Innovative Quick-switching Sampling System for Product Quality Sentencing Integrated with Process Incapability Index Cpp

Armin Darmawan (1)
(1) Universitas Hasanuddin, Indonesia

Abstract

Purpose: This study develops the novel inspection concept of quick switch sampling (QSS), integrating the process incapability index to determine the quality of the product based on the nonconforming fraction.


Methodology/Approach: Product quality acceptance is determined through a nonlinear optimisation model that minimises the average sample number (ASN) for inspection, subject to constraints on predetermined quality levels and risks. The plan's effectiveness is evaluated based on the efficiency of ASN and the discriminatory power of its operating characteristics (OC) curve.


Findings: The findings reveal that the QSS sampling strategy provides requisite quality assurance with reduced sample sizes relative to the conventional quality inspection model while maintaining discriminatory power between business partners. These findings highlight the potential of QSS systems to enhance the effectiveness of quality control while maintaining stringent quality standards.


Research Limitation/Implication: The study was conducted under the assumption that quality characteristics are normally distributed.


Originality/Value of paper: The development of a QSS plan integrated with the process incapability index offers adaptive inspection protocols that dynamically adjust inspection stringency in response to fluctuations in product quality and accommodate product sensitivity in terms of process accuracy and precision. 

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References

Balamurali, S. and Usha, M. 2012. Variables quick switching system with double specification limits, International Journal of Reliability, Quality and Safety Engineering, 19(2), pp. 1–17. https://doi.org/10.1142/S0218539312500088

Balamurali, S. and Usha, M. 2014. Optimal designing of variables quick switching system based on the process capability index Cpk, Journal of Industrial and Production Engineering, 31(2), pp. 85–94. https://doi.org/10.1080/21681015.2014.893929

Balamurali, S. and Usha, M. 2017. Developing and designing of an efficient variables sampling system based on the process capability index, Journal of Statistical Computation and Simulation, 87(7), pp. 1401–1415. https://doi.org/10.1080/00949655.2016.1267735

Bera, K. and Anis, M. Z. 2024. Process incapability index for autocorrelated data in the presence of measurement errors, Communications in Statistics - Theory and Methods, 53(15), pp. 5439–5459. https://doi.org/10.1080/03610926.2023.2220921

Bidabadi, H. S., Shishebori, D. and Yazdi, A. A. 2021. Multivariate Process Incapability Index Considering Measurement Error in Fuzzy Environment, Advances in Industrial Engineering, 54(2), pp. 205–220. https://doi.org/10.22059/jieng.2021.323883.1765

Chen, K. et al. 2024. Fuzzy Testing Method of Process Incapability Index, Mathematics, 12(5), p. 623. https://doi.org/10.3390/math12050623

Chen, K. S. 1998. Estimation of the process incapability index, Communications in Statistics - Theory and Methods, 27(5), pp. 1263–1274. https://doi.org/10.1080/03610929808832157

Chen, K. S. 1998. Incapability index with asymmetric tolerances, Statistica Sinica, 8(1), pp. 253–262. http://www.jstor.org/stable/24306353

Chen, K. S., Chen, K. L. and Li, R. K. 2005. Contract manufacturer selection by using the process incapability index C-pp, International Journal of Advanced Manufacturing Technology, 26(5–6), pp. 686–692. https://doi.org/10.1007/s00170-003-1886-5

Chen, K. S. and Chen, T. W. 2008. Multi-process capability plot and fuzzy inference evaluation, International Journal of Production Economics, 111(1), pp. 70–79. https://doi.org/10.1016/j.ijpe.2006.12.056

Darmawan, A., Bahri, S., et al. 2025. A flexible resubmitted variable sampling plan for product quality determination using the process loss index, Production Engineering Archives, 31(2), pp. 201–211. https://doi.org/10.30657/pea.2025.31.20

Darmawan, A., Wu, C., et al. 2025. Developing variables two-plan sampling scheme with consideration of process loss for lot sentencing, Quality Engineering, 37(2), pp. 273–291. https://doi.org/10.1080/08982112.2024.2381012

Dodge, H. F. 1965. Evaluation of Sampling Inspection System having Rules for Switching between Normal and Tightened Inspection, In: Technical Report 14. Rutgers State University: The Statistics Center.

