Development of a new variable repetitive group sampling plan based on EWMA yield index

Document Type : Research Note

Authors

1 Department of Industrial Engineering, Yazd University, Yazd, P.O. Box 89195-741, Iran

2 Department of Industrial Engineering, Science and Art University, Yazd, Iran

Abstract

This paper develops a new variables repetitive group sampling plan using the exponentially weighted moving average (EWMA) statistic based on the yield index for the submitted lot. The optimal parameters of the proposed plan are determined under three scenarios based on the average sample number. Average sample number (ASN) is minimized to decrease inspection's cost and time by using the optimization problem for the required quality levels and sundry combinations of producer's and consumer's risks. The comparison study is provided to specify the efficiency of the proposed plan. Furthermore, the proposed plan is presented with an example which indicates its applicability in the industry. The proposed plan is compared with the single sampling plan and repetitive group sampling plan based on the yield index. The upshots are tabulated for various quality levels. The obtained outcomes demonstrate that the performance of the proposed sampling plan is more lucrative than the existing sampling plans in terms of ASN.

Keywords

References

References:
1- Arizono, I., Miyazaki, T., and Takemoto, Y. “Variable sampling inspection plans with screening indexed by Taguchi's quality loss for optimizing average total inspection”, International journal of production research, 52 (2), pp. 405-418 (2014).
2- Aslam, M., Azam, M., and Jun, C. H. “Improved acceptance sampling plan based on EWMA statistic”, Sequential Analysis, 34 (3), pp. 406-422 (2015).
3- Azam, M., Arif, O. H., Aslam, M., and et al. “Repetitive acceptance sampling plan based on exponentially weighted moving average regression estimator”, Journal of Computational and Theoretical Nanoscience, 13 (7), pp. 4413-4426 (2016). 
4- Boyles, R. A. “Process capability with asymmetric tolerances”, Communications in Statistics-Simulation and Computation, 23 (3), pp. 615-635 (1994).
5- Balamurali, S., and Jun, C. H. “Repetitive group sampling procedure for variables inspection”, Journal of Applied Statistics, 33 (3), pp. 327-338 (2006).
6- Balamurali, S., and Jun, C. H. “Designing of a variables two-plan system by minimizing the average sample number”, Journal of Applied Statistics, 36 (10), pp. 1159-1172 (2009).
7- Fallah Nezhad, M. S., Yousefi Babadi, A., Owlia, M. S., and et al. “A recursive approach for lot sentencing problem in the presence of inspection errors”, Communications in Statistics-Simulation and Computation, 46 (3), pp. 2376-2392 (2017). 
8- Fallah Nezhad, M. S., and Zahmatkesh Saredorahi, F. “Designing an economically optimal repetitive group sampling plan based on loss functions”, Communications in Statistics-Simulation and Computation, 47 (3), 783-799 (2018).
9- Fallah Nezhad, M. S., Qazvini, E., and Abessi, M. “Designing an economical acceptance sampling plan in the presence of inspection errors based on maxima nomination sampling method”, Scientia Iranica, 25 (3), pp. 1701-1711 (2018).
10- Fallah Nezhad, M. S., and Golbafian, V. “Economic design of cumulative count of conforming control charts based on average number of inspected items”, Scientia Iranica, 24 (1), pp. 330-341 (2017).
11- Fallah Nezhad, M. S., and Nesaee, M. “Developing variables sampling plans based on EWMA yield index”, Published online in Communications in Statistics: Simulation and Computation. Https://doi.org/10.1080/03610918.2019.1577972 (2019).
12- Jennett, W. J., and Welch, B. L. “The control of proportion defective as judged by a single quality characteristic varying on a continuous scale”, Journal of the Royal Statistical Society, 6 (1), pp. 80-88 (1939).
13- Khan, N., Aslam, M., Jun, C. H., and et al. “Design of acceptance sampling plan using a modified EWMA statistic”, Communications in Statistics-Theory and Methods, 47 (12), pp. 2881-2891 (2018). 
