How to cite this paper
Shongwe, S & Malela-Majika, J. (2020). A new variable sampling size and interval synthetic and runs-rules schemes to monitor the process mean of autocorrelated observations with measurement errors.International Journal of Industrial Engineering Computations , 11(4), 607-626.
Refrences
Adeoti, O.A., & Malela-Majika, J.-C. (2020). Double exponentially weighted moving average control chart with supplementary runs-rules. Quality Technology & Quantitative Management, 17(2), 149-172.
Alwan, L.C., & Radson, D. (1992). Time-series investigation of subsample mean chart. IIE Transactions, 24(5), 66-80.
Aslam, M., & Ali, M.M. (2019). Testing and Inspection using acceptance sampling plans. Springer Nature Pte Ltd., Singapore. DOI: 10.1007/978-981-13-9306-8.
Celano, G., Costa, A., & Fichera, S. (2006). Statistical design of variable sample size and sampling interval X ̅ control charts with runs rules. International Journal of Advanced Manufacturing Technology, 28, 966-977.
Chew, X.Y., Khaw, K.W., & Yeong, W.C. (2020). The efficiency of run rules schemes for the multivariate coefficient of variation: a Markov chain approach. Journal of Applied Statistics, 47(3), 460-480.
Costa, A.F.B. (1997). X ̅ chart with variable sample size and sampling interval. Journal of Quality Technology, 29(2), 197-204.
Costa, A.F.B., & Castagliola, P. (2011). Effect of measurement error and autocorrelation on the X ̅ chart. Journal of Applied Statistics, 38(4), 661-673.
Costa, A.F.B., & Machado, M.A.G. (2016). A side-sensitive synthetic chart combined with a VSS X ̅ chart. Computers & Industrial Engineering, 91, 205-214.
Davis, R.B., & Woodall, W.H. (2002). Evaluating and improving the synthetic control chart. Journal of Quality Technology, 34(2), 200-208.
Fu, J.C., & Lou, W.Y.W. (2003). Distribution Theory of Runs and Patterns and Its Applications: A Finite Markov Chain Imbedding Approach. World Scientific Publishing, Singapore.
Haq, A. (2019). A new nonparametric synthetic EWMA control chart for monitoring process mean. Communications in Statistics – Simulation and Computation, 48(6), 1665-1676.
Haq, A., & Khoo, M.B.C. (2019). A synthetic double sampling control chart for process mean using auxiliary information. Quality and Reliability Engineering International, 35(6), 1803-1825.
Hu, X.L., & Sun, J. (2015). Synthetic X ̅ chart for AR(1) autocorrelated processes. Proceedings of the 27th Chinese Control and Decision Conference, 7-12. DOI: 10.1109/CCDC.201527161658.
Jensen, W.A., Bryce, G.R., Reynolds Jr., M.R. (2008). Design issues for adaptive control charts. Quality and Reliability Engineering International, 24(4), 429-445.
Khaw, K.W., Chew, X.Y., Yeong, W.C., & Lim, S.L. (2019). Optimal design of the synthetic control chart for monitoring the multivariate coefficient of variation. Chemometrics and Intelligent Laboratory Systems, 186, 33-40.
Khoo, M.B.C., See, M.Y., Chong, N.L., & Teoh, W.L. (2019). An improved variable sample size and sampling interval S control chart. Quality and Reliability Engineering International, 35(1), 392-404.
Koutras, M.V., Bersimis, S., & Maravelakis, P.E. (2007). Statistical process control using Shewhart control charts with supplementary runs rules. Methodology and Computing in Applied Probability, 9(2), 207-224.
Lee, M.H., & Khoo, M.B.C. (2018). Economic-statistical design of control chart with runs rules for correlation within sample. Communications in Statistics – Simulation and Computation, 47(10), 2849-2864.
Linna, K.W., & Woodall, W.H. (2001). Effect of measurement error on Shewhart control charts. Journal of Quality Technology, 33(2), 213-222.
Mabude, K., Malela-Majika, J.-C., & Shongwe S.C. (2020). A new distribution-free generally weighted moving average monitoring scheme for detecting unknown shifts in the process location. International Journal of Industrial Engineering Computations, 11(2), 235-254.
Maleki, M.R., Amiri, A., & Castagliola, P. (2017). Measurement errors in statistical process monitoring: A literature review. Computers & Industrial Engineering, 103, 316-329.