Ganji, Z. A. 2019. Multivariate process incapability vector, Quality and Reliability Engineering International, 35(4), pp. 902–919. https://doi.org/10.1002/qre.2435

Ganji, Z. A. and Gildeh, B. S. 2016. Assessing Process Performance with Incapability Index Based on Fuzzy Critical Value, Iranian Journal of Fuzzy Systems, 13(5), pp. 21–34. https://doi.org/10.22111/ijfs.2016.2731

Gildeh, B. S. and Ganji, Z. A. 2020. The effect of measurement error on the process incapability index, Communications in Statistics-Theory and Methods, 49(3), pp. 552–566. https://doi.org/10.1080/03610926.2018.1543777

Govindaraju, K. and Ganesalingam, S. 1998. Zero acceptance number quick switching system for compliance sampling, Journal of Applied Statistics, 25(3), pp. 399–407. https://doi.org/10.1080/02664769823124

Greenwich M, and Jahr‐Schaffrath B.L. 1995. A process incapability index. International Journal of Quality & Reliability Management, 12(4), pp. 58–71. https://doi.org/10.1108/02656719510087328

Hald, A. and Thyregod, P. 1965. The composite operating characteristic under normal and tightened sampling inspection by attributes, Bulletin of International Statistical Institute, 41, pp. 517–529.

Kahraman, C. and Kaya, I. 2011. Fuzzy Estimations of Process Incapability Index, World Congress on Engineering, WCE 2011, VOL II. Edited by S. I. Ao et al. Istanbul Technical University, Department of Industrial Engineering, TR-34367 Macka, Istanbul, Turkey, pp. 1106–1110.

Kaya, I. 2014. The Process Incapability Index under Fuzziness with an Application for Decision Making, International Journal of Computational Intelligence Systems, 7(1), pp. 114–128. doi: https://doi.org/10.1080/18756891.2013.858905.

Kaya, I. and Baracli, H. 2012. Fuzzy Process Incapability Index with Asymmetric Tolerances, Journal of Multiple-Valued Logic and Soft Computing, 18(5–6), pp. 493–511.

Leony, F. and Lin, C. 2022. The PO bootstrap approach for comparing process incapability applied to non-normal process selection, Quality Technology & Quantitative Management, 19(2), pp. 215–233. https://doi.org/10.1080/16843703.2021.2015827

Liao, M. Y. 2015. Assessing process incapability when collecting data from multiple batches, International Journal of Production Research, 53(7), pp. 2041–2054. https://doi.org/10.1080/00207543.2014.952796

Lin, G. H. 2007. A Bayesian approach based on multiple samples for measuring process performance with incapability index, International Journal of Production Economics, 106(2), pp. 506–512. https://doi.org/10.1016/j.ijpe.2006.06.012

Liu, S. W., Wang, Z. H. and Wang, T. C. 2023. Developing a cost-efficient dual sampling system for lot disposition by considering process yield and quality loss, Quality Engineering, 35(2), pp. 267–278. https://doi.org/10.1080/08982112.2022.2124381

Liu, S. W. and Wu, C. W. 2016. A quick switching sampling system by variables for controlling lot fraction nonconforming, International Journal of Production Research, 54(6), pp. 1839–1849. https://doi.org/10.1080/00207543.2015.1084062

Montgomery, D. C. 2019. Introduction to Statistical Quality Control. 8th edn, John Wiley & Sons, Inc. 8th edn. Edited by S. Dumas. NJ: John Wiley & Sons, Inc.

Pakzad, A. and Basiri, E. 2023. A new incapability index for simple linear profile with asymmetric tolerances, Quality Engineering, 35(2), pp. 324–340. https://doi.org/10.1080/08982112.2022.2129025

Pearn, W. L., Chen, K. L. and Chen, K. S. 2002. A practical implementation of the incapability index C-pp, International Journal of Industrial Engineering-Theory Applications and Practice, 9(4), pp. 372–383.

