Title: The influence of measurement error on calculation of process capability indices and proportion of conformance

Authors: Rui Miao; Yizhou Wu; Guoqing Sun; Xiyao Gu; Jie Zhang

Addresses: Department of Industrial Engineering & Logistics Management, School of Mechanical Engineering, Shanghai Jiao Tong University, 800 Dong Chuan Rd., 200240 Shanghai, China ' Department of Industrial Engineering & Logistics Management, School of Mechanical Engineering, Shanghai Jiao Tong University, 800 Dong Chuan Rd., 200240 Shanghai, China ' Department of Industrial Engineering & Logistics Management, School of Mechanical Engineering, Shanghai Jiao Tong University, 800 Dong Chuan Rd., 200240 Shanghai, China ' Department of Industrial Engineering & Logistics Management, School of Mechanical Engineering, Shanghai Jiao Tong University, 800 Dong Chuan Rd., 200240 Shanghai, China ' Department of Industrial Engineering & Logistics Management, School of Mechanical Engineering, Shanghai Jiao Tong University, 800 Dong Chuan Rd., 200240 Shanghai, China

Abstract: The influence of measurement error on the calculation of Process Capability Indices (PCIs) and proportion of conformance is proposed. General calculation formulas are given to calculate the PCIs (Cp, Cpk, Cpm, Cpmk) and proportion of conformance when measurement error is present. The relationship between PCIs and proportion of conformance is established based on measurement error. The influence of measurement on PCIs and the proportion of conformance is analysed by simulation.

Keywords: measurement errors; process capability indices; proportion of conformance; simulation.

DOI: 10.1504/IJRS.2016.081602

International Journal of Reliability and Safety, 2016 Vol.10 No.3, pp.195 - 209

Accepted: 17 Jun 2016
Published online: 17 Jan 2017 *

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