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Pattimura International Journal of Mathematics (PIJMath)
Published by Universitas Pattimura
ISSN : -     EISSN : 28306791     DOI : https://doi.org/10.30598/pijmathvol1iss2year2022
Core Subject : Education,
Mathematics
Pattimura International Journal of Mathematics (PIJMath) is provided for writers, teachers, students, professors, and researchers, who will publish their research reports about mathematics and its is applications. Start from June 2022, this journal publishes two times a year, in May and November
Arjuna Subject : Matematika - Matematika Terapan
Articles 35 Documents
 1   2   3   4 
Application of Sequential Linear Goal Programming Method and Modified Simplex Method for Production Planning Optimization Eka Desi Kirana Djaelani; Venn Yan Ishak Ilwaru; Yopi Andry Lesnussa
Pattimura International Journal of Mathematics (PIJMath) Vol 3 No 1 (2024): Pattimura International Journal of Mathematics (PIJMath)
Publisher : Pattimura University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/pijmathvol3iss1pp01-08

Abstract

Production planning is an important thing in company management. Every company aims to seek maximum profit in its business activities, so it must be able to utilize its resources as optimally as possible. This study was conducted to determine whether or not any production planning that has been implemented at Istana Roti Hilyah Bakery is optimal. This research aimed to maximize revenue and profit, minimize production costs and raw material usage and optimize production quantities using the sequential linear goal programming method and the simplex modification method with the assistance of LINGO software. Based on the study's results, the revenue increased by IDR 60,000, and the profit increased by IDR 66,679. The minimization value of production costs decreased by IDR 6,679, with the production amount of White Bread as many as 60 pcs, Almond Crumble Bread as many as 45 pcs, Chocolate Crumble Bread as many as 50 pcs, Wheat Bran Bread as many as 55 pcs, Sweet Comb Bread as many as 82 pcs and Jam Comb Bread as many as 84 pcs.
Implementation of Centroid Clustering Method for Industrial Clusterization in Regencies and Cities in Maluku Province M. Y. Matdoan; Rahmi Fadhilah; N. S. Laamena; Dinda Ayu Safira; S. B. Loklomin
Pattimura International Journal of Mathematics (PIJMath) Vol 3 No 1 (2024): Pattimura International Journal of Mathematics (PIJMath)
Publisher : Pattimura University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/pijmathvol3iss1pp09-14

Abstract

The industrial sector has a vital role in economic development. In addition to increasing state revenue, the industrial sector can also provide business opportunities that make a positive contribution to efforts to equalize community welfare. The limited employment opportunities available in Maluku Province need to be balanced with the increase in the labor force, which significantly impacts the high unemployment. Basically, the high unemployment rate will significantly impact economic development, which aims to improve the standard of living of the people in Maluku Province. Centroid Linkage is the average of all objects in the cluster, and the distance. The distance between the cluster centroids is what separates two clusters. Cluster centroid is the center value of observations on variables in a set of cluster variables. The purpose of this research is to cluster the distribution of industries in regencies and cities in Maluku Province using data from BPS Maluku Province. This study obtained the results that there are 3 clusters formed in the clusterization of industry in regencies and cities in Maluku Province, namely cluster 1 consisting of Tanimbar Islands Regency. Cluster 2 consists of Buru, South Buru, West Seram, East Seram, Central Maluku, Tual City, Southeast Maluku, and Aru Islands Regency. Furthermore, Cluster 3 consists of Ambon City and Southwest Maluku.
A Generalization of Chio’s Condensation Method Any Muanalifah; Yuli Sagita; Nurwan Nurwan; Aini Fitriyah; Rosalio Artes Jr
Pattimura International Journal of Mathematics (PIJMath) Vol 3 No 1 (2024): Pattimura International Journal of Mathematics (PIJMath)
Publisher : Pattimura University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/pijmathvol3iss1pp15-22

Abstract

The Chio condensation method is a method to compute the determinant of a matrix A where by reducing the order of the matrix to a matrix. In this paper, we will generalize the condition where can be equal to zero. To compute the determinant, we can choose any element of matrix A that is not equal to zero as a pivot element.
Integration Of Computational Thinking In Mathematics Learning In Senior Secondary Education From 2019-2023: Systematic Literature Review Martini Martini; Neneng Aminah
Pattimura International Journal of Mathematics (PIJMath) Vol 3 No 1 (2024): Pattimura International Journal of Mathematics (PIJMath)
Publisher : Pattimura University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/pijmathvol3iss1pp31-38

