371
Views
39
CrossRef citations to date
0
Altmetric
Original Articles

A novel approach to deriving the lower confidence limit of indices Cpu, Cpl, and Cpk in assessing process capability

, &
Pages 4963-4981 | Received 01 Mar 2016, Accepted 08 Jan 2017, Published online: 20 Jan 2017

References

  • Anis, M. Z. 2008. “Basic Process Capability Indices: An Expository Review.” International Statistical Review 76 (3): 347–367.10.1111/insr.2008.76.issue-3
  • Balamurali, S., and M. Kalyanasundaram. 2002. “Bootstrap Lower Confidence Limits for the Process Capability Indices Cp, Cpk and Cpm.” International Journal of Quality and Reliability Management 19 (8/9): 1088–1097.10.1108/02656710210442875
  • Bissell, A. F. 1990. “How Reliable is Your Capability Index?” Applied Statistics 39 (3): 331–340.10.2307/2347383
  • Boyles, R. A. 1991. “The Taguchi Capability Index.” Journal of Quality Technology 23 (1): 17–26.
  • Chang, T. C., K. J. Wang, and K. S. Chen. 2014a. “Capability Performance Analysis for Processes with Multiple Characteristics Using Accuracy and Precision.” Proceedings of the Institution of Mechanical Engineers Part B – Journal of Engineering Manufacture 228 (5): 766–776.10.1177/0954405413508118
  • Chang, T. C., K. J. Wang, and K. S. Chen. 2014b. “Sputtering Process Assessment of ITO Film for Multiple Quality Characteristics with One-sided and Two-sided Specifications.” Journal of Testing and Evaluation 42 (1): 196–203.
  • Chatterjee, M., and A. K. Chakraborty. 2015. “Distributions and Process Capability Control Charts for CPU and CPL Using Subgroup Information.” Communications in Statistics – Theory and Methods 44 (20): 4333–4353.10.1080/03610926.2013.851233
  • Chen, H. T., and K. S. Chen. 2016. “Assessing the Assembly Quality of a T-bar Ceiling Suspension by Using an Advanced Multi-process Performance Analysis Chart with Asymmetric Tolerance.” European Journal of Industrial Engineering 10 (2): 264–283.10.1504/EJIE.2016.075857
  • Chen, K. S., H. T. Chen, and C. H. Wang. 2012. “A Study of Process Quality Assessment for Golf Club-shaft in Leisure Sport Industries.” Journal of Testing and Evaluation 40 (3): 512–519.
  • Chen, K. S., L. Y. Ouyang, C. H. Hsu, and C. C. Wu. 2009. “The Communion Bridge to Six Sigma and Process Capability Indices.” Quality & Quantity 43 (3): 463–469.10.1007/s11135-007-9123-1
  • Chen, K. S., C. H. Wang, and H. T. Chen. 2006. “A MAIC Approach to TFT-LCD Panel Quality Improvement.” Microelectronics Reliability 46 (7): 1189–1198.10.1016/j.microrel.2005.10.003
  • Chen, K. S., C. C. Wang, C. H. Wang, and C. F. Huang. 2010. “Application of RPN Analysis to Parameter Optimization of Passive Components.” Microelectronics Reliability 50 (12): 2012–2019.10.1016/j.microrel.2010.06.014
  • Chou, Y. M., D. B. Owen, and S. A. Borrego. 1990. “Lower Confidence Limits on Process Capability Indices.” Journal of Quality Technology 22 (3): 223–229.
  • Franklin, L. A., and G. S. Wasserman. 1991. “Bootstrap Confidence Interval Estimates of Cpk: An Introduction.” Communications in Statistics – Simulation and Computation 20 (1): 231–242.10.1080/03610919108812950
  • Franklin, L. A., and G. S. Wasserman. 1992. “Bootstrap Lower Confidence Limits for Process Capability Indices.” Journal of Quality Technology 24 (4): 196–210.
  • Heavlin, W. D. 1988. Statistical Properties of Capability Indices. Technical Report 320. Sunnyvale, CA: Technical Library, Advanced Micro Devices.
  • Huang, C. F., K. S. Chen, S. H. Sheu, and T. S. Hsu. 2010. “Enhancement of Axle Bearing Quality in Sewing Machines Using Six Sigma.” Proceedings of the Institution of Mechanical Engineers Part B – Journal of Engineering Manufacture 224 (10): 1581–1590.10.1243/09544054JEM1769
  • Hubele, N. F., and K. Vännman. 2004. “The Effect of Pooled and Un-pooled Variance Estimators on Cpm When Using Subsamples.” Journal of Quality Technology 36 (2): 207–222.
  • Kane, V. E. 1986. “Process Capability Indices.” Journal of Quality Technology 18 (1): 41–52.
  • Kirmani, S. N. U. A., K. Kocherlakota, and S. Kocherlakota. 1991. “Estimation of Σ and the Process Capability Index Based on Subsamples.” Communications in Statistics – Theory and Methods 20 (1): 275–291.10.1080/03610929108830496
  • Kotz, S., and N. L. Johnson. 1993. Process Capability Indices. London: Chapman and Hall.10.1007/978-1-4899-4465-8
  • Kotz, S., and N. L. Johnson. 2002. “Process Capability Indices – A Review, 1992–2000.” Journal of Quality Technology 34 (1): 2–19.
  • Kotz, S., and C. R. Lovelace. 1998. Process Capability Indices in Theory and Practice. London: Arnold.
  • Kushler, R. H., and P. Hurley. 1992. “Confidence Bounds for Capability Indices.” Journal of Quality Technology 24 (4): 188–195.
