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TAGUCHI’S
QUALITY
LOSS
FUNCTION
Genichi Taguchi
INTRODUCTION
 Taguchi Methods is a statistical methods
developed largely by GENICHI TAGUCHI to
improve quality of manufactured goods.
 The philosophy of off-line quality control.
 Innovations in the design of experiments.
Taguchi Loss Function Definition
 Taguchi defines Quality as “the loss imparted
by the product to society from the time the
product is shipped.”
 LOSS = Cost to operate, Failure to function,
maintenance and repair cost, customer
satisfaction, poor design.
 Product to be produced “being within
specification”
Taguchi’s Vs Traditional
Approach
Taguch’s Traditional
When a product
moves from its Target
will cause the loss
even if the product
lies or not within
Limits
There is Good or Bad
Products only as per
Limits
Taguchi’s Quadratic Quality Loss
Function
 Quality Loss Occurs when a product’s
deviates from target or nominal value.
 Deviation Grows, then Loss increases.
 Taguchi’s U-shaped loss Function Curve.
Taguchi’s U-shaped loss Function
Curve.
LTL Nominal
Measured
characteristic
UTL
Taguchi loss Fn
Scrap or Rework Cost.
Loss
Formula to find Taguchi’s Loss Fn
Taguchi uses Quadratic Equation to
determine loss Curve
 L (x) = k (x-N)²
Where L (x) = Loss Function,
k = C/d² = Constant of proportionality,
where C – Loss associated with sp limit
d - Deviation of specification
from target value
x = Quality Features of selected product,
N = Nominal Value of the product and
(x-N) = Tolerance
Problem
 A part dimension on a power tool is
specified as 32.25±0.25.Company records
show±0.25 exceeded & 75% of the
returned fo replacement. Cost of
replacement is Rs.12,500.Determine k &
QLF.
Solution : Expected Cost of repair
C = 0.75(12500) = Rs 9,375
k = C/d²= 9375/(90.25)² = Rs 1,50,000
QLF =L (x) 1,50,00(x-N)
TQM_TAGUCHI.ppt Total Quality Management

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TQM_TAGUCHI.ppt Total Quality Management

  • 2. INTRODUCTION  Taguchi Methods is a statistical methods developed largely by GENICHI TAGUCHI to improve quality of manufactured goods.  The philosophy of off-line quality control.  Innovations in the design of experiments.
  • 3. Taguchi Loss Function Definition  Taguchi defines Quality as “the loss imparted by the product to society from the time the product is shipped.”  LOSS = Cost to operate, Failure to function, maintenance and repair cost, customer satisfaction, poor design.  Product to be produced “being within specification”
  • 4. Taguchi’s Vs Traditional Approach Taguch’s Traditional When a product moves from its Target will cause the loss even if the product lies or not within Limits There is Good or Bad Products only as per Limits
  • 5. Taguchi’s Quadratic Quality Loss Function  Quality Loss Occurs when a product’s deviates from target or nominal value.  Deviation Grows, then Loss increases.  Taguchi’s U-shaped loss Function Curve.
  • 6. Taguchi’s U-shaped loss Function Curve. LTL Nominal Measured characteristic UTL Taguchi loss Fn Scrap or Rework Cost. Loss
  • 7. Formula to find Taguchi’s Loss Fn Taguchi uses Quadratic Equation to determine loss Curve  L (x) = k (x-N)² Where L (x) = Loss Function, k = C/d² = Constant of proportionality, where C – Loss associated with sp limit d - Deviation of specification from target value x = Quality Features of selected product, N = Nominal Value of the product and (x-N) = Tolerance
  • 8. Problem  A part dimension on a power tool is specified as 32.25±0.25.Company records show±0.25 exceeded & 75% of the returned fo replacement. Cost of replacement is Rs.12,500.Determine k & QLF. Solution : Expected Cost of repair C = 0.75(12500) = Rs 9,375 k = C/d²= 9375/(90.25)² = Rs 1,50,000 QLF =L (x) 1,50,00(x-N)