Abstract

Mathematical thinking is very important for everyone and must be trained from childhood to face and solve everyday problems. To overcome problems and adapt to changes that occur in the era of globalization, changes in the industrial revolution 4.0 The world of education must be able to act quickly and precisely. Computational Thinking (CT), also known as computational thinking, is a process that involves formulating problems and finding solutions, as well as using these solutions to process information effectively to solve problems. The first objective, of this research it is hoped that someone will find it easy to observe problems, find solutions to problems, solve problems, and be able to develop solutions or solutions to problems. Apart from that, computational thinking hones us to think more effectively and efficiently. Second, to obtain a theoretical framework that can help solve the problem being researched to reveal concepts relevant to the case, especially in research that studies more deeply about research.Integration of Computational Thinking in Mathematics Learning in Senior Secondary Education. Stages In this research there are five stages, formulating the problem (1), searching for literature (2), selecting appropriate literature search results (3), analyzing several literature from test results (4), and making conclusions (5). The results show that articles reviewed by researchers regarding Computational thinking are associated with technology namely, from 14 articles referring to 9 articles that passed QA.
Application of the Weighted Product Method in Determining the Selection of Exemplary Students at Public Junior High School 67 Central Maluku Yulyana Berhitu; Dorteus L. Rahakbauw; Venn Yan Ishak Ilwaru
Pattimura International Journal of Mathematics (PIJMath) Vol 3 No 1 (2024): Pattimura International Journal of Mathematics (PIJMath)
Publisher : Pattimura University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/pijmathvol3iss1pp23-30

Abstract

To consider student learning outcomes each semester, the school usually selects exemplary students each year. It is done so that the enthusiasm for learning continues to increase. It is hoped that the selection of exemplary students can be a benchmark for students so that they continue to develop and deepen the knowledge they are learning. Some of the problems that occur in every school, especially at Public Junior High School 67 Central Maluku, in determining exemplary students are less effective and still require a lot of time to process and know the results of determining exemplary students. Based on the analysis that had been done, researchers used the Weighted Product method in processing data to produce exemplary students, which aimed to reduce the occurrence of errors in determining exemplary students and made it easier for schools to determine exemplary students. The Weighted Product method is one of the methods used to solve decision-making systems by considering criteria and weights. From the results of calculations using the Weighted Product method and manual calculations, it was found that Yunita D Firnanda was ranked first with the results of calculations using the Weighted Product method of 0.0149912 and manual calculations of 964, for the second rank using the Weighted Product method of 0.014292153 and manual calculations of 957 on behalf of Jordi Parinussa and the third rank on behalf of Sri Meilans Kinyari with the results of calculations using the Weighted Product method of 0.014146707 and manual calculations of 946.
Optimization of Flat Construction Implementation Time Using Critical Path Method and Project Evaluation and Review Technique Adis Harni Tuanaya; Venn Yan Ishak Ilwaru; Yopi Andry Lesnussa
Pattimura International Journal of Mathematics (PIJMath) Vol 3 No 2 (2024): Pattimura International Journal of Mathematics (PIJMath)
Publisher : Pattimura University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/pijmathvol3iss2pp39-50

Abstract

This research aims to develop a system that effectively solves construction project management problems using PERT (Project Evaluation and Review Technique) and CPM (Critical Path Method) methods for the ASN flat construction project in Piru City, Maluku Province, Indonesia. In this study, the project activity data was analyzed using the PERT Method, which includes realistic, optimistic, and pessimistic durations; then, it is used to calculate the estimated time of each activity. Meanwhile, CPM was used to determine the critical path of the project. The results showed that project management can be done more accurately and efficiently with these two methods, minimizing the risk of delays. The optimal duration of the project obtained is 49 weeks with a probability value of 98.87% with the critical path obtained, namely A-B-E-F-G-J-K-L-M.
Determination of Premium Price for Rice Crop Insurance in Gorontalo Province Based on Rainfall Index with Black Scholes Method Ana Nadiyyah; Emli Rahmi; Salmun K. Nasib; Agusyarif Rezka Nuha; Nisky Imansyah Yahya; La Ode Nashar
Pattimura International Journal of Mathematics (PIJMath) Vol 3 No 2 (2024): Pattimura International Journal of Mathematics (PIJMath)
Publisher : Pattimura University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/pijmathvol3iss2pp51-62

