Abstract
Selective assembly is an effective approach for improving the quality of a product assembled from two types of components when the quality characteristic is the clearance between the mating components. In this article, optimal binning strategies under squared error loss in selective assembly when the clearance is constrained by a tolerance parameter are discussed. Conditions for a set of constrained optimal partition limits are given, and uniqueness of this set is shown for the case when the dimensional distributions of the two components are identical and strongly unimodal. Some numerical results are reported that compare constrained optimal partitioning, unconstrained optimal partitioning, and equal width partitioning.
| Original language | English |
|---|---|
| Pages (from-to) | 592-605 |
| Number of pages | 14 |
| Journal | Communications in Statistics - Theory and Methods |
| Volume | 39 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2010 Jan |
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Keywords
- Match gauging
- Quality control
- Specification limits
- Strongly unimodal
ASJC Scopus subject areas
- Statistics and Probability
Cite this
Optimal binning strategies under squared error loss in selective assembly with a tolerance constraint. / Matsuura, Shun; Shinozaki, Nobuo.
In: Communications in Statistics - Theory and Methods, Vol. 39, No. 4, 01.2010, p. 592-605.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Optimal binning strategies under squared error loss in selective assembly with a tolerance constraint
AU - Matsuura, Shun
AU - Shinozaki, Nobuo
PY - 2010/1
Y1 - 2010/1
N2 - Selective assembly is an effective approach for improving the quality of a product assembled from two types of components when the quality characteristic is the clearance between the mating components. In this article, optimal binning strategies under squared error loss in selective assembly when the clearance is constrained by a tolerance parameter are discussed. Conditions for a set of constrained optimal partition limits are given, and uniqueness of this set is shown for the case when the dimensional distributions of the two components are identical and strongly unimodal. Some numerical results are reported that compare constrained optimal partitioning, unconstrained optimal partitioning, and equal width partitioning.
AB - Selective assembly is an effective approach for improving the quality of a product assembled from two types of components when the quality characteristic is the clearance between the mating components. In this article, optimal binning strategies under squared error loss in selective assembly when the clearance is constrained by a tolerance parameter are discussed. Conditions for a set of constrained optimal partition limits are given, and uniqueness of this set is shown for the case when the dimensional distributions of the two components are identical and strongly unimodal. Some numerical results are reported that compare constrained optimal partitioning, unconstrained optimal partitioning, and equal width partitioning.
KW - Match gauging
KW - Quality control
KW - Specification limits
KW - Strongly unimodal
UR - http://www.scopus.com/inward/record.url?scp=76949083479&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=76949083479&partnerID=8YFLogxK
U2 - 10.1080/03610920902763890
DO - 10.1080/03610920902763890
M3 - Article
AN - SCOPUS:76949083479
VL - 39
SP - 592
EP - 605
JO - Communications in Statistics - Theory and Methods
JF - Communications in Statistics - Theory and Methods
SN - 0361-0926
IS - 4
ER -