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Integration of quadratic loss function approach in the economic design of VSI control chart with combined attribute‐variable inspection
Author(s) -
Wan Qiang,
Zhu Mei
Publication year - 2021
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.2769
Subject(s) - control chart , chart , x bar chart , \bar x and r chart , taguchi methods , statistics , sampling (signal processing) , interval (graph theory) , control limits , control theory (sociology) , quadratic function , variable (mathematics) , mathematics , quadratic equation , mathematical optimization , computer science , process (computing) , control (management) , artificial intelligence , mathematical analysis , geometry , filter (signal processing) , combinatorics , computer vision , operating system
This paper proposes a variable sampling interval n p x − X ¯control chart for monitoring the process mean using combined attribute‐variable inspection. An economic design of the proposed chart using Taguchi's quadratic loss function is presented. The proposed model minimizes the total expected cost per unit time while minimizing out‐of‐control average time‐to‐signal and maintaining reasonable in‐control average time‐to‐signal. The numerical results indicate that, compared with the corresponding fixed sampling interval control chart scheme, the proposed control chart yields better performance in terms of both shorter time to signal a process shift and less total expected cost per unit time. Sensitivity analyses of the cost model are also carried out by using a fractional factorial experimental design.