Monitoring binary response profiles in multistage processes

Document Type : Research Paper

Authors

1 Department of Industrial Engineering, Faculty of Engineering, North Tehran Branch, Islamic Azad University, Tehran Iran,

2 Department of Industrial Engineering, Faculty of Engineering, Shahed University, Tehran, Iran

10.22070/jqepo.2021.13498.1172

Abstract

Monitoring Binomial regression profiles in Phase II is examined in this study for multistage manufacturing processes where the quality characteristic is binary. In these kinds of processes, the quality of the final product depends on the quality characteristic of the previous stages, which is referred to as the cascade property. The U statistic was used to diminish the effect of this property. Then, four approaches, such as T2 and MEWMA control chart, LRT, and LRT/EWMA method, have been used, and the performance of these methods have been evaluated using simulation and a numerical example by means of ARL. An actual case study was also used to investigate the effectiveness of monitoring methods in further depth. Studies reveal that the proposed schemes perform well.

Keywords

References

Agresti, A., (2002), Categorical data analysis. Wiley, Hoboken.
Amiri, A., Koosha, M., Azhdari A., and Wang, G., (2015), Phase I monitoring of generalized linear model-based regression profiles, Journal of Statistical Computation and Simulation, 85(14), 2839-2859.
Asadzadeh Sh., Aghaie A., and Yang, S.F., (2008), Monitoring and diagnosing multistage processes: A   review of cause selecting control chart, Journal of Industrial and System Engineering, 2(3), 214-235.
Asadzadeh, S., Aghaei, A., Shahriari, H., and Niaki, S.T.A., (2015), Improving reliability in multistage processes with Auto-correlated observations, Quality Technology and Quantitative Management, 12(2), 143-157.
Asgari, A., Amiri, A., and Niaki, S.T.A., (2014), A new link function in GLM-based control charts to improve monitoring of two-stage process with Poisson response, The International Journal of Advanced Manufacturing Technology, 72(9-12), 1243-1256.
Chen Y., Birch, J.B., and Woodall, W.H., (2016), Effect of Phase I estimation on phase II control chart performance with profile data, Quality and Reliability Engineering International., 32(1),79-87.
Dai, C., Wang, K., and Jin, R., (2014), Monitoring profiles trajectories with dynamic time wrapping alignment, Quality and Reliability Engineering International, 30(6), 815-827.
Du, S., Yao, X., and Huwang, D., (2015), Engineering model-based Bayesian monitoring of ramp-up phase of multistage manufacturing process, International Journal of Production Research, 53(15), 4594-4613.
Derakhshani, R., Esmaeeili, H., and Amiri, A., (2020), Phase II monitoring of Poisson regression profiles in multistage processes. International Journal of Reliability, Quality and Safety Engineering, 27 (04), 2050012
Eghbali Ghahyazi, M., Niaki, S.T.A., Soleimani, P., (2014), On the monitoring of linear profiles in multistage processes, Quality and Reliability Engineering International, 30(7), 1035-1047
Esmaeili, H., Sadeghieh, A., Amiri, A., and Doroudyan, M.H., (2017), Monitoring two stage processes with a Profile at the second stage, Communications in Statistics- Simulation and Computation, 46(3), 2451-2473
Goodarzi, A., Amiri, A., and Asadzaseh, S., (2016). Monitoring the censored lognormal reliability data in a three-stage process using AFT model, Journal of Industrial Engineering International, 13(1), 67-80.
Hauck, D.J., Runger, G.C., and Montgomery, D.C., (1999), Multivariate statistical process monitoring and diagnosis with grouped regression-adjusted variables, Communications in Statistics- Simulation and Computation, 28(2), 309-328.
Hadiddoust, Z., Samimi, Y., and Shahriari, H., (2015), Monitoring and change point estimation for spline modeled nonlinear profiles in Phase II, Journal of Applied Statistics, 42(12), 2520-2530.
Jearkpaporn, D., Borror, C.M., Runger, G.C., and Montgomery, D.C, (2007), Process monitoring for mean shifts for multiple stage processes, International Journal of Production Research, 45(23), 5547-5570.
Jiao, Y., and Djurdjanovic, D., (2010), Joint allocation of measurement points and controllable tooling machines in multistage manufacturing processes, IIE Transactions, 42(10), 703-720.
Jin, J., and Shi, J., (1999), State space modeling of sheet metal assembly for dimensional control, ASME Transactions, Journal of Manufacturing Science and Engineering, 121(4), 756-762.
Kalaei, M., Atashgar, K., Niaki, STA., and Soleimani, P., (2016), Phase I monitoring of simple linear profiles in multistage processes with cascade property, published online in The International Journal of Advanced Manufacturing Technology, doi: 10.1007/s00170-016-9691-0
Kang, L. and Albin, S.L., (2000), Online monitoring when the process yields a linear profile, Journal of Quality Technology, 32(4), 418-426.
Khedmati, M. and Niaki, S.T.A., (2016), A new control scheme for Phase II monitoring of simple linear profiles in multistage processes, published online in Quality and Reliability Engineering International, doi: 10.1002/qre.1959.
Khedmati, M. and Niaki, S.T.A., (2016), Monitoring simple linear profiles in multistage processes by a Max EWMA control chart, Computers and Industrial Engineering, 98,125-143.
Khedmati, M. and Niaki, S.T.A., (2016), Phase II monitoring of general linear profiles in the presence of between profile auto correlation, Quality and Reliability Engineering International, 32(2),443-452.
Khedmati, M. and Niaki, S.T.A., (2017), Phase I monitoring of general linear profiles in multistage processes, Communications in Statistics- Simulation and Computation, 46(6),4465-4489.
Lowry, C., Woodall, W., Champ, C. and Rigdon, S., (1992), A multivariate exponentially weighted moving average control chart, Technometrics, 34(1), 46-53.
Lucas, J. M. and Saccucci, M. S., (1990), Exponentially weighted moving average control scheme properties and Enhancement, Technometrics, 32(1), 1-29.
Mahmoud, M.A. and Woodall, W.H., (2004), Phase I analysis of linear profiles with calibration applications, Technometrics, 46(4), 380-391.
Maleki, M. R., Amiri, A., Taheriyoun, A. R., and Castagliola, P., (2018), Phase I monitoring and change point estimation of auto correlated Poisson regression profiles, Communications in Statistics - Theory and Methods, 47(24), 5885-5903.
Maleki, M. R., Amiri, A., and Castagliola, P., (2019), An overview on recent profile monitoring papers (2008-2018) based on conceptual classification scheme, Computers & Industrial Engineering, 126, 705–728.
Niaki, S.T.A., Abbasi, B., and Arkat,J., (2007), A generalized linear statistical model approach to monitor profiles, International Journal of Engineering Transactions A: Basics, 20(3), 233-242.
Niaki, S.T.A., and Davoodi, M., (2009), Designing a multivariate-multistage quality control system using artificial neural networks, International Journal of Production Research, 47(1),251-271.
Noorossana, R., and Shekary, M., (2012), Monitoring two dependent process steps using special variable sample sizes and sampling intervals cause-selecting control charts, Quality and Reliability Engineering International, 28(4), 437-453.
Noorossana, R., Eyvazian, M., and Vaghefi, A., (2010), Phase II monitoring of multivariate simple linear profiles, Computers and Industrial Engineering, 58(4), 563–570.
Prabhu, S.S. and Runger, G. C., (1997), Designing a multivariate EWMA control chart, Journal of Quality Technology, 29(1), 8-15.
Qi, D., Wang, Z., Zi, X., and Li, Z., (2016), phase II monitoring of generalized linear profiles using weighted likelihood ratio charts, Computers and Industrial Engineering, 94,178-187.
Shang, Y., Tsung, F., and Zou, C., (2011), Profile monitoring with binary data and random predictors, Journal of Quality Technology, 43(3), 196-208.
Shang, Y., Tsung, F., and Zou, C., (2013), Statistical process control for multistage process with binary outputs, IIE Transactions, 45 (9), 744-753.
 
