The Taguchi loss function is graphical depiction of loss developed by the Japanese business statistician Genichi Taguchi to describe a phenomenon affecting the value of products produced by a company. Praised by Dr. W. Edwards Deming (the business guru of the 1980s American quality movement),[1] it made clear the concept that quality does not suddenly plummet when, for instance, a machinist exceeds a rigid blueprint tolerance. Instead 'loss' in value progressively increases as variation increases from the intended condition. This was considered a breakthrough in describing quality, and helped fuel the continuous improvement movement.
The concept of Taguchi's quality loss function was in contrast with the American concept of quality, popularly known as goal post philosophy, the concept given by American quality guru Phil Crosby. Goal post philosophy emphasizes that if a product feature doesn't meet the designed specifications it is termed as a product of poor quality (rejected), irrespective of amount of deviation from the target value (mean value of tolerance zone). This concept has similarity with the concept of scoring a 'goal' in the game of football or hockey, because a goal is counted 'one' irrespective of the location of strike of the ball in the 'goal post', whether it is in the center or towards the corner. This means that if the product dimension goes out of the tolerance limit the quality of the product drops suddenly.
Through his concept of the quality loss function, Taguchi explained that from the customer's point of view this drop of quality is not sudden. The customer experiences a loss of quality the moment product specification deviates from the 'target value'. This 'loss' is depicted by a quality loss function and it follows a parabolic curve mathematically given by L = k(y–m)2, where m is the theoretical 'target value' or 'mean value' and y is the actual size of the product, k is a constant and L is the loss. This means that if the difference between 'actual size' and 'target value' i.e. (y–m) is large, loss would be more, irrespective of tolerance specifications. In Taguchi's view tolerance specifications are given by engineers and not by customers; what the customer experiences is 'loss'. This equation is true for a single product; if 'loss' is to be calculated for multiple products the loss function is given by L = k[S2 + ( – m)2], where S2 is the 'variance of product size' and is the average product size.
Overviewedit
The Taguchi loss function is important for a number of reasons—primarily, to help engineers better understand the importance of designing for variation.
^Deming, W. Edwards (1993). The New Economics: For Industry, Government, Education. MIT Press. ISBN0-911379-05-3.
January 01, 1970
taguchi, loss, function, graphical, depiction, loss, developed, japanese, business, statistician, genichi, taguchi, describe, phenomenon, affecting, value, products, produced, company, praised, edwards, deming, business, guru, 1980s, american, quality, movemen. The Taguchi loss function is graphical depiction of loss developed by the Japanese business statistician Genichi Taguchi to describe a phenomenon affecting the value of products produced by a company Praised by Dr W Edwards Deming the business guru of the 1980s American quality movement 1 it made clear the concept that quality does not suddenly plummet when for instance a machinist exceeds a rigid blueprint tolerance Instead loss in value progressively increases as variation increases from the intended condition This was considered a breakthrough in describing quality and helped fuel the continuous improvement movement The concept of Taguchi s quality loss function was in contrast with the American concept of quality popularly known as goal post philosophy the concept given by American quality guru Phil Crosby Goal post philosophy emphasizes that if a product feature doesn t meet the designed specifications it is termed as a product of poor quality rejected irrespective of amount of deviation from the target value mean value of tolerance zone This concept has similarity with the concept of scoring a goal in the game of football or hockey because a goal is counted one irrespective of the location of strike of the ball in the goal post whether it is in the center or towards the corner This means that if the product dimension goes out of the tolerance limit the quality of the product drops suddenly Through his concept of the quality loss function Taguchi explained that from the customer s point of view this drop of quality is not sudden The customer experiences a loss of quality the moment product specification deviates from the target value This loss is depicted by a quality loss function and it follows a parabolic curve mathematically given by L k y m 2 where m is the theoretical target value or mean value and y is the actual size of the product k is a constant and L is the loss This means that if the difference between actual size and target value i e y m is large loss would be more irrespective of tolerance specifications In Taguchi s view tolerance specifications are given by engineers and not by customers what the customer experiences is loss This equation is true for a single product if loss is to be calculated for multiple products the loss function is given by L k S2 y displaystyle bar y m 2 where S2 is the variance of product size and y displaystyle bar y is the average product size Overview editThe Taguchi loss function is important for a number of reasons primarily to help engineers better understand the importance of designing for variation See also editTaguchi methods Taguchi also focus on Robust design of model References edit Deming W Edwards 1993 The New Economics For Industry Government Education MIT Press ISBN 0 911379 05 3 Retrieved from https en wikipedia org w index php title Taguchi loss function amp oldid 982031209, wikipedia, wiki, book, books, library,
