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THE MIXED UNIVARIATE CONTROL CHART EWMA AND CUSUM FOR FLAVOUR PRODUCTION QUALITY PROCESS MONITORING Sari, Surya Puspita; Maiyastri, Maiyastri; Devianto, Dodi
Jurnal Matematika UNAND Vol 13, No 4 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.4.309-315.2024

Abstract

A control chart is an important statistical technique used to monitor the average quality of a process or dispersion. Shewhart control chart is used to detect larger disturbances in process parameters. Along with the times, a more sensitive univariate control chart is created, namely EWMA and CUSUM. The control chart is developed into a combination as a Mixed EWMA-CUSUM control chart to detect smaller changes.  The performance of the Mixed EWMA – CUSUM control graph does not only rely on current observations, but also collects information from previous observations so as to provide a fast signal to detect out of control conditions.
THE MIXED UNIVARIATE CONTROL CHART EWMA AND CUSUM FOR FLAVOUR PRODUCTION QUALITY PROCESS MONITORING Sari, Surya Puspita; Maiyastri, Maiyastri; Devianto, Dodi
Jurnal Matematika UNAND Vol. 13 No. 4 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.4.309-315.2024

Abstract

A control chart is an important statistical technique used to monitor the average quality of a process or dispersion. Shewhart control chart is used to detect larger disturbances in process parameters. Along with the times, a more sensitive univariate control chart is created, namely EWMA and CUSUM. The control chart is developed into a combination as a Mixed EWMA-CUSUM control chart to detect smaller changes.  The performance of the Mixed EWMA – CUSUM control graph does not only rely on current observations, but also collects information from previous observations so as to provide a fast signal to detect out of control conditions.
UPAYA MEMBANGUN KARAKTER SISWA MELALUI INTEGRASI KONSEP HIMPUNAN DAN AL-QUR’AN DALAM PEMBELAJARAN MATEMATIKA Izzati Rahmi HG; Admi Nazra; Budi Rudianto; Mahdhivan Syafwan; Ferra Yanuar; Hazmira Yozza; Narwen Narwen; Monika Rianti Helmi; Maiyastri Maiyastri
BULETIN ILMIAH NAGARI MEMBANGUN Vol. 6 No. 4 (2023)
Publisher : LPPM (Institute for Research and Community Services) Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/bina.v7i4.538

Abstract

The Quran is the source of all knowledge, including mathematics. On the other hand, mathematics is closely related to everyday life and the development of other fields of knowledge. Mathematics is one of the disciplines closely connected to the verses of the Quran. Mathematics education is expected to improve to meet the advancements in time and technology continually. It is also anticipated that mathematics education can build the character of each student through religious values. This activity aims to introduce the concept of sets integrated with the content of verses found in the Quran. The activity was conducted as an online Zoom meeting and YouTube streaming seminar. Participants included mathematics lecturers, teachers, and students from Islamic junior and senior high schools from ten provinces in Indonesia. The event was titled "The Quran and Set Theory" and received high appreciation from the seminar participants. This was evident from the enthusiastic participation and numerous questions raised during the Q&A session. This activity has motivated teachers and lecturers to integrate the mathematical concepts learned with the Quranic verses. Teachers who participated in this activity are expected to act as agents in popularizing the method of integrated mathematics education with the content of Quranic verses, especially set theory.
COMPARISON BETWEEN BAYESIAN QUANTILE REGRESSION AND BAYESIAN LASSO QUANTILE REGRESSION FOR MODELING POVERTY LINE WITH PRESENCE OF HETEROSCEDASTICITY IN WEST SUMATRA Hasibuan, Lilis Harianti; Yanuar, Ferra; Devianto, Dodi; Maiyastri, Maiyastri; Rudiyanto, Rudiyanto
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 19 No 3 (2025): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol19iss3pp1587-1596

