cover
Contact Name
Muhammad Ikhwan
Contact Email
m.ikhwan@usk.ac.id
Phone
+6285260358953
Journal Mail Official
m.ikhwan@usk.ac.id
Editorial Address
Department of Mathematics Building C - Faculty of Mathematics and Natural Sciences Universitas Syiah Kuala Jl. Syech Abdurrauf - Kopelma Darussalam Kecamatan Syiah Kuala Banda Aceh, 23111 - Indonesia
Location
Kab. aceh besar,
Aceh
INDONESIA
Transcendent Journal of Mathematics and Applications
ISSN : -     EISSN : 29641845     DOI : -
Transcendent Journal of Mathematics and Applications has the scope of mathematics and applications of mathematics, but does not rule out other fields. The scope are Mathematics (Algebra, Discrete Mathematics, Number Theory, Geometry, Graph Theory, Analysis, and Differential Equations) and its Applications (Physical Modeling, Disease Modeling, Social Modeling, Optimal Control and Control Systems, Engineering Mathematics, Economics and Business Mathematics, Ethnomathematics, Statistics, Informatics, Data Analysis, and Education).
Articles 37 Documents
Analysis of Academic Characteristics of USK FMIPA Undergraduate Students Using the Chaid Method AR, Fitriana
Transcendent Journal of Mathematics and Applications Vol 2, No 2 (2023)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v3i1.36550

Abstract

The purpose of this research is to find out the most significant factors to the students study period, to divide the data into smaller groups based on the relationship between the response variables ande the explanatory variables. The characteristics and educational background are gender, school origin, major, supervisors level of education, Grade Point Average (GPA), and trial grades. The method displays a graphical tree structure in the form of a diagram that explains the relationship between categorical response variables and categorical explanatory variables so that it is easy to interpret. The test used to produce a tree diagram is the Chi-square test and Bonferroni correction. In this study, data were used on graduates of the faculty of Mathematics and Natural Sciences USK class of 2017 who graduated from september 2020 to August 2022. The result of the study showed that the most significant factors for the period of study were GPA, school origin, supervisor education,level, type gender, and major. In terms of classification accuracy, the percentage accuracy of the model correctly classifying the study period is 71,8%.
Efficiency Analysis of Self-Estimated Pricing at PTPN I Regional 7 Using a Multi-Channel Model Prasetiyo, Muhammad Khoirul; Zakaria, La
Transcendent Journal of Mathematics and Applications Vol 4, No 1 (2025)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v4i1.45965

Abstract

This study analyzes the efficiency of the Self-Estimate Price (HPS) process in the Analysis and Finance Division of PT Perkebunan Nusantara I Regional 7 after the organizational restructuring in April 2024. The restructuring led to the separation of PT Perkebunan Nusantara I and IV Regional 7, affecting the number of staff handling the HPS process. The research uses the Multi-Channel Single-Phase queuing model with Poisson arrival distribution and exponential service time, based on data collected from April to December 2024. Unlike previous studies using data before the restructuring and involving three servers (Dita Arfi, 2024), this study focuses on two servers in the new organizational context. The results show significant inefficiencies, including a system utilization rate of 0.8, a probability of no customers in the system of 11.1%, and an average queue length of 2.84 packages. Additionally, the average waiting time in the queue is 5 days, and the total time in the system is 8 days. The study concludes that workload imbalance and limited human resources are the leading causes of inefficiency, and recommends redistributing tasks or adding staff to improve efficiency. This research provides a new perspective on post-restructuring efficiency.
An Analysis of Internal Factors Affecting the Study Continuation Interest of High School Students in Banda Aceh Toward Universitas Syiah Kuala Nurhasanah, Nurhasanah; Pranata, Aditya; AR, Fitriana; Mulyani, Riska
Transcendent Journal of Mathematics and Applications Vol 4, No 1 (2025)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v4i1.44757

Abstract

Interest is a psychological tendency that drives individuals to choose certain objects or activities based on their needs, later manifested through attention and active engagement. In high school students (SMA), interest in pursuing higher education typically begins to form in the 11th grade as awareness of future planning increases. However, a phenomenon observed in several high schools in Aceh, particularly in Banda Aceh, shows that many high-achieving students prefer to continue their studies outside the province, despite the presence of a well-accredited university Universitas Syiah Kuala (USK) which offers 67 study programs across 12 faculties and serves around 30,000 students. This study aims to verify this trend using a quantitative survey approach conducted among public high school students in Banda Aceh. The main focus is to identify the best model representing student interest data and to reveal factors influencing their decision to choose USK. Using logistic regression due to the binary categorical nature of the dependent variable (interested vs. not interested), the study found that at a 10% significance level, three variables significantly influence students interest: affiliation ability (X), goal orientation (X), and hope for the future (X). Among these, goal orientation (X) had the strongest influence, with an odds ratio of 1.712. This indicates that the stronger a students academic or career goals, the higher their tendency to choose Universitas Syiah Kuala for further education.
Comparison Of Fuzzy Time Series Chen and Fuzzy Time Series Markov Chain Methods in Forecasting Consumer Price Index in Banda Aceh Syahrini, Intan; Tamimi, Afifah; Zuhra, Rahma; Amri, Saiful; Oktavia, Rini
Transcendent Journal of Mathematics and Applications Vol 4, No 1 (2025)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v4i1.46243

