Penerapan Peta Kendali Neutrosophic Exponentially Weighted Moving Average (NEWMA) X dalam Monitoring Rata-Rata Proses Ketebalan Kaca

Wibawati Wibawati, Widya Amalia Rahma, Muhammad Ahsan, Wilda Melia Udiatami

Abstract


In the industrial sector, the measurement results of a quality characteristic often involve an uncertainty interval (interval indeterminacy). This causes the classical control chart to be less suitable for monitoring quality. Currently, a control chart with a neutrosophic approach has been developed. The neutrosophic control chart was developed based on the concept of neutrosophic numbers with control charts. One of the control charts that have been developed to monitor the mean process is the Neutrosophic Exponentially Weighted Moving Average (NEWMA) X control chart. This control chart is a combination of neutrosophic with classical EWMA control chart.  The neutrosophic control chart consists of two control charts, namely lower and upper, each of which consists of upper and lower control limits. Therefore, NEWMA X is more sensitive to detect out-of-control observations. In this research, the NEWMA X control chart will be used to monitor the average process of the thickness of the panasap dark grey 5mm glass produced by a glass industry. Through the analysis in this research, it was found that by using weighting λN [0, 10; 0, 10] and constant value kN [2, 565; 2, 675], the average process of the thickness of panasap dark grey 5mm glass has not beet controlled statistically because 21 observations were identified that were outside the control limits (out of control). When compared with the classical EWMA control chart with the same weighting λ, 17 observations were detected out of control. This proves that the NEWMA X control chart is more sensitive in detecting observations that are out of control because the determination of the in-control state is based on two values, lower and upper, both at the lower and upper control limits.


Keywords


Neutrosophic; NEWMA X; Out of Control; Panasap Dark Grey; Thickness of Glass

Full Text:

PDF

References


A. Mitra, Fundamentals of Quality Control and Improvement. New Jersey: John Wiley and Sons, Inc., 2016.

M. Aslam, A. H. AL-Marshadi, and N. Khan, “A New X-Bar Control Chart for Using Neutrosophic Exponentially Weighted Moving Average,” Mathematics, vol. 7, no. 10, p. 957, oct 2019, doi: http://dx.doi.org/10.3390/math7100957.

D. Montgomery, Introduction to Statistical Quality, 8th ed. New York: John Wiley and Sons, Inc., 2020.

F. Smarandache, Introduction to Neutrosophic Statistics. USA: American Research Press, 2014.

M. Aslam, “Design of X-Bar Control Chart for Resampling Under Uncertainty Environment,” IEEE Access, vol. 7, pp. 60 661–60 671, 2019, doi: http://dx.doi.org/10.1109/ ACCESS.2019.2915007.

M. Aslam, N. Khan, and M. Albassam, “Control Chart for Failure-Censored Reliability Tests under Uncertainty Environment,” Symmetry, vol. 10, no. 12, p. 690, dec 2018, doi: http://dx.doi.org/10.3390/sym10120690.

Aslam, Bantan, and Khan, “Design of SN2-NEWMA Control Chart for Monitoring Process having Indeterminate Production Data,” Processes, vol. 7, no. 10, p. 742, oct 2019, doi: http://dx.doi.org/10.3390/pr7100742.

P. Castagliola, “A NewS2-EWMA Control Chart for Monitoring the Process Variance,” Quality and Reliability Engineering International, vol. 21, no. 8, pp. 781–794, dec 2005, doi: http://dx.doi.org/10.1002/qre.686.

M. Aslam, N. Khan, and M. Khan, “Monitoring the Variability in the Process Using Neutrosophic Statistical Interval Method,” Symmetry, vol. 10, no. 11, p. 562, nov 2018, doi: http://dx.doi.org/10.3390/sym10110562.

Z. Khan, M. Gulistan, W. Chammam, S. Kadry, and Y. Nam, “A New Dispersion Control Chart for Handling the Neutrosophic Data,” IEEE Access, vol. 8, pp. 96 006–96 015, 2020, doi: http://dx.doi.org/10.1109/ACCESS.2020.2995998.

N. A. Saleh, M. A. Mahmoud, L. A. Jones-Farmer, I. Zwetsloot, and W. H. Woodall, “Another Look at the EWMA Control Chart with Estimated Parameters,” Journal of Quality Technology, vol. 47, no. 4, pp. 363–382, oct 2015, doi: http://dx.doi.org/10.1080/00224065.2015.11918140.

M. Aslam, “Monitoring the road traffic crashes using NEWMA chart and repetitive sampling,” International Journal of Injury Control and Safety Promotion, vol. 28, no. 1, pp. 39–45, jan 2021, doi: http://dx.doi.org/10.1080/17457300.2020.1835990.

M. Aslam and O. H. Arif, “Multivariate Analysis under Indeterminacy: An Application to Chemical Content Data,” Journal of Analytical Methods in Chemistry, vol. 2020, pp. 1–6, jul 2020, doi: http://dx.doi.org/10.1155/2020/1406028.

Aslam and Albassam, “Inspection Plan Based on the Process Capability Index Using the Neutrosophic Statistical Method,” Mathematics, vol. 7, no. 7, p. 631, jul 2019, doi: http://dx.doi.org/10.3390/math7070631.

M. Albassam, N. Khan, and M. Aslam, “The W/S Test for Data Having Neutrosophic Numbers: An Application to USA Village Population,” Complexity, vol. 2020, pp. 1–8, may 2020, doi: http://dx.doi.org/10.1155/2020/3690879.




DOI: https://doi.org/10.34312/jjom.v4i1.11993



Copyright (c) 2022 Wibawati Wibawati, Widya Amalia Rahma, Muhammad Ahsan, Wilda Melia Udiatami

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.


Jambura Journal of Mathematics has been indexed by

>>>More Indexing<<<


Creative Commons License

Jambura Journal of Mathematics (e-ISSN: 2656-1344) by Department of Mathematics Universitas Negeri Gorontalo is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. Powered by Public Knowledge Project OJS. 


Editorial Office


Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Negeri Gorontalo
Jl. Prof. Dr. Ing. B. J. Habibie, Moutong, Tilongkabila, Kabupaten Bone Bolango, Gorontalo, Indonesia
Email: info.jjom@ung.ac.id.


 

slot gacor slot gacor hari ini slot gacor 2025 demo slot pg slot gacor slot gacor