Shi, J., (2007), Stream of variation modeling and analysis for multistage manufacturing processes. Boca Raton, FL: CRC Press, Taylor and Francis group.
Shi, J., and Zhou, S., (2009), Quality control and improvement for multistage systems: A survey, IIE Transactions, 41(9), 744-753.
Shu, L., Tsung, F. and Kapur, K.C., (2004), Design of multiple cause-selecting charts for multistage processes with model uncertainty, Quality Engineering, 16(3), 437-450.
Soleimani, P., Noorossana, R., and Amiri, A., (2009), Simple linear profiles monitoring in the presence of within profile autocorrelation, Computers and Industrial Engineering, 57(3), 1015-1021.
Soleymanian, M.E., Khedmati, M., and Mahlooji, H., (2013), Phase II monitoring of binary response profiles, Scientia Iranica, Transaction E: Industrial Engineering, 20(6), 2238-2246.
Stover, F.S., Brill, R.V., (1998), Statistical quality control applied to ion chromatography calibrations, Journal of Chromatography A, 804(1-2), 37–43.
Tsung, F., Li, Y., and Jin, M., (2008), Statistical process control for multistage manufacturing and service operations; A review and some extensions. International Journal of Service Operations and Informatics, 3(2), 191-204.
Wade, M.R., Woodall, W.H., (1993), A review and analysis of cause-selecting control charts, Journal of Quality Technology, 25(3), 161-169.
Williams, JD, Woodall, WH and Birch, JB, (2007), Statistical monitoring of nonlinear product and process quality profiles, Quality and Reliability Engineering International, 23(8), 925-941.
Yang S.F., Yeh J.T., (2011), Using cause selecting control charts to monitor dependent process stages with attributes data, Expert System with Applications, 38(1), 667-672.
Yang, S.F., Su, H.C., (2007), Adaptive sampling interval cause selecting control charts, The International Journal of Advanced Manufacturing Technology, 31(11-12), 1169-1180.
Yeh, B.A., Huwang, L and Yu-Mei L, (2011), Profile monitoring for a binary response, IIE Transactions, 41(11), 931-941.
Zhang, G.X, (1984), A New type of control charts and theory of diagnosis with control charts, World Quality Congress Transactions, American Society for Quality Control, 175-185.
Zhang, J., Ren H., Yao, R., Zou, C., and Wang, Z., (2015), Phase I analysis of multivariate profiles based on regression adjustment, Computers and Industrial Engineering, 85, 132-144.
Zolfaghari, S., and Amiri, A., (2016), Monitoring multivariate-attribute quality characteristics in two stage processes using Discriminant Analysis based control charts, Scientia Iranica, Transactions E: Industrial Engineering, 23(2), 757-767.
Zou, C., Tsung, F., and Wang, Z., (2007), Monitoring general linear profiles using multivariate exponentially weighted moving average scheme, Technocometrics, 49(4), 395-408.
Journal of Quality Engineering and Production Optimization
Volume 6, Issue 2
December 2021
Pages 97-114

Files

Share

How to cite

Statistics