Abstract

The poverty line is the threshold income level below which a person or household is considered to be living in poverty. The poverty line is a representation of the minimum rupiah amount needed to meet the minimum basic food needs equivalent to 2100 kilocalories per capita per day and basic non-food needs. According to data from the Central Bureau of Statistics (BPS), although the poverty rate in West Sumatra has decreased in recent years, the issue of poverty is still very relevant to be discussed and addressed. The issue of the poverty line is important to discuss because it is directly related to the welfare of people and the development of a country. For modeling the poverty line and its influencing factors, appropriate statistical methods are needed. This research is about the comparison of two methods, namely the Bayesian quantile regression method and Bayesian LASSO quantile regression. The two methods are compared with the aim of seeing which method produces the smallest error. Bayesian quantile regression is one method that can model data assuming heteroscedasticity violations. This study compares the ordinary Bayesian quantile regression method with penalized LASSO. These two methods are applied in modeling the poverty line in West Sumatra. The purpose of this study is to see the best method for modeling data. The data used amounted to 133 data points from BPS in the years 2017 and 2023. Model parameters were estimated using MCMC with a Gibbs sampling approach. The results show that the Bayesian LASSO method is superior to the method without LASSO. This is evidenced that the superior method produces the smallest MSE value, 0.208, at quantile 0.5. Model poverty line in West Sumatra is significantly influenced by per capita spending ), Gross Regional Domestic Product ), Human Development Index ), Open Unemployment Rate , and minimum wages .
Modeling Classification Of Stunting Toddler Height Using Bayesian Binary Quantile Regression With Penalized Lasso Hasibuan, Lilis Harianti; Yanuar, Ferra; Devianto, Dodi; Maiyastri, Maiyastri
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 10 No. 2 (2025): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v10i2.928

Abstract

Stunting is a child who has a height that is shorter than the age standard. One of the main indicators of stunting is a height that is lower than the standard for toddlers. Stunting in Indonesia is of great concern due to the high prevalence of stunting. Stunting children are at risk of impaired cognitive development, which will result in the development of human resources. This study aims to develop a classification model to detect stunted toddlers based on height using the Bayesian binary quantile regression method with LASSO (Least Absolute Shrinkage and Selection Operator). This method was chosen because of its ability to handle multicollinearity and variable selection problems automatically, as well as provide better estimates on non-normally distributed data. The data used in this study includes five independent variables such as age, weight at birth, gender, how to measure height and nutritional status. The results showed that independent variables that significantly affect the height of stunting toddlers can be a concern to reduce the problem of stunting in Indonesia. The results of model show that variable age, weight at birth, and nutritional status have a significant influence to classification of stunting toddler height. Indicator of model goodness is seen from the quantile that has the smallest MSE value. The model that has the smallest MSE is in quantile 0.25 with an MSE value of 0.1622.
TIME SERIES MODELING OF NATURAL GAS FUTURE PRICE WITH FUZZY TIME SERIES CHEN, LEE AND TSAUR Devianto, Dodi; Zuardin, Aulia; Maiyastri, Maiyastri
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 4 (2022): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (516.953 KB) | DOI: 10.30598/barekengvol16iss4pp1185-1196

Abstract

Investment is the process of investing money or capital for profit or material results. The investor carefully calculates the investment object to minimize losses and maximize profits. One of the essential investment objects is the futures price of natural gas considered a commodity that plays a vital role in the Indonesian economy. The movement of natural gas futures prices can be modeled using a time series model. The data in the time series model is believed to have particular pattern to model the data in the future. The natural gas futures price is modeled into a time series method by using fuzzy time series (FTS) approach of the FTS Chen, Lee and Tsaur. Model accuracy is calculated using the criteria of Mean Absolute Error (MAE), Root Mean Squared Error (RMSE), and Mean Absolute Percentage Error (MAPE). The three FTS methods have good performance of accuracy for this time series data, where FTS Tsaur as fuzzy times series approach with average based method shows the best results with the smallest error rate to the data of natural gas future price.
A COMPARISON OF FUZZY TIME SERIES CHENG AND CHEN-HSU IN FORECASTING TOTAL AIRPLANE PASSENGERS OF SOEKARNO-HATTA AIRPORT Zahra, Latifah; Maiyastri, Maiyastri; Rahmi, Izzati
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 18 No 1 (2024): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol18iss1pp0019-0028

Abstract

In some cases, the demand for flights has increased or decreased unexpectedly. Based on this airport as a service provider balance the availability of the service and the needs in the field. To balance all the provided services, the airport needs to predict the total passenger that would visit the airport on consecutive days. Thus, a form of time-series forecast is used in this research. We applied fuzzy time series (FTS) to forecasting total airplane passengers, where there are several logics in FTS including FTS Cheng’s Logic and FTS Chen-Hsu’s Logic. To determine the accuracy of the forecast, use three criteria, namely Root Mean Squared Error (RMSE), Mean Absolute Deviation (MAD), and Mean Absolute Percentage Error (MAPE). In terms of modelling and forecasting data, FTS Chen-Hsu’s Logic is better than FTS Cheng’s Logic. This is shown in the value of three accuracy criteria of FTS Chen-Hsu’s Logic are smaller than FTS Cheng’s Logic. Conclusion, FTS Chen-Hsu method can be used as a forecasting model for the total passenger airplane in Soekarno-Hatta International Airport
Model Volatilitas Return Index Saham Syariah Indonesia Melalui Pendekatan Bayesian Markov Switching GARCH Afnanda, Afridho; Maiyastri, Maiyastri; Devianto, Dodi
Lattice Journal : Journal of Mathematics Education and Applied Vol. 4 No. 1 (2024): Juni 2024
Publisher : Universitas Islam Negeri Sjech M. Djamil Djambek Bukittinggi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30983/lattice.v4i1.8381

