Abstract
Process capability indices (PCIs) are effective quality tools for evaluating process performance in the manufacturing industry. Over a period of more than 15 years, sampling plans based on PCIs have been developed for lot sentencing. Sampling plans that involve repetitive sampling or multiple dependent (deferred) state sampling achieve significant sample size reductions relative to sampling plans that involve single sampling. In this study, we combine the concepts of repetitive and multiple dependent state sampling to propose a new variable sampling plan based on one-sided PCIs. The proposed sampling plan minimizes the average sample number while satisfying the principle of two points on the operating characteristic curve. To demonstrate the performance of the proposed sampling plan, a comparison with existing homogeneous sampling plans is performed.
Similar content being viewed by others
References
Pearn WL, Wu CW (2006) Critical acceptance values and sample sizes of a variables sampling plan for very low fraction of defectives. Omega - Int J Manag Sci 34(1):90–101
Pearn WL, Wu CW (2006) Variables sampling plans with PPM fraction of defectives and process loss consideration. J Oper Res Soc 57:450–459
Pearn WL, Wu CW (2007) An effective decision making method for product acceptance. Omega Int J Manag Sci 35(1):12–21
Wu CW, Pearn WL (2008) A variables sampling plan based on Cpmk for product acceptance determination. Eur J Oper Res 184(2):549–560
Negrin I, Parmet Y, Schechtman E (2009) Developing a sampling plan based on Cpk. Qual Eng 21:306–331
Yen CH, Chang CH (2009) Designing Variables Sampling Plans with Process Loss Consideration. Commun Stat Simul Comput 38:1579–1591
Aslam M, Yen CH, Jun CH (2011) Variable repetitive group sampling plans with process loss consideration. J Stat Comput Simul 81(11):1417–1432
Wu CW (2012) An efficient inspection scheme for variables based on Taguchi capability index. Eur J Oper Res 223(1):116–122
Sherman RE (1965) Design and evaluation of a repetitive group sampling plan. Technometrics 7(1):11–21
Balamurali S, Park H, Jun CH, Kim KJ, Lee J (2005) Designing of variables repetitive group sampling plan involving minimum average sample number. Commun Stat-Simul Comput 34(3):799–809
Balamurali S, Jun CH (2006) Repetitive group sampling procedure for variables inspection. J Appl Stat 33(3):327–338
Aslam M, Wu CW, Jun CH, Azam M, Itay N (2013) Developing a variables repetitive group sampling plan based on process capability index Cpk with unknown mean and variance. J Stat Comput Simul 83(8):1507–1517
Liu SW, Wu CW (2014) Design and construction of a variables repetitive group sampling plan for unilateral specification limit. Commun Stat-Simul Comput 43(8):1866–1878
Wu CW, Aslam M, Chen JC, Jun CH (2015) A repetitive group sampling plan by variables inspection for product acceptance determination. Eur J Ind Eng 9(3):308–326
Yen CH, Chang CH, Aslam M (2015) Repetitive variable acceptance sampling plan for one-sided specification. J Stat Comput Simul 85(6):1102–1116
Yen CH, Lee CC, Lo KH, Shiue YR, Li SH (2020) A Rectifying Acceptance Sampling Plan Based on the Process Capability Index. Mathematics 8(1):141
Wortham AW, Baker RC (1976) Multiple deferred state sampling inspection. Int J Prod Res 14(6):719–731
Vaerst R (1982) A procedure to construct multiple deferred state sampling plan. Methods Oper Res 37:477–485
Soundararajan V, Vijayaraghavan R (1990) Construction and selection of multiple dependent (deferred) state sampling plan. J Appl Stat 17(3):397–409
Balamurali S, Jun CH (2007) Multiple dependent state sampling plans for lot acceptance based on measurement data. Eur J Oper Res 180(3):1221–1230
Aslam M, Azam M, Jun CH (2013) Multiple dependent state sampling plan based on process capability index. J Test Eval 41(2):340–346
Aslam M, Yen CH, Chang CH, Jun CH (2014) Multiple dependent state variable sampling plans with process loss consideration. Int J Adv Manuf Technol 71(5–8):1337–1343
Aslam M, Balamurali S, Azam M, Rao GS, Jun CH (2015) Mixed multiple dependent state sampling plans based on process capability index. J Test Eval 43(1):171–178
Wu CW, Liu SW, Lee AH (2015) Design and construction of a variables multiple dependent state sampling plan based on process yield. Eur J Ind Eng 9(6):819–838
Wu CW, Lee AH, Chang Chien CC (2017) A variables multiple dependent state sampling plan based on a one-sided capability index. Qual Eng 29(4):719–729
Aslam M, Yen CH, Chang CH, Al-Marshadi AH, Jun CH (2019) A Multiple Dependent State Repetitive Sampling Plan Based on Performance Index for Lifetime Data with Type II Censoring. IEEE Access 7:49377–49391
Lee AH, Wu CW, Chen YW (2016) A modified variables repetitive group sampling plan with the consideration of preceding lots information. Ann Oper Res 238(1–2):355–373
Lee AH, Wu CW, Wang ZH (2018) The construction of a modified sampling scheme by variables inspection based on the one-sided capability index. Comput Ind Eng 122:87–94
Wang ZH, Wu CW (2019) An improved sampling plan by variables inspection with consideration of process yield and quality loss. J Stat Comput Simul 89(13):2395–2409
Yen CH, Chang CH, Aslam M, Jun CH (2018) Multiple dependent state repetitive sampling plans based on one-sided process capability indices. Commun Stat-Theory Methods 47(6):1403–1412
Kane KE (1986) Process capability indices. J Qual Technol 18(1):41–52
Chou YM, Owen DB (1989) On the distribution of the estimated process capability indices. Commun Stat Theory Methods 18(12):4549–4560
Funding
This work was supported by Ministry of Science and Technology of Taiwan (Grant numbers MOST 111–2221-E-211–001).
Author information
Authors and Affiliations
Contributions
Professor Ching-Ho Yen contributed to the study conception and design. Material preparation, data collection and analysis were performed by Chia-Hao Chang and Chun-Chia Lee. The first draft of the manuscript was written by Ching-Ho Yen & Chia-Hao Chang and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.”
Corresponding author
Ethics declarations
Ethics approval
Not applicable.
Consent to participate
Not applicable.
Consent for publication
Not applicable.
Conflict of interest
The author declare no competing interests.
Additional information
Publisher's note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Yen, CH., Chang, CH. & Lee, CC. A new multiple dependent state sampling plan based on one-sided process capability indices. Int J Adv Manuf Technol 126, 3297–3309 (2023). https://doi.org/10.1007/s00170-023-11310-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-023-11310-7