14- Kane, V. E. “Process capability indices”, Journal of Quality Technology, 18 (1), pp. 41-52 (1986).
15- Kotz, S., and Johnson, N. L. “Process capability indices – A review, 1992-2000”, Journal of Quality Technology, 34 (1), pp. 2-19 (2002).
16- Kalgonda, A. A., Koshti, V. V., and Ashokan, K. V. “Exponentially weighted moving average control chart”, Asian Journal of Management Research, 2 (1), pp. 253-263 (2011). 
17- Lee, J. C., Hung, H. N., Pearn, W. L., and et al. “On the distribution of the estimated process yield index S_pk”, Quality and Reliability Engineering International, 18 (2), pp. 111-116 (2002).
18- Montgomery, D. C. “Introduction to statistical quality control”, 6th Ed, New York, Wiley (2009).
19- Nesaee, M., and Fallahnezhad, M. S., “Designing variables sampling plans based on the yield index S_pk”, Published online in Communications in Statistics-Theory and Methods. Https://doi.org/10.1080/03610926.2019.1639742 (2019).
20- Pearn, W. L., and Wu, C. W. “Critical acceptance values and sample sizes of a variables sampling plan for very low fraction of defectives”, Omega – the International Journal of Management Science, 34 (1), pp. 90-101 (2006).
21- Pearn, W. L., and Wu, C. W. “An effective decision-making method for product acceptance”, Omega – the International Journal of Management Science, 35 (1), pp. 12-21 (2007).
22- Sherman, R. E. “Design and evaluation of a repetitive group sampling plan”, Technometrics, 7 (1), pp. 11-21 (1965).
23- Vangjeli, E. “ASN-minimax double sampling plans by variables for two-sided limits when the standard deviation is known”, Statistical Papers, 53 (1), pp. 229-238 (2012).
24- Wang, F. K. “A single sampling plan based on exponentially weighted moving average model for linear profiles”, Quality and Reliability Engineering International, 32 (5), pp. 1795-1805 (2016). 
25- Wang, F. K., and Tamirat, Y. “Acceptance sampling plan based on an exponentially weighted moving average statistic with the yield index for autocorrelation between polynomial profiles”, Communications in Statistics-Theory and Methods, 47 (19), 4859-4871 (2018). 
26- Wu, C. W., and Liu, S. W. “A new lot sentencing approach by variables inspection based on process yield”, International Journal of Production Research, 56 (12), pp. 4087-4099 (2018).
27- Wu, C. W., Pearn, W. L., and Kotz, S. “An overview of theory and practice on process capability indices for quality assurance”, International Journal of Production Economics, 117 (2), pp. 338-359 (2009).
28- Wu, C. W., and Liu, S. W. “Developing a sampling plan by variables inspection for controlling lot fraction of defectives”, Applied Mathematical Modelling, 38 (9-10), 2303-2310 (2014).
29- Wu, C. W., Aslam, M., and Jun, C. H. “Variables sampling inspection scheme for resubmitted lots based on the process capability index C_pk”, European Journal of Operational Research, 217 (3), pp. 560-566 (2012).
30- Wu, C. W. “An efficient inspection scheme for variables based on Taguchi capability index”, European Journal of Operational Research, 223 (1), pp. 116-122 (2012).
31- Yan, A. J., Aslam, M., Azam, M., and et al. “Developing a variable repetitive group sampling plan based on the coefficient of variation”, Journal of Industrial and Production Engineering, 34 (5), pp. 398-405 (2017).
32- Yen, C. H., Chang, C. H. “Designing variables sampling plans with process loss consideration”, Communications in Statistics-Simulation and Computation, 38 (8), pp. 1579-1591 (2017).
33- Yen, C. H., Aslam, M., and Jun, C. H. “A lot inspection sampling plan based on EWMA yield index”, International Journal Advanced Manufacturing Technology, 75 (5-8), pp. 861-868 (2014).
34- Yen, C. H., Chang, C. H., and Aslam, M. “Repetitive variable acceptance sampling plan for one-sided specification”, Journal of Statistical Computation and Simulation, 85 (6), pp. 1102-1116 (2015).
Scientia Iranica
Volume 28, Issue 4
Transactions on Industrial Engineering (E)
July and August 2021
Pages 2457-2476

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