Abstract

Volatility is an important aspect of financial analysis that plays a crucial role in risk management and investment decision making. Modeling the volatility of financial asset prices is challenging due to its dynamic and complex nature. One approach used to address this problem is the GARCH model. In volatility problems, there is a tendency for structural changes in more complex data so that the GARCH model cannot be used, to overcome this, the Markov Switching GARCH (MS-GARCH) model is used to overcome the problem of changing the data structure. Furthermore, the Bayesian model is also used in combination with the MS-GARCH model to overcome the small sample size. This research uses Indonesia Sharia Stock Index (ISSI) return data from January 1, 2023 to December 31, 2023. From the comparison of the Akaike Information Criterion (AIC) and Bayesian Information Criterion (BIC) values to see the best model for forecasting ISSI data, the best model in forecasting ISSI data is the Bayesian MS-GARCH model with the smallest AIC value of -252.544 and BIC value of -237.0894, compared to the MS-GARCH model the AIC value is smaller than the Bayesian MS-GARCH model of -251.1048 and its BIC is -235.6502.   Volatilitas merupakah salah satu aspek penting dalam analisis keuangan yang memainkan peran krusial dalam manajemen resiko dan pengambilan keputusan investasi. Pemodelan volatilitas harga aset keuangan menjadi suatu tantangan karena sifatnya yang dinamis dan kompleks. Salah satu pendekatan yang digunakan untuk mengatasi masalah ini adalah model GARCH. Pada masalah volatilitas kecenderungan terjadinya perubahan struktur pada data yang lebih kompleks sehingga tidak bisa digunakan model GARCH, untuk mengatasi hal ini digunakan model Markov Switching GARCH (MS-GARCH) untuk mengatasi masalah perubahan struktur data. Selanjutnya digunakan juga model Bayesian yang dikombinasikan dengan model MS-GARCH untuk mengatasi jumlah sampel yang kecil. Penelitian ini menggunakan data return Index Saham Syariah Indonesia (ISSI) dari tanggal 1 Januari 2023 hingga 31 Desember 2023. Dari hasil perbandingan nilai Akaike Information Criterion (AIC) dan Bayesian Information Criterion (BIC) melihat model terbaik untuk meramalkan data ISSI, diperoleh model terbaik dalam meramalkan data ISSI adalah model Bayesian MS-GARCH dengan nilai AIC yang terkecil yaitu sebesar -252,544 dan nilai BIC yaitu -237.0894, dibandingkan pada model MS-GARCH nilai AICnya lebih kecil dibandingkan model Bayesian MS-GARCH sebesar -251,1048 dan BIC nya sebesar -235.6502.
PENINGKATAN KEMAMPUAN LOGIKA MATEMATIKA MELALUI PRAKTIK CODING Bahri, Susila; Wellyanti , Des; Maiyastri, Maiyastri; Baqi, Ahmad Iqbal; Zulakmal, Zulakmal; Narwen, Narwen
Community Development Journal : Jurnal Pengabdian Masyarakat Vol. 5 No. 1 (2024): Volume 5 No 1 Tahun 2024
Publisher : Universitas Pahlawan Tuanku Tambusai

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31004/cdj.v5i1.24654

Abstract

Banyak usaha telah dilakukan guru SMAN 3 Pariaman dalam meningkatkan logika matematika para siswanya. Namun usaha tersebut terbukti belum berhasil secara signifikan. Oleh karena itu dilakukan pelatihan pembuatan Coding yang dapat mengasah dan meningkatkan kemampuan logika matematika para siswa melalui penyusunan algoritma penyelesaian masalah. Dari hasil kuesioner diperoleh bahwa 84,2% siswa menyatakan bahwa praktik membangun algoritma dalam rangka menyusun Coding suatu masalah matematika, sangat membantu dalam meningkatkan kemampuan logika mereka.