Malela-Majika, J.-C. (2019). Modified side-sensitive synthetic double sampling monitoring scheme for simultaneously monitoring the process mean and variability. Computers and Industrial Engineering, 130, 798-814.
Maravelakis, P.E., Castagliola, P., & Khoo, M.B.C. (2019). Run length properties of run rules EWMA chart using integral equations. Quality Technology & Quantitative Management, 16(2), 129-139.
Mehmood, R., Lee, M.H., Hussain, S., & Riaz, M. (2019). On efficient construction and evaluation of runs rules based X ̅ control chart for known and unknown parameters under different distributions. Quality and Reliability Engineering International, 35(2), 582-599.
Noorossana, R., Maryam, S.A., & Deheshvar, A. (2015). Combined variable sample size, sampling interval and double sampling (CVSSIDS) adaptive control charts. Communications in Statistics – Theory and Methods, 44(6), 1255-1269.
Noorossana, R., Deheshvar, A., & Maryam, S.A. (2016). A modified variable sample size and sampling interval control chart. International Journal of Advanced Manufacturing Technology, 84, 1303‐1312.
Prabhu, S.S., Montgomery, D.C., & Runger, G.C. (1994). A combined adaptive sample size and sampling interval X ̅ control scheme. Journal of Quality Technology, 26(3), 164-176.
Prajapati, D.R., & Singh, S. (2012). Control charts for monitoring the autocorrelated process parameters: A literature review. International Journal of Productivity and Quality Management, 10(2), 207-249.
Psarakis, S. (2015). Adaptive control charts: Recent developments and extensions. Quality and Reliability Engineering International, 31(7), 1265-1280.
Rakitzis, A.C., Chakraborti, S., Shongwe, S.C., Graham, M.A., & Khoo, M.B.C. (2019). An overview of synthetic-type control charts: Techniques and Methodology. Quality and Reliability Engineering International, 35(7), 2081-2096.
Raza, M.A., Nawaz, T., & Han, D. (2019). On designing new optimal synthetic Tukey’s control charts. Journal of Statistical Computation and Simulation, 89(12), 2218-2238.
Sabahno, H., & Amiri, A. (2017). The effect of measurement errors on the performance of variable sample size and sampling interval X ̅ control chart. International Journal of Engineering, Transactions A: Basics, 30(7), 995-1004.
Shongwe S.C., & Graham, M.A. (2016). On the performance of Shewhart-type synthetic and runs-rules charts combined with an X ̅ chart. Quality and Reliability Engineering International, 32(4), 1357-1379.
Shongwe, S.C., Malela-Majika, J.-C., Castagliola, P., & Molahloe, T. (2019a). Side-sensitive synthetic and runs-rules charts for monitoring AR(1) processes with skipping sampling strategies. Communications in Statistics – Theory and Methods, DOI: 10.1080/03610926.2019.1596284.
Shongwe, S.C., Malela-Majika, J.-C., & Rapoo, E.M. (2019b). One-sided and two-sided w-of-w runs-rules schemes: An overall performance perspective and the unified run-length derivations. Journal of Probability and Statistics, Article ID: 6187060, 1-20.
Shongwe, S.C., & Malela-Majika, J.-C. (2019). Shewhart-type monitoring schemes with supplementary w-of-w runs-rules to monitor the mean of autocorrelated samples. Communications in Statistics - Simulation and Computation, DOI: 10.1080/03610918.2019.1650180.
Shongwe, S.C., Malela-Majika, J.-C., and Castagliola, P. (2020a). The new synthetic and runs-rules schemes to monitor the process mean of autocorrelated observations with measurement errors. Communications in Statistics – Theory and Methods, DOI: 10.1080/03610926.2020.1737125.
Shongwe, S.C., Malela-Majika, J.-C., and Castagliola, P. (2020b). On monitoring the process mean of autocorrelated observations with measurement errors using the w-of-w runs-rules scheme. Quality and Reliability Engineering International, 36(3), 1144-1160.
Singh, S., & Prajapati, D.R. (2014). Effect of warning limits on the performance of the X ̅ chart under autocorrelation. International Journal of Productivity and Quality Management, 13(2), 235-250.
Tran, P.H., Tran, K.P., & Rakitzis, A.C. (2019). A synthetic median control chart for monitoring the process mean with measurement errors. Quality and Reliability Engineering International, 35(4), 1100-1116.
Wu, Z., & Spedding, T.A. (2000). A synthetic control chart for detecting small shifts in the process mean. Journal of Quality Technology, 32(1), 32-38.
