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Yopi Andry Lesnussa
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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 5 Documents
 1 
Search results for , issue "Vol 3 No 2 (2024): Pattimura International Journal of Mathematics (PIJMath)" : 5 Documents clear
Optimization of Flat Construction Implementation Time Using Critical Path Method and Project Evaluation and Review Technique Tuanaya, Adis Harni; Ilwaru, Venn Yan Ishak; Lesnussa, Yopi Andry
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 Nadiyyah, Ana; Rahmi, Emli; Nasib, Salmun K.; Nuha, Agusyarif Rezka; Yahya, Nisky Imansyah; Nashar, La Ode
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 Pomahiya, Saiful; Nurwan, Nurwan; Yahya, Nisky Imansyah; Nasib, Salmun K.; Hasan, Isran K.; 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; Harahap, Jahrohani; Muliani, Fitra
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 Matdoan, M. Y.; Talakua, A. H.; Marsono, Marsono; Safira, D. A.; Suriaslan, A. S.; Zulfadhli, M.; Rukua, A. W.
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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