### Abstract

Selective assembly is an effective approach for improving the quality of a product assembled from two components when the quality characteristic is the clearance between the mating components. A component is rejected if its dimension is outside specified limits of the dimensional distribution. Acceptable components are sorted into several classes by their dimensions, and the product is assembled from randomly selected mating components from the corresponding classes. We assume that the two component dimensions are normally distributed with equal variance, and that measurement error, if any, is also normally distributed. Taking into account the quality loss of a sold product, the selling price of an assembled product, the component manufacturing cost, and the income from a rejected component, we discuss the optimal partitioning of the dimensional distribution to maximize expected profit, including the optimal choice of the distribution limits or truncation points. Equations for a set of optimal partition limits are given and its uniqueness is established in the presence and absence of measurement error. It is shown that the expected profit based on the optimal partition decreases with increasing variance of the measurement error. In addition, some numerical results are presented to compare the optimal partitions for the cases when the truncation points are and are not fixed.

Original language | English |
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Title of host publication | Frontiers in Statistical Quality Control 9 |

Publisher | Physica-Verlag |

Pages | 173-190 |

Number of pages | 18 |

ISBN (Print) | 9783790823790 |

DOIs | |

Publication status | Published - 2010 Jan 1 |

Event | 9th International Workshop on Intelligent Statistical Quality Control - Beijing, China Duration: 2007 Sep 1 → 2007 Sep 1 |

### Publication series

Name | Frontiers in Statistical Quality Control 9 |
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### Other

Other | 9th International Workshop on Intelligent Statistical Quality Control |
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Country | China |

City | Beijing |

Period | 07/9/1 → 07/9/1 |

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

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## Cite this

*Frontiers in Statistical Quality Control 9*(pp. 173-190). (Frontiers in Statistical Quality Control 9). Physica-Verlag. https://doi.org/10.1007/978-3-7908-2380-6_12