Entire product capability analysis chart with asymmetric tolerances index Spa

Chun-Min Yu; Kun-Tzu Yu; Kuen-Suan Chen

doi:10.3934/mbe.2020387

Entire product capability analysis chart with asymmetric tolerances index S_pa

Math Biosci Eng. 2020 Nov 3;17(6):7605-7620. doi: 10.3934/mbe.2020387.

Authors

Chun-Min Yu¹, Kun-Tzu Yu², Kuen-Suan Chen^{1

3}

Affiliations

¹ Department of Industrial Engineering and Management, National Chin-Yi University of Technology, Taichung 411, Taiwan, R. O. C.
² Department of Marketing and Distribution Management, Tzu Chi University of Science and Technology, Hualien 970, Taiwan, R. O. C.
³ Department of Business Administration, Chaoyang University of Technology, Taichung 41349, Taiwan, R. O. C.

PMID: 33378911
DOI: 10.3934/mbe.2020387

Abstract

This study proposes the S_pa-product capability analysis chart (S_pa-PCAC), which can widely represent multiple process capabilities with asymmetric tolerances of Smaller-the-Better, Larger-the-Better, and Nominal-the-Best characteristics. Process capability index S_pa is generated based on index S_pk, which uses asymmetric tolerances to reasonably measure process capabilities. The interval estimates of the indices are derived to reliably assess process capabilities. The Six-Sigma-based quality-level and its connection with the process yield are introduced in the capability zone of S_pa-PCAC to check if the process capabilities can meet the requirements. One example of an entire product is given for application.

Keywords: Six-Sigma; asymmetric tolerances; capability zone; process capability index; product capability analysis chart.

Publication types

Research Support, Non-U.S. Gov't