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http://dx.doi.org/10.7469/JKSQM.2017.45.4.943

Economic Design of Variable Sample Size ${\bar{X}}$ Control Chart Using a Surrogate Variable  

Lee, Tae Hoon (VHTR Development Division, Korea Atomic Energy Research Institute)
Lee, Min Koo (Department of Information and Statistics, Chungnam National University)
Kwon, Hyuck Moo (Division of Systems Management and Engineering, Pukyong National University)
Hong, Sung Hoon (Division of Systems Management and Engineering, Pukyong National University)
Lee, Jooho (Department of Information and Statistics, Chungnam National University)
Publication Information
Journal of Korean Society for Quality Management / v.45, no.4, 2017 , pp. 943-956 More about this Journal
Abstract
Purpose: This paper proposes a VSS(Variable Sample Size) ${\bar{X}}$ control chart using surrogate variable and shows its effectiveness compared with FSS(Fixed Sample Size) ${\bar{X}}$ control chart using either performance variable or surrogate variable. Methods: The expected cost function of VSS ${\bar{X}}$ control chart is derived. The optimal designs are then found for numerical examples using a GA(genetic algorithm) and compared to those of the FSS ${\bar{X}}$ control charts. Results: Computational results show that VSS ${\bar{X}}$ control chart using surrogate variables is superior to FSS ${\bar{X}}$ control chart using either performance variable or surrogate variable from the economic view points. Conclusion: The proposed VSS ${\bar{X}}$ control chart will be useful in industry fields where a performance variable is not avaliable or too costly.
Keywords
Economic Design; Variable Sample Size; Performance Variable; Surrogate Variable; Fixed Sample Size;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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