309
Views
4
CrossRef citations to date
0
Altmetric
Articles

Equivalences between multiple dependent state sampling, chain sampling, and control chart runs rules

ORCID Icon, ORCID Icon & ORCID Icon

References

  • Albassam, M., and M. Aslam. 2020. Monitoring non-conforming products using multiple dependent state sampling under indeterminacy-An application to juice industry. IEEE Access 8:172379–86. doi:10.1109/ACCESS.2020.3024569.
  • Albazli, A. O., M. Aslam, and S. A. Dobbah. 2020. A control chart for exponentially distributed characteristics using modified multiple dependent state sampling. Mathematical Problems in Engineering 2020:5682587. doi:10.1155/2020/5682587.
  • Aldosari, M. S., M. Aslam, and C.-H. Jun. 2017. A new attribute control chart using multiple dependent state repetitive sampling. IEEE Access 5:6192–7. doi:10.1109/ACCESS.2017.2687523.
  • Aldosari, M. S., M. Aslam, C. H. Jun, and K. Khan. 2018a. A new control chart for monitoring the process mean using successive sampling and multiple dependent state repetitive sampling. Technologies 6 (3):70. doi:10.3390/technologies6030070.
  • Aldosari, M. S., M. Aslam, N. Khan, L. Ahmad, and C.-H. Jun. 2018b. A new S2 control chart using multiple dependent state repetitive sampling. IEEE Access 6:49224–36. doi:10.1109/ACCESS.2018.2803040.
  • Aldosari, M. S., M. Aslam, N. Khan, and C.-H. Jun. 2018c. Design of a new variable Shewhart control chart using multiple dependent state repetitive sampling. Symmetry 10 (11):641. doi:10.3390/sym10110641.
  • Aldosari, M. S., M. Aslam, G. S. Rao, and C.-H. Jun. 2019. An attribute control chart for multivariate Poisson distribution using multiple dependent state repetitive sampling. Quality and Reliability Engineering International 35 (2):627–43.
  • Arshad, A., M. Azam, and M. Aslam. 2020. A successive sampling control chart using multiple dependent state sampling over two successive occasions. Quality and Reliability Engineering International 36 (2):577–91. doi:10.1002/qre.2592.
  • Arshad, A., M. Azam, M. Aslam, and C.-H. Jun. 2018. A control chart for monitoring process variation using multiple dependent state sampling. Communications in Statistics - Simulation and Computation 47 (8):2216–33. doi:10.1080/03610918.2017.1341524.
  • Aslam, M. 2019. Time truncated attribute control chart for the Weibull distribution using multiple dependent state sampling. Communications in Statistics - Simulation and Computation 48 (4):1219–28. doi:10.1080/03610918.2017.1408823.
  • Aslam, M., L. Ahmad, C.-H. Jun, and Arif, O. H. 2016. A control chart for COM–Poisson distribution using multiple dependent state sampling. Quality and Reliability Engineering International 32 (8):2803–12. doi:10.1002/qre.1965.
  • Aslam, M., O. H. Arif, and C. H. Jun. 2016. A new variable sample size control chart using MDS sampling. Journal of Statistical Computation and Simulation 86 (18):3620–8. doi:10.1080/00949655.2016.1178263.
  • Aslam, M., O. H. Arif, and C. H. Jun. 2017. A control chart for gamma distribution using multiple dependent state sampling. Industrial Engineering and Management Systems 16 (1):109–17. doi:10.7232/iems.2017.16.1.109.
  • Aslam, M., M. Azam, N. Khan, and C.-H. Jun. 2015. A control chart for an exponential distribution using multiple dependent state sampling. Quality & Quantity 49 (2):455–62. doi:10.1007/s11135-014-0002-2.
  • Aslam, M., S. Balamurali, P. Jeyadurga, and M. A. Raza. 2020a. Monitoring number of non-conforming items based on multiple dependent state repetitive sampling under truncated life tests. Communications in Statistics-Theory and Methods. To appear.
  • Aslam, M., S. Balamurali, J. Periyasamypandian, and N. Khan. 2021a. Designing of an attribute control chart based on modified multiple dependent state sampling using accelerated life test under Weibull distribution. Communications in Statistics – Simulation and Computation 50 (3):902–16. doi:10.1080/03610918.2019.1571606.
  • Aslam, M., R. A. Bantan, and N. Khan. 2019. Design of X-bar control chart using multiple dependent state sampling under indeterminacy environment. IEEE Access 7:152233–42. doi:10.1109/ACCESS.2019.2947598.
  • Aslam, M., N. Khan, and M. Albassam. 2019. Shewhart attribute and variable control charts using modified multiple dependent state sampling. Symmetry 11 (1):53. doi:10.3390/sym11010053.
  • Aslam, M., N. Khan, and O. H. Arif. 2017. The EWMA moving average control chart for exponential distribution using multiple dependent state sampling. Advances and Applications in Statistics 50 (1):51–71. doi:10.17654/AS050010051.
