Implementation of MEWMA chart using time series model for monitoring the white crystal sugar quality

Pratama, Donny Setya and Rozi, Fachrur ORCID: https://orcid.org/0000-0002-6380-0297 (2024) Implementation of MEWMA chart using time series model for monitoring the white crystal sugar quality. Barekeng: Jurnal Ilmu Matematika dan Terapan, 18 (2). pp. 809-820. ISSN 26153017

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Abstract

The basic assumption of implementing a control chart is that the observed process values should be normally distributed and independent. However, the production process at the factory is carried out repeatedly with the same machine, so there is a possibility that the observation data is not independent and the resulting control chart becomes inaccurate. Therefore, a time series model approach is needed to create an accurate control chart. This study aims to conduct statistical quality control of white crystal sugar (WCS) production at Madukismo Sugar Factory (MSF) Yogyakarta to maintain product stability and quality according to the standards. MSF performs quality control on WCS products with several quality characteristic variables, including drying shrinkage (%), grain size (mm), polarization, andcolor of sugar solution(ICUMSA). This studyis only limited to the four quality characteristics with research data in the form of secondary data from the MSF QC Laboratory. The data used were WCS quality characteristics from May 9 -July 16, 2022. The four characteristics influence each other, so a MEWMA control chart is used.This study found autocorrelation between observations so that time series modeling was carried out and resulted in VARIMA (1,1,2) as the best time series model.Whilethe implementation of the MEWMA chart shows uncontrollable results with an optimal weighting value λ of 0.8. For process capability, the results show that the process is capable.

Item Type:	Journal Article
Keywords:	MEWMA; Process Capability; VARIMA; White Cristal Sugar
Subjects:	01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010299 Applied Mathematics not elsewhere classified 01 MATHEMATICAL SCIENCES > 0104 Statistics > 010401 Applied Statistics 09 ENGINEERING > 0904 Chemical Engineering > 090407 Process Control and Simulation
Divisions:	Faculty of Mathematics and Sciences > Department of Mathematics
Depositing User:	Fachrur Rozi
Date Deposited:	07 Jun 2024 11:53

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