Numerical approximation approach to the producibility of composite position tolerance specifications for pattern of holes

Min Xi, El-amine Lehtihet, T. M. Cavalier

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

This paper presents an iteration scheme to approximate the producibility of a pattern of holes controlled by a composite position tolerance and produced by an imperfect process. First, the producibility of a two-hole pattern subject to any of three composite position tolerance variants was evaluated by way of numerical integration. The method was then extended to the evaluation of any pattern of n holes (n > 2) by decomposing the pattern and embedding the two-hole numerical approximation algorithm in an iteration scheme. A performance evaluation of the results returned by the numerical approximation against those obtained by simulation was performed and showed very satisfactory performance with a substantial saving in computation time.

Original languageEnglish (US)
Pages (from-to)243-266
Number of pages24
JournalInternational Journal of Production Research
Volume42
Issue number2
DOIs
StatePublished - Jan 15 2004

Fingerprint

Specifications
Composite materials
Approximation algorithms
Tolerance
Approximation
Evaluation
Simulation
Numerical integration
Performance evaluation

All Science Journal Classification (ASJC) codes

  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering

Cite this

@article{554eae747dbf4dc8b0835ab57c00cf40,
title = "Numerical approximation approach to the producibility of composite position tolerance specifications for pattern of holes",
abstract = "This paper presents an iteration scheme to approximate the producibility of a pattern of holes controlled by a composite position tolerance and produced by an imperfect process. First, the producibility of a two-hole pattern subject to any of three composite position tolerance variants was evaluated by way of numerical integration. The method was then extended to the evaluation of any pattern of n holes (n > 2) by decomposing the pattern and embedding the two-hole numerical approximation algorithm in an iteration scheme. A performance evaluation of the results returned by the numerical approximation against those obtained by simulation was performed and showed very satisfactory performance with a substantial saving in computation time.",
author = "Min Xi and El-amine Lehtihet and Cavalier, {T. M.}",
year = "2004",
month = "1",
day = "15",
doi = "10.1080/0020754031000149194",
language = "English (US)",
volume = "42",
pages = "243--266",
journal = "International Journal of Production Research",
issn = "0020-7543",
publisher = "Taylor and Francis Ltd.",
number = "2",

}

Numerical approximation approach to the producibility of composite position tolerance specifications for pattern of holes. / Xi, Min; Lehtihet, El-amine; Cavalier, T. M.

In: International Journal of Production Research, Vol. 42, No. 2, 15.01.2004, p. 243-266.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Numerical approximation approach to the producibility of composite position tolerance specifications for pattern of holes

AU - Xi, Min

AU - Lehtihet, El-amine

AU - Cavalier, T. M.

PY - 2004/1/15

Y1 - 2004/1/15

N2 - This paper presents an iteration scheme to approximate the producibility of a pattern of holes controlled by a composite position tolerance and produced by an imperfect process. First, the producibility of a two-hole pattern subject to any of three composite position tolerance variants was evaluated by way of numerical integration. The method was then extended to the evaluation of any pattern of n holes (n > 2) by decomposing the pattern and embedding the two-hole numerical approximation algorithm in an iteration scheme. A performance evaluation of the results returned by the numerical approximation against those obtained by simulation was performed and showed very satisfactory performance with a substantial saving in computation time.

AB - This paper presents an iteration scheme to approximate the producibility of a pattern of holes controlled by a composite position tolerance and produced by an imperfect process. First, the producibility of a two-hole pattern subject to any of three composite position tolerance variants was evaluated by way of numerical integration. The method was then extended to the evaluation of any pattern of n holes (n > 2) by decomposing the pattern and embedding the two-hole numerical approximation algorithm in an iteration scheme. A performance evaluation of the results returned by the numerical approximation against those obtained by simulation was performed and showed very satisfactory performance with a substantial saving in computation time.

UR - http://www.scopus.com/inward/record.url?scp=1342287299&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=1342287299&partnerID=8YFLogxK

U2 - 10.1080/0020754031000149194

DO - 10.1080/0020754031000149194

M3 - Article

VL - 42

SP - 243

EP - 266

JO - International Journal of Production Research

JF - International Journal of Production Research

SN - 0020-7543

IS - 2

ER -