Yu, S., Wan, Q., Wei, Z., & Tang, T. (2016). Statistical design of an adaptive synthetic X ̅ control chart with run rule on service and management operation. Scientific Programming, Article ID: 9629170, 1-7.
Alwan, L.C., & Radson, D. (1992). Time-series investigation of subsample mean chart. IIE Transactions, 24(5), 66-80.
Aslam, M., & Ali, M.M. (2019). Testing and Inspection using acceptance sampling plans. Springer Nature Pte Ltd., Singapore. DOI: 10.1007/978-981-13-9306-8.
Celano, G., Costa, A., & Fichera, S. (2006). Statistical design of variable sample size and sampling interval X ̅ control charts with runs rules. International Journal of Advanced Manufacturing Technology, 28, 966-977.
Chew, X.Y., Khaw, K.W., & Yeong, W.C. (2020). The efficiency of run rules schemes for the multivariate coefficient of variation: a Markov chain approach. Journal of Applied Statistics, 47(3), 460-480.
Costa, A.F.B. (1997). X ̅ chart with variable sample size and sampling interval. Journal of Quality Technology, 29(2), 197-204.
Costa, A.F.B., & Castagliola, P. (2011). Effect of measurement error and autocorrelation on the X ̅ chart. Journal of Applied Statistics, 38(4), 661-673.
Costa, A.F.B., & Machado, M.A.G. (2016). A side-sensitive synthetic chart combined with a VSS X ̅ chart. Computers & Industrial Engineering, 91, 205-214.
Davis, R.B., & Woodall, W.H. (2002). Evaluating and improving the synthetic control chart. Journal of Quality Technology, 34(2), 200-208.
Fu, J.C., & Lou, W.Y.W. (2003). Distribution Theory of Runs and Patterns and Its Applications: A Finite Markov Chain Imbedding Approach. World Scientific Publishing, Singapore.
Haq, A. (2019). A new nonparametric synthetic EWMA control chart for monitoring process mean. Communications in Statistics – Simulation and Computation, 48(6), 1665-1676.
Haq, A., & Khoo, M.B.C. (2019). A synthetic double sampling control chart for process mean using auxiliary information. Quality and Reliability Engineering International, 35(6), 1803-1825.
Hu, X.L., & Sun, J. (2015). Synthetic X ̅ chart for AR(1) autocorrelated processes. Proceedings of the 27th Chinese Control and Decision Conference, 7-12. DOI: 10.1109/CCDC.201527161658.
Jensen, W.A., Bryce, G.R., Reynolds Jr., M.R. (2008). Design issues for adaptive control charts. Quality and Reliability Engineering International, 24(4), 429-445.
Khaw, K.W., Chew, X.Y., Yeong, W.C., & Lim, S.L. (2019). Optimal design of the synthetic control chart for monitoring the multivariate coefficient of variation. Chemometrics and Intelligent Laboratory Systems, 186, 33-40.
Khoo, M.B.C., See, M.Y., Chong, N.L., & Teoh, W.L. (2019). An improved variable sample size and sampling interval S control chart. Quality and Reliability Engineering International, 35(1), 392-404.
Koutras, M.V., Bersimis, S., & Maravelakis, P.E. (2007). Statistical process control using Shewhart control charts with supplementary runs rules. Methodology and Computing in Applied Probability, 9(2), 207-224.
Lee, M.H., & Khoo, M.B.C. (2018). Economic-statistical design of control chart with runs rules for correlation within sample. Communications in Statistics – Simulation and Computation, 47(10), 2849-2864.
Linna, K.W., & Woodall, W.H. (2001). Effect of measurement error on Shewhart control charts. Journal of Quality Technology, 33(2), 213-222.
Mabude, K., Malela-Majika, J.-C., & Shongwe S.C. (2020). A new distribution-free generally weighted moving average monitoring scheme for detecting unknown shifts in the process location. International Journal of Industrial Engineering Computations, 11(2), 235-254.
Maleki, M.R., Amiri, A., & Castagliola, P. (2017). Measurement errors in statistical process monitoring: A literature review. Computers & Industrial Engineering, 103, 316-329.
Malela-Majika, J.-C. (2019). Modified side-sensitive synthetic double sampling monitoring scheme for simultaneously monitoring the process mean and variability. Computers and Industrial Engineering, 130, 798-814.
Maravelakis, P.E., Castagliola, P., & Khoo, M.B.C. (2019). Run length properties of run rules EWMA chart using integral equations. Quality Technology & Quantitative Management, 16(2), 129-139.
