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AN INTEGRATED APPROACH OF GRA COUPLED WITH PRINCIPAL COMPONENT ANALYSIS FOR FRICTION STIR WELDED AM20 MAGNESIUM ALLOY Prasetya, Ichwanul Kahfi; Rifki, Kevin Agung Fernanda; Ahsan, Muhammad
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 4 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol17iss4pp2033-2046

Abstract

Magnesium alloys possess highly desirable properties and become increasingly popular in various practical applications due to their lightweight nature as a replacement for aluminum alloys. The purpose of this study is to optimize the process parameter to get the better mechanical properties of friction stir welded AM20 magnesium alloy using Taguchi Grey relational analysis (GRA) Coupled with Principal Component Analysis (PCA). The considered process parameters are plunging depth (PD), tool rotation speed (RPM), and welding speed (WS), shoulder diameter (SD), and. The experiments were carried out by using Taguchi's L18 factorial design of experiment. The processes parameters were optimized and ranked the parameters based on the W-GRG. The responses are ultimate tensile strength (UTS), yield strength (YS), percentage of elongation (% E), compressive stress (CS), bending angle, average hardness at the nugget zone (NZ), thermo mechanical affected zone (TMAZ) and heat affected zone (HAZ). Case-1 is preferable when high values of quality parameters are desired, while Case-2 is more suitable when some parameters needs to be low values. The optimal combination of parameters in case-1 is PD1, RPM3, WS3, and SD1, while the optimal combination of parameters in case-2 is PD1, RPM1, WS2, SD1. In both cases, the most influence response in is UTS, while the maximum influence of factor is SD. We suggest further research to be able to use confirmatory experiments so that we can find out how well the new setup is suggested.
FORECASTING NUMBER OF INTERNATIONAL TOURIST ARRIVALS USING MULTI INPUT INTERVENTION ARIMA MODEL Khusna, Hidayatul; Mashuri, Muhammad; Ahsan, Muhammad; Wibawati, Wibawati; Aksioma, Diaz Fitra; Suhermi, Novri
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 18 No 3 (2024): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol18iss3pp1539-1548

Abstract

In 2020, the Covid-19 pandemic caused a very significant impact resulting in the drastic decline in the number of international tourist visits. As the Covid-19 pandemic ends, the government reopen international flight to Indonesia in early 2022 to remark the revival of the tourism industry. To determine how big the impact of the Covid-19 pandemic as well as the recovery process on international tourist visits through Soekarno-Hatta, Ngurah-Rai, and Kualanamu airports in the coming period, forecasting is needed. The forecasting method utilized in this study is multi-input intervention analysis. The first input is caused by the outbreak of Covid-19 pandemic, while the second input is due to the international flight reopening. The type of intervention variable chosen is a step function because both inputs give permanent effect to the international tourist arrivals. The data used in this study are monthly international tourist arrivals based on the entrances to Soekarno-Hatta, Ngurah-Rai, and Kualanamu International Airports from January 2008 to September 2023, taken from the Central Bureau of Statistics website. Based on the results, it was found that the number of international tourist arrivals entering Soekarno-Hatta airport can be modelled using SARIMA (0,1,1)(0,1,0)12 with (b=2, s=1, r=0) and (b=2, s=[3], r=0) for first and second input of intervention variable, respectively. Furthermore, the number of international tourist visits through Ngurah-Rai airport was more appropriate to be modelled using SARIMA (1,1,1)(0,1,1)12 with intervention inputs (b=1, s=[2], r=0) and (b=4, s=0, r=1). In Kualanamu airport, the first intervention order is equal to that in Ngurah-Rai airport, with (b=3, s=[3], r=0) for second intervention input and SARIMA (0,1,1)(1,1,1)12 for pre-intervention data. The forecast results show that the number of international tourist arrivals entering Soekarno-Hatta, Ngurah-Rai, and Kualanamu international airports are already recovered to pre-pandemic conditions at a quick pace
MAXIMUM EXPONENTIALLY WEIGHTED MOVING AVERAGE WITH MEASUREMENT ERROR (USING COVARIATE METHOD) USING AUXILIARY INFORMATION FOR CEMENT QUALITY CONTROL Sellyra, Eirene Christina; Ahsan, Muhammad; Wibawati, Wibawati
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 18 No 2 (2024): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol18iss2pp1333-1348