  • Aslam, M., N. Khan, and C.-H. Jun. 2014. A multiple dependent state control chart based on double control limits. Research Journal of Applied Sciences, Engineering and Technology 7 (21):4490–3. doi:10.19026/rjaset.7.825.
  • Aslam, M., A. Nazir, and C.-H. Jun. 2015. A new attribute control chart using multiple dependent state sampling. Transactions of the Institute of Measurement and Control 37 (4):569–76. doi:10.1177/0142331214549094.
  • Aslam, M., G. S. Rao, M. Saleem, R. A. K. Sherwani, and C. H. Jun. 2021b. Monitoring mortality caused by COVID-19 using gamma-distributed variables based on generalized multiple dependent state sampling. Computational and Mathematical Methods in Medicine 2021:6634887. doi:10.1155/2021/6634887.
  • Aslam, M., M. A. Raza, L. Ahmad, and C. H. Jun. 2019. Design of a t‐chart using generalized multiple dependent state sampling. Quality and Reliability Engineering International 35 (6):1789–802. doi:10.1002/qre.2475.
  • Aslam, M., M. A. Raza, and C. H. Jun. 2020. A new variable control chart under generalized multiple dependent state sampling. Communications in Statistics – Simulation and Computation 49 (9):2321–32. doi:10.1080/03610918.2018.1517213.
  • Aslam, M., A. Shafqat, G. S. Rao, J.-C. Malela-Majika, and S. C. Shongwe. 2020b. Multiple dependent state repetitive sampling-based control chart for Birnbaum–Saunders Distribution. Journal of Mathematics 2020:8539361. doi:10.1155/2020/8539361.
  • Balamurali, S, and P. Jeyadurga. 2019a. An attribute np control chart for monitoring mean life using multiple deferred state sampling based on truncated life tests. International Journal of Reliability, Quality and Safety Engineering 26 (1):1950004. doi:10.1142/S0218539319500049.
  • Balamurali, S, and P. Jeyadurga. 2019b. Economic design of an attribute control chart for monitoring mean life based on multiple deferred state sampling. Applied Stochastic Models in Business and Industry 35 (3):893–907. doi:10.1002/asmb.2419.
  • Balamurali, S, and C.-H. Jun. 2007. Multiple dependent state sampling plans for lot acceptance based on measurement data. European Journal of Operational Research 180 (3):1221–30. and doi:10.1016/j.ejor.2006.05.025.
  • Champ, C. W, and W. H. Woodall. 1987. Exact results for Shewhart control charts with supplementary runs rules. Technometrics 29 (4):393–9. doi:10.1080/00401706.1987.10488266.
  • Costa, B. S, and A. F. B. Costa. 2022. Comparing the performance of Cpk and X¯ control charts with the generalized multiple dependent state sampling supplementary signaling rule. IEEE Access. 10:2006–12.
  • Deming, W. E. 1986. Out of the crisis. Cambridge, MA: Massachusetts Institute of Technology, Center for Advanced Engineering Study.
  • Dodge, H. F. 1955. Chain sampling inspection plan. Industrial Quality Control 11:10–13. (Republished in 1977 in Journal of Quality Technology 9(3): 139–142).
  • García-Bustos, S., J. León, and M. N. Pastuizaca. 2021. Hotelling T2 chart using the generalized multiple dependent state sampling scheme. International Journal of Quality & Reliability Management 38 (6):1265–77. doi:10.1108/IJQRM-03-2020-0084.
  • García-Bustos, S., A. Plaza, and N. Cárdenas-Escobar. 2022. An optimal multivariate control chart for correlated Poisson variables using multiple dependent state sampling. Production Engineering 16 (1):145–55. doi:10.1007/s11740-021-01074-y.
  • Khan, N., L. Ahmad, M. Azam, M. Aslam, and F. Smarandache. 2021a. Control chart for monitoring variation using multiple dependent state sampling under neutrosophic statistics. In Neutrosophic Operational Research, 55–70. Springer, Cham.
  • Khan, N., L. Ahmad, G. S. Rao, M. Aslam, and A. H. AL-Marshadi. 2021b. A new X-bar control chart for multiple dependent state sampling using neutrosophic exponentially weighted moving average statistics with application to monitoring road accidents and road injuries. International Journal of Computational Intelligence Systems 14 (1):182. doi:10.1007/s44196-021-00033-w.
  • Khan, N, and M. Aslam. 2019. Design of an EWMA adaptive control chart using MDS sampling. Journal of Statistics and Management Systems 22 (3):535–55. doi:10.1080/09720510.2018.1564206.
  • Khan, N, and M. Aslam. 2022. Monitoring road accident and injury using indeterminacy based Shewhart control chart using multiple dependent state repetitive sampling. International Journal of Injury Control and Safety Promotion. To appear. doi:10.1080/17457300.2022.2029911.
  • Khan, N., M. Aslam, H. Lee, L. Ahmad, and C. H. Jun. 2021c. Improving the efficiency of various Shewhart control charts. Journal of Statistics and Management Systems 24 (8):1785–800. doi:10.1080/09720510.2021.1920666.