Abstract

With its complex topography, Gorontalo Province experiences significant rainfall variations that impact the agricultural sector, particularly rice crops. These variations can cause substantial losses for farmers. One way to address uncertain probabilities caused by rainfall is through agricultural insurance. This research aims to calculate the value of agricultural insurance premiums based on the rainfall index. The Black- Scholes method is used to calculate the premiums, while the Burn Analysis method is employed to determine the rainfall index. The research results classify the rainfall index values in Gorontalo Province into 7 (seven) percentiles. The lowest is at the 20th percentile, with 17.37 mm and a premium value of IDR 1,574,190, while the highest is at the 80th percentile, with 17.65 mm and a premium value of IDR 2,154,574. This indicates that the higher the rainfall, the greater the premium to be paid.
Wind Speed Category Characteristics in Bone Bolango Regency: A Markov Chain Approach Using the Beaufort Scale and Metropolis-Hastings Algorithm Saiful Pomahiya; Nurwan Nurwan; Nisky Imansyah Yahya; Salmun K. Nasib; Isran K. Hasan; Asriadi Asriadi
Pattimura International Journal of Mathematics (PIJMath) Vol 3 No 2 (2024): Pattimura International Journal of Mathematics (PIJMath)
Publisher : Pattimura University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/pijmathvol3iss2pp63-68

Abstract

This study models daily wind speed transitions in the Bone Bolango Regency using the Markov Chain Monte Carlo (MCMC) method and the Metropolis-Hastings algorithm, employing the Beaufort scale for wind speed classification. The research aims to predict the steady-state distribution of wind speeds and evaluate their temporal stability. Daily wind speed data from 2023, provided by the Meteorology, Climatology, and Geophysics Agency (BMKG), were categorized into three levels: calm, light breeze, and fresh breeze, based on the Beaufort scale. Transition probabilities were estimated using the Beta distribution, and simulations via the Metropolis-Hastings algorithm yielded the steady-state distribution. Results show a significant tendency for transitions from calm and light breeze categories to fresh breezes, with varying probabilities. Notably, calm conditions exhibit a 69% likelihood of transitioning to a light breeze. This research contributes to improving wind speed prediction models by integrating statistical algorithms with meteorological classifications. The findings have implications for enhancing short-term weather forecasts and developing predictive systems for regions with similar weather patterns.
Optimization Of The Water Distribution Network of Regional Water Utility Company (PDAM) Using Prim Algorithm Nurviana Nurviana; Jahrohani Harahap; Fitra Muliani
Pattimura International Journal of Mathematics (PIJMath) Vol 3 No 2 (2024): Pattimura International Journal of Mathematics (PIJMath)
Publisher : Pattimura University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/pijmathvol3iss2pp69-76

Abstract

Graph Theory is an old part of mathematics but has many applications. Graphs are used to represent discrete objects and the relationships between them. One of its applications is in the field of network optimization to find the minimum total pipe length. This research will implement Prim algorithm in optimizing the water distribution network of PDAM Tirta Keumueneng Langsa City with the help of the MATLAB software program. The data used is in the form of secondary data, namely a map image of the water distribution network area and the length of the pipe used in PDAM Tirta Keumueng Langsa City. Based on this data, it can be represented as a graph, which can then be obtained a minimum spanning tree using Prim algorithm with the help of the MATLAB software program. The results showed that the minimum total length of pipe produced by Prim’s algorithm was 105.080,8 meters. This means that it can be said that the application of the Prim algorithm provides an optimal total pipe length, thereby saving 10.113 meters of PDAM water distribution network pipes from the initial total length of 115.193,8 meters.
Application of Demerit Chart and Fuzzy Demerit Chart for Monitoring Paper Production M. Y. Matdoan; A. H. Talakua; Marsono Marsono; D. A. Safira; A. S. Suriaslan; M. Zulfadhli; A. W. Rukua
Pattimura International Journal of Mathematics (PIJMath) Vol 3 No 2 (2024): Pattimura International Journal of Mathematics (PIJMath)
Publisher : Pattimura University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/pijmathvol3iss2pp77-86

Abstract

Statistical Process Control (SPC) is an important method in quality control to monitor and improve production processes. Control charts are one of the SPC tools that are often used to quickly detect the causes of process variation so that improvements can be made before more nonconforming products are produced. The u chart is commonly used to monitor the number of defects in a production unit. However, this control chart has limitations in handling variations in defect severity, so demerit and fuzzy demerit control charts were developed to assign weights to defects based on their severity. Demerit and fuzzy demerit control charts have been applied in various production cases, but the study of the application of demerit and fuzzy demerit control charts in the industrial field, especially the paper industry, has never been done. The purpose of this study is to apply demerit and fuzzy demerit control charts to monitor and evaluate the quality of the paper production process at PT. Bosowa Media Grafika (Tribun Timur). The data used in this study are secondary data obtained from research conducted by Ilham (2012). The results obtained that the demerit chart and the fuzzy demerit chart show that the paper production process at PT Bosowa Media Grafika (Tribun Timur) is still in a stable condition (incontrol) in each observation. This shows that demerit and fuzzy demerit control charts have the same performance in monitoring the paper production process.

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