Abstract

The main quality characteristic at XYZ Inc. that should be observed is Compressive Strength. Cement production quality control is carried out on the average and process variability jointly with the Max-EWMA control chart. Measurement error can be found in the Compressive Strength. It can affect the sensitivity of the control chart, so quality control will be carried out by considering the presence of measurement error. Handling measurement errors can be done through three approaches (covariate method, multiple measurements, and linearly increasing variance). This research only focuses on the covariate method. Auxiliary variables also explain variance in the production process, so they are also considered in this research, with Blaine used as an auxiliary variable. Therefore, the control chart that will be formed is the Max-EWMA ME (Covariate) AI. The Max-EWMA and Max-EWMA ME (Covariate) AI control charts show that the XYZ Inc. cement production process based on variability and process averages is simultaneously statistically controlled. The controlled Max-EWMA control chart has an upper control limit of UCL=1.503018, and parameters dan . Max-EWMA ME (Covariate) AI has in-control parameters . The Max-EWMA ME (Covariate) AI control chart is more sensitive than the Max-EWMA control chart. Cement production capabilities based on Compressive Strength have a Cpl and Cpk capability index of 1.54, which means that the cement production process is capable, consistent, and has high accuracy so that the quality has reached the target.
MONITORING THE SAUSAGE PRODUCT USING LANEY DEMERIT CHART BASED ANALYTICAL HIERARCHY PROCESS Landi, Farhan; Ahsan, Muhammad; Rifki, Kevin Agung Fernanda
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 18 No 4 (2024): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol18iss4pp2623-2638

Abstract

Ready-to-eat sausage is a food product that has a limited shelf life. Therefore, regularly monitoring the quality of packaged ready-to-eat sausage products is important to ensure that the products meet the established quality standards. Twelve types of product defects need to be observed in the final checking process to meet the quality standards, namely Wrinkle, Dots, Leaking, Product Stain, Non-standard Form, Poor Print Quality, Vacuum Leaks, Weak Ties, Body Defects, Uneven Length, Broken Node, and Small Stain. This study aims to apply the Laney Demerit Control Chart (LDCC) and Analytical Hierarchy Process-Integrated Statistical Process Control (AHP-ISPC) methods to monitor the quality of packaged ready-to-eat sausage production at XYZ Inc. The data is from the quality testing of ready-to-eat sausage products taken from XYZ Inc. for six months from April 1, 2023, until September 30, 2023. The findings reveal that conventional control charts (u control chart, demerit control chart, and AHP-based demerit control chart) exhibited oversensitivity because it is attributed to the large number of samples produced by the company, prompting the need for a more balanced approach. Implementing the Laney u control chart, Laney demerit control chart, and the AHP-based Laney demerit control charts successfully achieved statistical control in phase I. In contrast, phase II still demonstrated challenges, particularly with the AHP-based Laney Demerit Control Chart detecting the highest number of out-of-control points. This suggests that phase II remains statistically out of control, necessitating further analysis or corrective measures to enhance process stability. Additionally, the process capability analysis indicated that the production process during the specified period lacked capability, as evidenced by a capability index value below one (0.883).
Monitoring PH of Shrimp Water using Progressive Max Chart Rosyadi, Niam; Syahzaqi, Idrus; Ibrahim, Auron Saka; Sihotang, Raja Van Den Bosch; Ahsan, Muhammad; Mashuri, Muhammad
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 4 (2025): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i4.30255

