Variable sampling inspection with screening for assuring the upper limit of maximum expected surplus loss when lot quality follows mixed normal distribution consisting of two normal distributions

Maiko Morita, Ippei Nakase, Ikuo Arizono, Yasuhiko Takemoto

Research output: Contribution to journalArticle

Abstract

Taguchi has presented the concept of quality loss as an evaluation measure of the quality of items based on variable properties. Recently, Takemoto and Arizono, and Morita et al. have proposed variable sampling inspection with screening for the purpose of assuring the upper limit of maximum expected surplus loss after inspection. In this inspection scheme, it is assumed that the product lot consists of only items manufactured through a single production line and the lot quality characteristics follow a normal distribution. In previous literature regarding inspection schemes, it has been commonly assumed that lot quality characteristics obey the single normal distribution under the assumption that all the items are manufactured under the same conditions. On the other hand, the production line should be designed in order that the workload of respective processes becomes uniform on the basis of the concept of line balancing. Therefore, the bottleneck process for the workload is generally composed of more than one parallel workshop. The lot quality characteristics from such a production line with the process consisting of some parallel workshops might not strictly follow single normal distribution. Therefore, in this article, we expand an applicable scope of the above-mentioned variable sampling inspection with screening. Specifically, we consider variable sampling inspection with screening for the purpose of assuring the upper limit of maximum expected surplus quality loss in the production lots when the lot quality follows mixed normal distribution consisting of two normal distributions, as a basic study into quality assurance for mixed normal distributions. Then, the applicability and effectiveness of the sampling inspection are verified.

Original languageEnglish
Pages (from-to)77-86
Number of pages10
JournalJournal of Japan Industrial Management Association
Volume60
Issue number2
Publication statusPublished - 2009
Externally publishedYes

Fingerprint

Normal distribution
Screening
Gaussian distribution
Inspection
Sampling
Production Line
Workload
Quality Assurance
Surplus
Quality assurance
Balancing
Expand
Strictly
Line
Evaluation
Quality characteristics
Production line

Keywords

  • Maximum expected surplus loss
  • Mixture production lots
  • Quality assurance
  • Sampling inspection plan with screening
  • Taguchi's loss function

ASJC Scopus subject areas

  • Industrial and Manufacturing Engineering
  • Applied Mathematics
  • Management Science and Operations Research
  • Strategy and Management

Cite this

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abstract = "Taguchi has presented the concept of quality loss as an evaluation measure of the quality of items based on variable properties. Recently, Takemoto and Arizono, and Morita et al. have proposed variable sampling inspection with screening for the purpose of assuring the upper limit of maximum expected surplus loss after inspection. In this inspection scheme, it is assumed that the product lot consists of only items manufactured through a single production line and the lot quality characteristics follow a normal distribution. In previous literature regarding inspection schemes, it has been commonly assumed that lot quality characteristics obey the single normal distribution under the assumption that all the items are manufactured under the same conditions. On the other hand, the production line should be designed in order that the workload of respective processes becomes uniform on the basis of the concept of line balancing. Therefore, the bottleneck process for the workload is generally composed of more than one parallel workshop. The lot quality characteristics from such a production line with the process consisting of some parallel workshops might not strictly follow single normal distribution. Therefore, in this article, we expand an applicable scope of the above-mentioned variable sampling inspection with screening. Specifically, we consider variable sampling inspection with screening for the purpose of assuring the upper limit of maximum expected surplus quality loss in the production lots when the lot quality follows mixed normal distribution consisting of two normal distributions, as a basic study into quality assurance for mixed normal distributions. Then, the applicability and effectiveness of the sampling inspection are verified.",
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T1 - Variable sampling inspection with screening for assuring the upper limit of maximum expected surplus loss when lot quality follows mixed normal distribution consisting of two normal distributions

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AU - Nakase, Ippei

AU - Arizono, Ikuo

AU - Takemoto, Yasuhiko

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