  • Li, H., D. B. Owen, and S. A. Borrego. 1990. “Lower Confidence Limits on Process Capability Indices Based on the Range.” Communications in Statistics – Simulation and Computation 19 (1): 1–24.
  • Montgomery, D. C. 2012. Introduction to Statistical Quality Control. 7th ed. New York, NY: Wiley.
  • Nagata, Y., and H. Nagahata. 1992. “Approximation Formulas for the Confidence Intervals of Process Capability Indices.” Okayama Economic Review 25: 301–314.
  • Ouyang, L. Y., K. S. Chen, C. M. Yang, and C. H. Hsu. 2014. “Using a QCAC–Entropy–TOPSIS Approach to Measure Quality Characteristics and Rank Improvement Priorities for All Substandard Quality Characteristics.” International Journal of Production Research 52 (10): 3110–3124.10.1080/00207543.2013.865092
  • Palmer, K., and K. L. Tsui. 1999. “A Review and Interpretations of Process Capability Indices.” Annals of Operations Research 87: 31–47.10.1023/A:1018993221702
  • Pearn, W. L., and K. S. Chen. 1997. “A Practical Implementation of the Process Capability Index Cpk.” Quality Engineering 9 (4): 721–737.10.1080/08982119708919094
  • Pearn, W. L., C. W. Wu, and H. C. Chuang. 2005. “Procedures for Testing Manufacturing Precision Cp Based on (X̄, R) or (X̄, S) Control Chart Samples.” The International Journal of Advanced Manufacturing Technology 25 (5–6): 598–607.10.1007/s00170-003-1870-0
  • Pearn, W. L., C. C. Wu, and C. H. Wu. 2015. “Estimating Process Capability Index Cpk: Classical Approach versus Bayesian Approach.” Journal of Statistical Computation and Simulation 85 (10): 2007–2021.10.1080/00949655.2014.914211
  • Perakis, M., and E. Xekalaki. 2016. “On the Relationship between Process Capability Indices and the Proportion of Conformance.” Quality Technology and Quantitative Management 13 (2): 207–220.10.1080/16843703.2016.1169696
  • Porter, Leslie J., and John S. Oakland. 1991. “Process Capability Indices – An Overview of Theory and Practice.” Quality and Reliability Engineering International 7 (6): 437–448.10.1002/(ISSN)1099-1638
  • Shu, M. H., and K. S. Chen. 2005. “Estimating Process Capability Indices Based on Subsamples for Asymmetric Tolerances.” Communications in Statistics – Theory and Methods 34 (2): 485–505.10.1081/STA-200045863
  • Spiring, F., B. Leung, S. Cheng, and A. Yeung. 2003. “A Bibliography of Process Capability Papers.” Quality and Reliability Engineering International 19 (5): 445–460.10.1002/(ISSN)1099-1638
  • Stoumbos, Z. G. 2002. “Process Capability Indices: Overview and Extensions.” Nonlinear Analysis: Real World Applications 3 (2): 191–210.10.1016/S1468-1218(01)00022-0
  • Sung, W. P., K. S. Chen, and M. H. Shih. 2004. “Quantity Analysis for Welding Performance in Manufacturing Processes.” The International Journal of Advanced Manufacturing Technology 23 (9–10): 707–711.10.1007/s00170-003-1651-9
  • Vännman, K., and N. F. Hubele. 2003. “Distributional Properties of Estimated Capability Indices Based on Subsamples.” Quality and Reliability Engineering International 19 (2): 111–128.10.1002/qre.v19:2
  • Wang, F. K. 2016. “Process Yield for Multiple Stream Processes with Individual Observations and Subsamples.” Quality and Reliability Engineering International 32 (2): 335–344.10.1002/qre.v32.2
  • Wang, C. C., K. S. Chen, C. H. Wang, and P. H. Chang. 2011. “Application of 6-sigma Design System to Developing an Improvement Model for Multi-process Multi-characteristic Product Quality.” Proceedings of the Institution of Mechanical Engineers Part B – Journal of Engineering Manufacture 225 (7): 1205–1216.10.1177/2041297510393464
  • Wu, C. W. 2007. “An Alternative Approach to Test Process Capability for Unilateral Specification with Subsamples.” International Journal of Production Research 45 (22): 5397–5415.10.1080/00207540600871251
  • Wu, C. W. 2008. “Assessing Process Capability Based on Bayesian Approach with Subsamples.” European Journal of Operational Research 184 (1): 207–228.10.1016/j.ejor.2006.10.054
  • Wu, C. W., W. L. Pearn, and S. Kotz. 2009. “An Overview of Theory and Practice on Process Capability Indices for Quality Assurance.” International Journal of Production Economics 117 (2): 338–359.10.1016/j.ijpe.2008.11.008
  • Yu, K. T., and K. S. Chen. 2016. “Testing and Analysing Capability Performance for Products with Multiple Characteristics.” International Journal of Production Research 54 (21): 6633–6643.10.1080/00207543.2016.1203469
  • Yum, B. J., and K. W. Kim. 2011. “A Bibliography of the Literature on Process Capability Indices: 2000–2009.” Quality and Reliability Engineering International 27 (3): 251–268.10.1002/qre.v27.3

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.