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 language | English |
|---|---|
| Pages (from-to) | 77-86 |
| Number of pages | 10 |
| Journal | Journal of Japan Industrial Management Association |
| Volume | 60 |
| Issue number | 2 |
| Publication status | Published - 2009 |
| Externally published | Yes |
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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
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. / Morita, Maiko; Nakase, Ippei; Arizono, Ikuo; Takemoto, Yasuhiko.
In: Journal of Japan Industrial Management Association, Vol. 60, No. 2, 2009, p. 77-86.Research output: Contribution to journal › Article
}
TY - JOUR
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
AU - Morita, Maiko
AU - Nakase, Ippei
AU - Arizono, Ikuo
AU - Takemoto, Yasuhiko
PY - 2009
Y1 - 2009
N2 - 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.
AB - 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.
KW - Maximum expected surplus loss
KW - Mixture production lots
KW - Quality assurance
KW - Sampling inspection plan with screening
KW - Taguchi's loss function
UR - http://www.scopus.com/inward/record.url?scp=77953849482&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77953849482&partnerID=8YFLogxK
M3 - Article
VL - 60
SP - 77
EP - 86
JO - Journal of Japan Industrial Management Association
JF - Journal of Japan Industrial Management Association
SN - 0386-4812
IS - 2
ER -