Abstract

Control charts aim to reduce variability in the process and monitor for out-of- control processes. So far, the process of monitoring quality is usually carried out partially, namely monitoring the mean process and process variability. This approach is less effective and time-consuming because two separate charts must be created simultaneously. One alternative is to analyze both parameters simultaneously, such as through the Progressive Max Chart method (Mixed-Methods Research: Quantitative and Applied). The Progressive Max Chart is a control chart designed for monitoring both the mean and variability by considering the case of subgroup observations. This study uses a quantitative approach, combining primary data collection and simulations to generate findings through statistical analysis and quantifiable measurements. The purpose of this research is to compare methods such as the Progressive Max Chart, EWMA-Max, and Max Chart. The analysis results show that the Progressive Max Chart method performs better than the Max Chart and EWMA- Max Chart, both in terms of mean, variance, and mean-variance detection, for small shifts and large shifts. The control chart performance results provide optimal outcomes for monitoring out-of-control signals at subgroup sizes of n = 2, 3, 5. This is characterized by ARL₁ values that approach 1 more quickly. This method is applied to pH data from vannamei shrimp pond water located in Madura. The Progressive Max Chart method provides optimal results by maximizing the detection of in-control signals. Additionally, it is tested on synthesized data and demonstrates optimal performance in detecting both small and large shifts in mean, variance, and mean-variance.
Pengembangan Bahan Ajar Matematika Menggunakan Kvisoft Flipbook Maker Berbasis Problem Based Learning di Kelas VII MTs Yasrib Batu-Batu Yaya, Hidayatullah; Ahsan, Muhammad; Buhaerah, Buhaerah
RAINSTEK: Jurnal Terapan Sains dan Teknologi Vol. 6 No. 1 (2024): Maret
Publisher : Fakultas Sains dan Teknologi Universitas Kanjuruhan Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21067/jtst.v6i1.6587

Abstract

Penelitian ini bertujuan untuk mengetahui kevalidan, kepraktisan dan keefektifan bahan ajar matematika menggunakan Kvisoft Flipbook Maker berbasis Problem Based Learning di kelas 7 MTs Yasrib Batu-Batu. Jenis penelitian ini adalah Research and Development (Penelitian dan Pengembangan) dengan mengacu pada modifikasi dari Model Pengembangan Borg and Gall dan Model Pengembangan Instruksional (MPI) yang terdiri dari beberapa tahap yaitu: Pertama, tahap pendahuluan meliputi Research and Information Collecting, Planning. Kedua, tahap pengembangan meliputi Menulis Tujuan Instruksional, Menyusun Alat Penilaian Hasil Belajar, Menyusun Strategi Instruksional, Mengembangkan Bahan Instruksional, Validasi dan Revisi. Ketiga, tahap evaluasi dan revisi meliputi Preliminary Field Testing, Main Product Revission, Main Field Testing, Operational Product Revision, Dissemination and Implementation. Instrument yang digunakan dalam penelitian ini yakni lembar validasi ahli materi dan ahli media, angket respon siswa dan guru, serta tes hasil belajar siswa. Adapun hasil penelitian pegembangan ini adalah (1) Valid, hasil validasi bahan ajar ahli materi dan ahli media yaitu sebesar 3,7 kategori sangat valid. (2) Praktis, hasil angket respon siswa dan guru yaitu sebesar 3,6 kategori sangat praktis. (3) Efektif, hasil analisis tes hasil belajar siswa menggunakan SPSS yaitu: (a) Hasil uji Paired Sample T-Test diperoleh bahwa nilai Sig = 0,001 lebih kecil dari 0,05 artinya H0 ditolak dan otomatis H1 diterima. Sehingga dapat disimpulkan bahwa terdapat perbedaan hasil belajar sebelum dan sesudah penggunaan bahan ajar. (b) Hasil uji N-Gain diperoleh bahwa rata-rata ­N-Gain sebesar 0,71 artinya efektifitas bahan ajar berada pada kategori tinggi.
Meningkatkan Minat Belajar Matematika Melalui Pendekatan Contextual Teaching And Learning Dan Kemampuan Berfikir Kreatif Pada Siswa MTs Manbaul Ulum DDI Patobong Inna, Mutmainnah Ma'mun; Usman, Usman; Ahsan, Muhammad
RAINSTEK: Jurnal Terapan Sains dan Teknologi Vol. 6 No. 1 (2024): Maret
Publisher : Fakultas Sains dan Teknologi Universitas Kanjuruhan Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21067/jtst.v6i1.6606

