### Abstract

This paper presents a new approach to determining economical values for manufacturer lower and upper specification limits using a newly derived hybrid function for expected cost. The identification and use of specification limits are essential in protecting the producer from shipping defective products that pass unnoticed due to measurement error. This cost function is composed of four parts: a generic Taguchi loss function, a function for rework cost, a function for scrap cost, and a function that describes a variance to cost tradeoff. The expected cost function does not assume the process mean to be equal to the target value of the process nor is it restricted to being symmetrical. The cost function is implemented among different production systems and optimal values of manufacturer lower and upper specification limits are determined for each system. Significance: Determination of the specification limits which optimize the expected cost without sacrificing the functional requirement is important. We include Taguchi's loss function, because it captures the external failure cost.

Original language | English (US) |
---|---|

Pages (from-to) | 117-125 |

Number of pages | 9 |

Journal | International Journal of Industrial Engineering : Theory Applications and Practice |

Volume | 13 |

Issue number | 2 |

State | Published - Jun 1 2006 |

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### All Science Journal Classification (ASJC) codes

- Industrial and Manufacturing Engineering

### Cite this

*International Journal of Industrial Engineering : Theory Applications and Practice*,

*13*(2), 117-125.

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*International Journal of Industrial Engineering : Theory Applications and Practice*, vol. 13, no. 2, pp. 117-125.

**A new loss function for the selection of producer specification limits.** / Rosen, Scott L.; Chandra, M. Jeya.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A new loss function for the selection of producer specification limits

AU - Rosen, Scott L.

AU - Chandra, M. Jeya

PY - 2006/6/1

Y1 - 2006/6/1

N2 - This paper presents a new approach to determining economical values for manufacturer lower and upper specification limits using a newly derived hybrid function for expected cost. The identification and use of specification limits are essential in protecting the producer from shipping defective products that pass unnoticed due to measurement error. This cost function is composed of four parts: a generic Taguchi loss function, a function for rework cost, a function for scrap cost, and a function that describes a variance to cost tradeoff. The expected cost function does not assume the process mean to be equal to the target value of the process nor is it restricted to being symmetrical. The cost function is implemented among different production systems and optimal values of manufacturer lower and upper specification limits are determined for each system. Significance: Determination of the specification limits which optimize the expected cost without sacrificing the functional requirement is important. We include Taguchi's loss function, because it captures the external failure cost.

AB - This paper presents a new approach to determining economical values for manufacturer lower and upper specification limits using a newly derived hybrid function for expected cost. The identification and use of specification limits are essential in protecting the producer from shipping defective products that pass unnoticed due to measurement error. This cost function is composed of four parts: a generic Taguchi loss function, a function for rework cost, a function for scrap cost, and a function that describes a variance to cost tradeoff. The expected cost function does not assume the process mean to be equal to the target value of the process nor is it restricted to being symmetrical. The cost function is implemented among different production systems and optimal values of manufacturer lower and upper specification limits are determined for each system. Significance: Determination of the specification limits which optimize the expected cost without sacrificing the functional requirement is important. We include Taguchi's loss function, because it captures the external failure cost.

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UR - http://www.scopus.com/inward/citedby.url?scp=34047146412&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:34047146412

VL - 13

SP - 117

EP - 125

JO - International Journal of Industrial Engineering : Theory Applications and Practice

JF - International Journal of Industrial Engineering : Theory Applications and Practice

SN - 1072-4761

IS - 2

ER -