Economic design of double sampling Cpm control chart for monitoring process capability

Ryosuke Tomohiro, Ikuo Arizono and Yasuhiko Takemoto

International Journal of Production Economics, 2020, vol. 221, issue C

Abstract: In this papers, we address a double samplimg Cpm control chart. It is well known that a double sampling scheme can reduce average sampling number in comparison with a single sampling scheme in sampling inspection. However, it is complicated and difficult to design the double sampling Cpm control chart because a judgment rule of the 2nd sampling stage depends on a record of 1st sampling stage. Therefore, this paper proposes a double sampling Cpm control chart incorporating the feature that a judgment rule of 2nd sampling stage is independent of a record of 1st sampling. The design algorithm for the proposed double sampling Cpm control chart is constructed by taking the economical operation of this control chart into the consideration. That is, the economic design of the double sampling Cpm control chart is addressed. Through some numerical comparison, it has been confirmed that the proposed double sampling Cpm control chart has an advantage in the expected total operating cost over the traditional single sampling Cpm control chart.

Keywords: Cpm control chart; Double sampling; Economical operation; Process capacity index; Quality loss (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:proeco:v:221:y:2020:i:c:s0925527319302786

DOI: 10.1016/j.ijpe.2019.08.003

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