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Taguchi loss function

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47:. 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. 83:) 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 35:
movement), 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
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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
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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
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The Taguchi loss function is important for a number of reasons—primarily, to help engineers better understand the importance of designing for
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to describe a phenomenon affecting the value of products produced by a company. Praised by Dr.
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is the loss. This means that if the difference between 'actual size' and 'target value' i.e. (
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function and it follows a parabolic curve mathematically given by
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The New Economics: For Industry, Government, Education
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is the theoretical 'target value' or 'mean value' and
130: 97: 145: 112: 23:developed by the Japanese business statistician 180:Taguchi also focus on Robust design of model. 8: 132: 131: 129: 99: 98: 96: 31:(the business guru of the 1980s American 189: 124:is the 'variance of product size' and 7: 67:is the actual size of the product, 14: 137: 104: 1: 153:is the average product size. 36:quality, and helped fuel the 197:Deming, W. Edwards (1993). 19:is graphical depiction of 245: 146:{\displaystyle {\bar {y}}} 113:{\displaystyle {\bar {y}}} 17:The Taguchi loss function 147: 114: 38:continuous improvement 148: 115: 128: 95: 143: 110: 71:is a constant and 140: 107: 29:W. Edwards Deming 236: 213: 212: 194: 152: 150: 149: 144: 142: 141: 133: 119: 117: 116: 111: 109: 108: 100: 244: 243: 239: 238: 237: 235: 234: 233: 219: 218: 217: 216: 209: 196: 195: 191: 186: 175:Taguchi methods 171: 159: 126: 125: 93: 92: 25:Genichi Taguchi 12: 11: 5: 242: 240: 232: 231: 229:Loss functions 221: 220: 215: 214: 207: 188: 187: 185: 182: 178: 177: 170: 167: 158: 155: 139: 136: 106: 103: 13: 10: 9: 6: 4: 3: 2: 241: 230: 227: 226: 224: 210: 208:0-911379-05-3 204: 201:. MIT Press. 200: 193: 190: 183: 181: 176: 173: 172: 168: 166: 164: 156: 154: 134: 123: 120:– m)], where 101: 90: 86: 82: 78: 74: 70: 66: 62: 58: 54: 48: 46: 41: 39: 34: 30: 26: 22: 18: 198: 192: 179: 160: 121: 88: 84: 80: 76: 72: 68: 64: 60: 56: 52: 49: 42: 16: 15: 45:Phil Crosby 184:References 40:movement. 163:variation 138:¯ 105:¯ 59:), where 223:Category 169:See also 157:Overview 33:quality 205:  85:L = k 53:L = k 203:ISBN 21:loss 91:+ ( 57:y–m 225:: 165:. 211:. 135:y 122:S 102:y 89:S 87:[ 81:m 79:– 77:y 73:L 69:k 65:y 61:m 55:(

Index

loss
Genichi Taguchi
W. Edwards Deming
quality
continuous improvement
Phil Crosby
variation
Taguchi methods
ISBN
0-911379-05-3
Category
Loss functions

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