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.
^Deming, W. Edwards (1993). The New Economics: For Industry, Government, Education. MIT Press. ISBN 0-911379-05-3.
and 23 Related for: Taguchi loss function information
The Taguchilossfunction is graphical depiction of loss developed by the Japanese business statistician Genichi Taguchi to describe a phenomenon affecting...
some of Taguchi's proposals.[citation needed] Taguchi's work includes three principal contributions to statistics: A specific lossfunction The philosophy...
Genichi Taguchi (田口 玄一, Taguchi Gen'ichi, January 1, 1924 – June 2, 2012) was an engineer and statistician. From the 1950s on, Taguchi developed a methodology...
analysis (Customer centric version/perspective of SIPOC) Taguchi methods/TaguchiLossFunction Value stream mapping Experience has shown that processes...
deviation from target, the greater is the loss. This is described as the Taguchilossfunction or quality lossfunction, and it is the key principle of an alternative...
info TaguchilossfunctionTaguchi methods Tajima's D Taleb distribution Tampering (quality control) Taylor expansions for the moments of functions of random...
real risks of having a part borderline out of specification. The lossfunction of Taguchi better illustrates this concept. At least one academic expert recommends...
flow (measured as cycle time variation) with "loss" as described by the TaguchiLossFunction (see Taguchi Methods). Sudden changes in business conditions...
3D printing parameter optimization by many methods including with the Taguchi methods to enable ASA to be used for high-end applications. ASA with compounds...
original on 10 October 2007. Retrieved 4 January 2022. Kudo T, Endo Y, Taguchi R, Yatsu M, Ito K (May 2015). "Metronidazole reduces the expression of...
effects are: full loss of function x, degraded performance, functions in reversed mode, too late functioning, erratic functioning, etc. Each end effect...
variants encoding different isoforms have been identified for this gene. Loss of function mutations in the CAXII gene result in defects in fluids and carbonate...
normal tumor suppressive function whereas high penetrance mutations in these genes cause a loss of tumor suppressive function, which correlates with an...
Quality through design: Experimental design, off-line quality control, and Taguchi's contributions. Oxford U. P. pp. 464+xi. ISBN 978-0-19-851993-5. Nordström...
This concept played a central role in the development of Taguchi methods by Genichi Taguchi, which took place during his visit to Indian Statistical Institute...
T, Maeda M, Uemura M, Lo EK, Terasaki Y, Liang AC, Shindo A, Choi YK, Taguchi A, Matsuyama T, Takahashi R, Ihara M, Arai K (June 2015). "Potential interactions...