, the better. It does not matter whether the deviation is above or below the target value. Under this approach the deviation is quadratic. The following exhibit portrays the nominal is a better approach.
2) Smaller is a better approach:-
The smaller is a better approach is when a company desires smaller values. As the value gets larger, the loss incurred grows. The following exhibit portrays the smaller is a better approach.
3) Larger is a better approach:-
Larger is better occurs when a company desires higher values of a characteristic. Two examples given are employee participation and customer acceptance rate. Under this approach, the larger the characteristic, the smaller the quality loss function. The following exhibit portrays the larger is a better approach.