Abstract

Dalam proses pembelajaran matematika di kelas masih banyak ditemui permasalahan. Salah satu masalah di kelas tersebut adalah kurangnya minat siswa dalam pembelajaran. Hal ini ditandai adanya sikap siswa yang cenderung bersikap pasif, enggan bertanya, takut atau malu untuk bertanya. Penelitian ini bertujuan untuk mengetahui pengaruh pendekatan pembelajaran dengan kemampuan berfikir kreatif siswa terhadap minat belajar matematika siswa. Penelitian ini dilakukan di MTs Manbaul Ulum DDI Patobong . Jenis penelitian yang digunakan adalah penelitian Quasi Experiment yang melibatkan dua kelompok yang diberikan perlakuan. Populasi penelitian ini adalah seluruh siswa kelas VIII MTs Manbaul Ulum DDI Patobong. Pengambilan data dilakukan dengan menggunakan tes untuk membedakan siswa yang memiliki kemampuan berfikir kreatif tinggi dengan siswa kreatif rendah, kemudian menggunakan angket (angket awal dan angket akhir). Uji ANAVA diterapkan untuk menganalisis data diperoleh pada signifikan 0,05. Hasil penelitian ini menunjukkan bahwa : (1) minat belajar siswa yang menggunakan pendekatan CTL lebih baik dari pada pembelajaran langsung; (2) minat belajar siswa yang memiliki kemampuan berfikir kreatif tinggi tidak berbeda dengan pemiliki berfikir kreatif rendah; (3) tidak terdapat interaksi antara pendekatan pembelajaran dengan tingkat kemampuan berfikir kreatif; (4) minat belajar siswa dengan kemampuan berfikir kreatif tinggi yang menggunakan pendekatan CTL tidak berbeda dengan pembelajaran langsung; (5) minat belajar siswa dengan kemampuan berfikir kreatif rendah yang menggunakan pendekatan CTL lebih baik daripada pembelajaran langsung. (6) minat belajar siswa yang menggunakan pendekatan CTL dengan kemampuan berfikir kreatif tinggi tidak berbeda dengan kreatif rendah; (7) minat belajar siswa yang menggunakan pendekatan pembelajaran langsung dengan kemampuan berfikir kreatif tinggi tidak berbeda dengan kreatif rendah.
Pengaruh Faktor dan Perilaku Konsumen pada Keputusan Pembelian di E-Commerce dan Pasar Konvensional Caswito, Ade; Octavia, Lia Nur; Adi, Tri Wahyu; Ahsan, Muhammad; Qalbi, Putri Mutiara; Simatupang, Hotmauli
Jurnal Minfo Polgan Vol. 13 No. 2 (2024): Artikel Penelitian
Publisher : Politeknik Ganesha Medan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33395/jmp.v13i2.14412