Pearn, W. L. and Lin, G. H. 2001. On the reliability of the estimated incapability index, Quality and Reliability Engineering International, 17(4), pp. 279–290. https://doi.org/10.1002/qre.378

Romboski, L. D. 1969. An Investigation of Quick Switching Acceptance Sampling Systems, Ph.D. Thesis, Rutgers-The State University.

Schilling, E. G. 1982. Acceptance Sampling in Quality Control, New York. Edited by D. B. Owen. New York: Marcel Dekker, Inc.

Sheu, L. C. et al. 2014. Developing acceptance sampling plans based on incapability index Cpp, Applied Mathematics and Information Sciences, 8(5), pp. 2509–2514. https://doi.org/10.12785/amis/080548

Soundararajan, V. and Arumainayagam, S. D. 1990. Construction and selection of modified quick switching systems, Journal of Applied Statistics, 17(1), pp. 83–114. https://doi.org/10.1080/757582650

Soundararajan, V. and Palanivel, M. 2000. Quick switching variables single sampling (QSVSS) system indexed by AQL and AOQL, Journal of Applied Statistics, 27(6), pp. 771–778. https://doi.org/10.1080/02664760050081942

Wang, T.-C. 2022. Developing an adaptive sampling system indexed by Taguchi capability with acceptance-criterion-switching mechanism, The International Journal of Advanced Manufacturing Technology, 122, pp. 2329–2342. https://doi.org/10.1007/s00170-022-09996-2

Wang, T. C. and Shu, M. H. 2023. Development of an adaptive sampling system based on a process capability index with flexible switching mechanism, International Journal of Production Research, 61(21), pp. 7233–7247. https://doi.org/10.1080/00207543.2022.2147236

Wang, T. C. and Wu, C. W. 2025. Adaptive sampling system with quick-switching mechanism indexed by lifetime performance for product reliability verification, Annals of Operations Research. https://doi.org/10.1007/s10479-025-06555-2

Wang, T. C., Wu, C. W. and Wang, H. Y. 2025. Developing generalized quick-switch sampling systems for high-yield product verification, . https://doi.org/10.1016/j.cie.2025.111202

Wang, Z., Wu, C.-W. and Jhu, J. J. 2021. Design and construction of a quick-switching sampling system with a third-generation capability index, Communications in Statistics - Theory and Methods, 52(11), pp. 3633–3651. https://doi.org/10.1080/03610926.2021.1977959

Wu, C. W. et al. 2017. Capability-based quick switching sampling system for lot disposition, Applied Mathematical Modelling, 52, pp. 131–144. https://doi.org/10.1016/j.apm.2017.07.050

Wu, C. W. et al. 2024. Integrating capability index and generalized rule-switching mechanism for enhanced quick-switch sampling systems, International Journal of Production Economics, 276. https://doi.org/10.1016/j.ijpe.2024.109366

Wu, C. W., and Darmawan, A. 2025. A modified sampling scheme for lot sentencing based on the third-generation capability index. Annals of Operations Research, 349, pp. 25–46. https://doi.org/10.1007/s10479-023-05328-z

Wu, J. U. and Yang, C. C. 2002. Estimated incapability index: Reliability and decision making with sample information, Quality and Reliability Engineering International, 18(2), pp. 141–147. https://doi.org/10.1002/qre.455

Yum, B. J. 2023. A bibliography of the literature on process capability indices (PCIs): 2010–2021, Part I: Books, review/overview papers, and univariate PCI-related papers, Quality and Reliability Engineering International, 39(4), pp. 1413–1438. https://doi.org/10.1002/qre.3258

Authors

Armin Darmawan
darmawanarmin@gmail.com (Primary Contact)
Darmawan, A. (2025). Innovative Quick-switching Sampling System for Product Quality Sentencing Integrated with Process Incapability Index Cpp. Quality Innovation Prosperity, 29(3), 157–177. https://doi.org/10.12776/qip.v29i3.2269

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