  • Khan, N., T. Yasmin, M. Aslam, and C.-H. Jun. 2018. On the performance of modified EWMA charts using resampling schemes. Operations Research and Decisions 3:30–43.
  • Knoth, S., N. A. Saleh, M. A. Mahmoud, W. H. Woodall, and V. G. Tercero-Gómez. 2022. A critique of a variety of “memory-based” process monitoring methods. Journal of Quality Technology. To appear. doi:10.1080/00224065.2022.2034487.
  • Koutras, M. V., S. Bersimis, and P. E. Maravelakis. 2007. Statistical process control using Shewhart control charts with supplementary runs rules. Methodology and Computing in Applied Probability 9 (2):207–24. doi:10.1007/s11009-007-9016-8.
  • Krishnan, S. M, and O. S. Deepa. 2019. Control charts for multiple dependent state repetitive sampling plan using fuzzy Poisson distribution. International Journal of Civil Engineering and Technology 10 (1):509–19.
  • Montgomery, D. C. 2013. Introduction to statistical quality control, 7th ed. New York: John Wiley & Sons, Inc.
  • Naveed, M., M. Azam, N. Khan, and M. Aslam. 2020. Designing a control chart of extended EWMA statistic based on multiple dependent state sampling. Journal of Applied Statistics 47 (8):1482–92. doi:10.1080/02664763.2019.1676405.
  • Nawaz, T., M. A. Raza, and D. Han. 2020. Generalized multiple dependent state optimal control charts under ranked set sampling for monitoring process mean. Quality and Reliability Engineering International 36 (5):1494–512. doi:10.1002/qre.2640.
  • Page, E. S. 1955. Control charts with warning lines. Biometrika 42 (1-2):243–57. doi:10.1093/biomet/42.1-2.243.
  • Palm, A. C. 1990. Tables of run length percentiles for determining the sensitivity of Shewhart control charts for averages with supplementary runs rules. Journal of Quality Technology 22 (4):289–98. doi:10.1080/00224065.1990.11979261.
  • Rao, G. S., M. A. Raza, M. Aslam, A. H. Al-Marshadi, and C. H. Jun. 2019. A variable control chart based on process capability index under generalized multiple dependent state sampling. IEEE Access. 7:34031–44. doi:10.1109/ACCESS.2019.2903892.
  • Raza, M. A, and M. Aslam. 2019. Design of control charts for multivariate Poisson distribution using generalized multiple dependent state sampling. Quality Technology & Quantitative Management 16 (6):629–50. doi:10.1080/16843703.2018.1497935.
  • Saleh, N. A., M. A. Mahmoud, W. H. Woodall, and S. Knoth. 2022. A review and critique of auxiliary information-based process monitoring methods. Quality Technology and Quantitative Management. To appear.
  • Shawky, A. I., M. Aslam, and K. Khan. 2020. Multiple dependent state sampling-based chart using belief statistic under neutrosophic statistics. Journal of Mathematics 2020:1–14. doi:10.1155/2020/7680286.
  • Shmueli, G, and A. Cohen. 2003. Run-length distribution for control charts with runs and scans rules. Communications in Statistics – Theory and Methods 32 (2):475–95. doi:10.1081/STA-120018196.
  • Soundararajan, V, and R. Vijayaraghavan. 1990. Construction and selection of multiple dependent (deferred) state sampling plan. Journal of Applied Statistics 17 (3):397–409. doi:10.1080/02664769000000012.
  • Vardeman, S. B. 1986. The legitimate role of inspection in modern SQC. The American Statistician 40 (4):325–8. doi:10.2307/2684620.
  • Wan, Q. 2020. Economic-statistical design of integrated model of VSI control chart and maintenance incorporating multiple dependent state sampling. IEEE Access. 8:87609–20. doi:10.1109/ACCESS.2020.2993024.
  • Western Electric. 1956. Statistical quality control handbook. AT& T, Indianapolis, IN.
  • Wortham, A. W, and R. C. Baker. 1971. Deferred state sampling procedures. Annals of Assurance Science 65–70.
  • Wortham, A. W, and R. C. Baker. 1976. Multiple deferred state sampling inspection. The International Journal of Production Research 14 (6):719–31. doi:10.1080/00207547608956391.
  • Wortham, A. W, and J. M. Mogg. 1970. Dependent stage sampling inspection. International Journal of Production Research 8 (4):385–95. doi:10.1080/00207547008929855.
  • Yan, A., S. Liu, and X. Dong. 2016. Designing a multiple dependent state sampling plan based on the coefficient of variation. SpringerPlus 5 (1):1447. doi:10.1186/s40064-016-3087-3.
  • Zacharia, A, and J. Ravichandran. 2021. Six Sigma-based RS, MDSS and MDSRS control charts. International Journal of Six Sigma and Competitive Advantage 13 (4):435–55. doi:10.1504/IJSSCA.2021.120576.
  • Zhou, W., Q. Wan, Y. Zheng, and Y-w Zhou. 2017. A joint-adaptive np control chart with multiple dependent state sampling scheme. Communications in Statistics - Theory and Methods 46 (14):6967–79. doi:10.1080/03610926.2015.1132323.

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.