Optimal binning strategies under squared error loss in selective assembly with a tolerance constraint

Shun Matsuura; Nobuo Shinozaki

doi:10.1080/03610920902763890

Optimal binning strategies under squared error loss in selective assembly with a tolerance constraint

Shun Matsuura, Nobuo Shinozaki

Department of Industrial and Systems Engineering

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

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	https://doi.org/10.1080/03610920902763890
Publication status	Published - 2010 Jan

Keywords

Match gauging
Quality control
Specification limits
Strongly unimodal

ASJC Scopus subject areas

Statistics and Probability

Access to Document

10.1080/03610920902763890

Fingerprint Dive into the research topics of 'Optimal binning strategies under squared error loss in selective assembly with a tolerance constraint'. Together they form a unique fingerprint.

Cite this

@article{55a018584d3e401f91a275860b8d381c,

title = "Optimal binning strategies under squared error loss in selective assembly with a tolerance constraint",

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.",

keywords = "Match gauging, Quality control, Specification limits, Strongly unimodal",

author = "Shun Matsuura and Nobuo Shinozaki",

note = "Funding Information: The authors thank anonymous referees for lucid and constructive comments. This research was supported by a Grant-in-Aid for JSPS Fellows, 20·381. Copyright: Copyright 2010 Elsevier B.V., All rights reserved.",

year = "2010",

month = jan,

doi = "10.1080/03610920902763890",

language = "English",

volume = "39",

pages = "592--605",

journal = "Communications in Statistics - Theory and Methods",

issn = "0361-0926",

publisher = "Taylor and Francis Ltd.",

number = "4",

}

TY - JOUR

T1 - Optimal binning strategies under squared error loss in selective assembly with a tolerance constraint

AU - Matsuura, Shun

AU - Shinozaki, Nobuo

N1 - Funding Information: The authors thank anonymous referees for lucid and constructive comments. This research was supported by a Grant-in-Aid for JSPS Fellows, 20·381. Copyright: Copyright 2010 Elsevier B.V., All rights reserved.

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 -

Optimal binning strategies under squared error loss in selective assembly with a tolerance constraint

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this