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ISSN : 1598-7248 (Print)
ISSN : 2234-6473 (Online)
Industrial Engineering & Management Systems Vol.8 No.3 pp.131-138
DOI :

Variable Sampling Inspection with Screening When Lot Quality Follows Mixed Normal Distribution

Yasuhiko Takemoto, 1Yuichiro Suzuki, 2Ikuo Arizono
Faculty of Management and Information Systems Prefectural University of Hiroshima, Hiroshima, 734-8558, JAPAN
1Graduate School of Engineering Osaka Prefecture University, Sakai, Osaka, 599-8531, JAPAN

2Graduate School of Engineering Osaka Prefecture University, Sakai, Osaka, 599-8531, JAPAN
Received Date, March 19, 2009; Revised Date, July 22, 2009; Accepted Date, July 28, 2009 (Selected from APIEMS 2008)

Abstract

The variable sampling inspection scheme with screening for the purpose of assuring the upper limit of maximum expected surplus loss after inspection has been proposed. In this inspection scheme, it has been assumed that a product lot consists of products manufactured through a single production line and lot quality characteristics follow a normal distribution. In the previous literature with respect to inspection schemes, it has been commonly assumed that lot quality characteristics obey a single normal distribution under the condition that all products are manufactured in the same condition. On the other hand, the production line is designed in order that the workload of respective processes becomes uniform from the viewpoint of line balancing. One of the solutions for the bottleneck process is to arrange the workshops in parallel. The lot quality characteristics from such a production line with the process consisting of some parallel workshops might not follow strictly the single normal distribution. Therefore, we expand an applicable scope of the above mentioned variable sampling inspection scheme with screening in this article. Concretely, we consider the variable sampling inspection with screening for the purpose of assuring the upper limit of average outgoing surplus quality loss in the production lots when the lot quality follows the mixed normal distribution.

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