Mehmood, R., Lee, M.H., Hussain, S., & Riaz, M. (2019). On efficient construction and evaluation of runs rules based X ̅ control chart for known and unknown parameters under different distributions. Quality and Reliability Engineering International, 35(2), 582-599.
Noorossana, R., Maryam, S.A., & Deheshvar, A. (2015). Combined variable sample size, sampling interval and double sampling (CVSSIDS) adaptive control charts. Communications in Statistics – Theory and Methods, 44(6), 1255-1269.
Noorossana, R., Deheshvar, A., & Maryam, S.A. (2016). A modified variable sample size and sampling interval control chart. International Journal of Advanced Manufacturing Technology, 84, 1303‐1312.
Prabhu, S.S., Montgomery, D.C., & Runger, G.C. (1994). A combined adaptive sample size and sampling interval X ̅ control scheme. Journal of Quality Technology, 26(3), 164-176.
Prajapati, D.R., & Singh, S. (2012). Control charts for monitoring the autocorrelated process parameters: A literature review. International Journal of Productivity and Quality Management, 10(2), 207-249.
Psarakis, S. (2015). Adaptive control charts: Recent developments and extensions. Quality and Reliability Engineering International, 31(7), 1265-1280.
Rakitzis, A.C., Chakraborti, S., Shongwe, S.C., Graham, M.A., & Khoo, M.B.C. (2019). An overview of synthetic-type control charts: Techniques and Methodology. Quality and Reliability Engineering International, 35(7), 2081-2096.
Raza, M.A., Nawaz, T., & Han, D. (2019). On designing new optimal synthetic Tukey’s control charts. Journal of Statistical Computation and Simulation, 89(12), 2218-2238.
Sabahno, H., & Amiri, A. (2017). The effect of measurement errors on the performance of variable sample size and sampling interval X ̅ control chart. International Journal of Engineering, Transactions A: Basics, 30(7), 995-1004.
Shongwe S.C., & Graham, M.A. (2016). On the performance of Shewhart-type synthetic and runs-rules charts combined with an X ̅ chart. Quality and Reliability Engineering International, 32(4), 1357-1379.
Shongwe, S.C., Malela-Majika, J.-C., Castagliola, P., & Molahloe, T. (2019a). Side-sensitive synthetic and runs-rules charts for monitoring AR(1) processes with skipping sampling strategies. Communications in Statistics – Theory and Methods, DOI: 10.1080/03610926.2019.1596284.
Shongwe, S.C., Malela-Majika, J.-C., & Rapoo, E.M. (2019b). One-sided and two-sided w-of-w runs-rules schemes: An overall performance perspective and the unified run-length derivations. Journal of Probability and Statistics, Article ID: 6187060, 1-20.
Shongwe, S.C., & Malela-Majika, J.-C. (2019). Shewhart-type monitoring schemes with supplementary w-of-w runs-rules to monitor the mean of autocorrelated samples. Communications in Statistics - Simulation and Computation, DOI: 10.1080/03610918.2019.1650180.
Shongwe, S.C., Malela-Majika, J.-C., and Castagliola, P. (2020a). The new synthetic and runs-rules schemes to monitor the process mean of autocorrelated observations with measurement errors. Communications in Statistics – Theory and Methods, DOI: 10.1080/03610926.2020.1737125.
Shongwe, S.C., Malela-Majika, J.-C., and Castagliola, P. (2020b). On monitoring the process mean of autocorrelated observations with measurement errors using the w-of-w runs-rules scheme. Quality and Reliability Engineering International, 36(3), 1144-1160.
Singh, S., & Prajapati, D.R. (2014). Effect of warning limits on the performance of the X ̅ chart under autocorrelation. International Journal of Productivity and Quality Management, 13(2), 235-250.
Tran, P.H., Tran, K.P., & Rakitzis, A.C. (2019). A synthetic median control chart for monitoring the process mean with measurement errors. Quality and Reliability Engineering International, 35(4), 1100-1116.
Wu, Z., & Spedding, T.A. (2000). A synthetic control chart for detecting small shifts in the process mean. Journal of Quality Technology, 32(1), 32-38.
Yu, S., Wan, Q., Wei, Z., & Tang, T. (2016). Statistical design of an adaptive synthetic X ̅ control chart with run rule on service and management operation. Scientific Programming, Article ID: 9629170, 1-7.