Abstract

Penelitian ini menganalisis faktor-faktor yang memengaruhi keputusan pembelian produk pada E-Commerce dan pasar konvensional di wilayah Jabodetabek dengan moderasi perilaku konsumen. Survei dilakukan terhadap 90 responden yang dipilih menggunakan teknik simple random sampling, dan analisis data dilakukan dengan bantuan SPSS. Hasil penelitian menunjukkan bahwa pada E-Commerce, kualitas produk memiliki pengaruh positif dan signifikan terhadap keputusan pembelian, sementara kemudahan akses dan promosi memiliki pengaruh negatif yang signifikan. Model regresi menunjukkan hubungan yang sangat kuat, dengan nilai R sebesar 0,922 dan R² sebesar 0,849, yang berarti 84,9% variabilitas keputusan pembelian dijelaskan oleh variabel independen. Pada pasar konvensional, kualitas produk tetap menjadi faktor utama dengan pengaruh positif dan signifikan terhadap keputusan pembelian, sementara variabel lain, seperti harga, kemudahan akses, promosi, dan kepercayaan konsumen, tidak signifikan. Model regresi memiliki nilai R sebesar 0,929 dan R² sebesar 0,864, menunjukkan bahwa 86,4% variabilitas keputusan pembelian dijelaskan oleh variabel independen. Kesimpulannya, kualitas produk adalah faktor dominan yang memengaruhi keputusan pembelian pada kedua platform. Penelitian ini memberikan wawasan bagi pelaku bisnis untuk meningkatkan kualitas produk dan mengembangkan strategi pemasaran yang efektif untuk mempertahankan loyalitas konsumen. Kata Kunci: Perilaku Konsumen, Pengambilan Keputusan, E-Commerce, Pasar Konvensional
ADAPTIVE EXPONENTIALLY WEIGHTED MOVING AVERAGE WITH MEASUREMENT ERROR (COVARIATE) WITH AUXILIARY INFORMATION MAXIMUM FOR CEMENT QUALITY CONTROL Sellyra, Eirene Christina; Ahsan, Muhammad; Wibawati, Wibawati
Parameter: Jurnal Matematika, Statistika dan Terapannya Vol 4 No 1 (2025): Parameter: Jurnal Matematika, Statistika dan Terapannya
Publisher : Jurusan Matematika FMIPA Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/parameterv4i1pp29-46

Abstract

The Shewhart control chartexhibits limitations in detecting small process shifts and monitors the mean and variance separately. To address these shortcomings, this study introduces the Adaptive EWMA with Measurement Error (Covariate Method) and Auxiliary Information Max (AEWMA ME C AI Max) control chart. This novel approach integrates memory-based monitoring, joint mean-variance detection, measurement error correction through the covariate method, utilization of auxiliary variables, and adaptive adjustment mechanisms to enhance sensitivity across various shift magnitudes. The AEWMA ME C AI Max chart was applied to cement production data from PT XYZ, using Blaine fineness as an auxiliary variable for monitoring compressive strength. Comparative analysis demonstrates that the adaptive chart consistently produces control statistics closer to the upper control limit compared to the non-adaptive Max-EWMA ME C AI chart, validating its superior sensitivity in shiftdetection. Furthermore, the cement production process at PT XYZ was found to be statistically capable, with a lower capability index (Ppl) and process performance index (Ppk) of 1.45, indicating consistent compliance with lower specification limits and centered process performance. These results affirm the practical effectiveness of the AEWMA ME C AI Max chart in enhancing process monitoring and capability assessment in industrial applications.
Using Reflective Thinking to Find the Best Solutions to Combinatorics Problems Mappanyompa, Buhaerah; Ahsan, Muhammad; Ibrahim, Abdullah
Jurnal Riset Pendidikan Matematika Vol. 12 No. 2 (2025): November 2025
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/jrpm.v12i2.84156

Abstract

This research explores the reflective thinking process in solving combinatorial problems to achieve optimal solutions. Seventy students who have taken or are taking combinatorial courses participated in this study. The research procedure includes selecting suitable participants, distributing combinatorial questions that have been tested for quality to ensure validity and reliability, and conducting tests. After the test, interviews were conducted with several randomly selected students. Data from tests and interviews were analyzed based on reflective thinking indicators. This study uses several instruments, such as the Myers-Briggs Type Indicator and the Matching Familiar Figures Test, to identify students' reflective thinking characteristics and tendencies. Data analysis includes analyzing the results, comparing the results between reflective students for each instrument, and formulating conclusions. The results showed that reflective thinking helped students evaluate their strategies, identify mistakes faster, and adjust approaches based on new understandings gained from reflection. This approach has proven effective in supporting more creative and systematic problem-solving and helping achieve optimal solutions according to research objectives.