Abstract

The Consumer Price Index (CPI) is utilized to determine a country's inflation and deflation rate. Inflation decreases the buying power of consumers; meanwhile, continuous deflation will lead to a recession. characterized by a stagnant economy and a diminished willingness among manufacturers to innovate. The CPI trends serve as a valuable economic indicator and a standard for manufacturing costs that reflect price fluctuations at the consumer level for specific goods and services. This study aims to forecast the CPI in Banda Aceh, Indonesia, utilizing CPI data in the region from January 2017 to October 2022 by applying the Fuzzy Time Series Chen and Fuzzy Time Series Markov Chain methods. Forecasting accuracy is assessed by the Mean Absolute Percentage Error (MAPE) and Mean Absolute Error (MAE). The Fuzzy Time Series Chen method obtained a MAPE of 2.98% and an MAE of 3.64, whereas the Fuzzy Time Series Markov Chain method attained a MAPE of 1.07% and an MAE of 1.27. This indicates that the predicting accuracy of the Fuzzy Time Series Markov Chain surpasses that of Chen's Fuzzy Time Series, leading to the conclusion that CPI forecasting in Banda Aceh City utilizing the Fuzzy Time Series Markov Chain approach is more precise.
Comparative Analysis of Joint Life Endowment Insurance Premium Reserves: Zillmer Method Versus Prospective Method and The Impact of Zillmer Level Hafnani, Hafnani; Maulidi, Ikhsan; Nurmaulidar, Nurmaulidar; Alindo, Sesda; Apriliani, Vina
Transcendent Journal of Mathematics and Applications Vol 4, No 1 (2025)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v4i1.46121

Abstract

The insurance company collects premium reserves obtained from the difference between the value of benefits and the value of premium payments at a time of coverage. One method of premium reserve is prospective reserve, where the calculation is based on the difference between the present value of the benefits to be received and the present value of the net premiums that will come in accordance with a predetermined annuity. This research aims to determine the amount of premium and premium reserves in joint life endowment insurance using the Zillmer method which uses the concept of prospective reserves with gross premiums as the basis for calculations. Then we compare the result with premium reserves using prospective methods, and see the effect of the Zillmer level variable on the amount of premium reserves. The results of this study can be concluded that the value of joint life joint insurance premiums increases according to age when starting insurance and the reserves of joint life insurance premiums always increase every year, until at the end of the insurance coverage premium reserves will reach the same value as the amount of compensation. The value of the premium reserve is influenced by the value of the Zillmer level used; the greater the Zillmer level value, the greater the profit earned by the life insurance company.
Implementation of Minimum Demand Method (MDM) in Decide an Initial Feasible Solution of Transportation Problem Nurmaulidar, Nurmaulidar; Yuni, Syarifah Meurah; Fauzan, Muhammad Atta
Transcendent Journal of Mathematics and Applications Vol 4, No 1 (2025)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v4i1.49237

Abstract

This study investigates the effectiveness of the Minimum Demand Method (MDM) in determining an initial feasible solution (IBFS) for the Rastra rice distribution problem managed by Perum Bulog in West Sumatra, Indonesia. Unlike traditional methodsNorth-West Corner (NWC), Least Cost (LC), and Vogels Approximation Method (VAM)MDM prioritizes allocation to destinations with the smallest demand, aiming to minimize cost fragmentation and improve solution quality. The original transportation model was unbalanced, requiring a dummy source to achieve feasibility. IBFS values were computed using POM-QM for Windows 4, followed by optimality verification via the Modified Distribution (MODI) method. Results show MDM yields the lowest total cost at IDR 25,227,010, outperforming NWC (IDR 27,967,340), LC (IDR 25,821,810), and VAM (IDR 25,821,810). MODI confirmed MDMs solution as optimal, with zero improvement indices, validating its efficiency. Compared to the next-best method, MDM achieves a 2.3% cost reduction, and a 9.8% saving relative to NWC. This confirms MDMs superiority in generating high-quality IBFS without increasing computational complexity. The study demonstrates that MDM is not only simple and intuitive but also highly effective for large-scale public logistics systems, offering a practical alternative to conventional techniques in real-world distribution planning.
Analysis of Classical Spatial Regression Models for Human Development Index (HDI) in Sumatra Island Miftahuddin, Miftahuddin; Dilla, Putri Paras; Gunawan, Eddy
Transcendent Journal of Mathematics and Applications Vol 4, No 1 (2025)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v4i1.49229

Abstract

This study applies classical spatial regression models (C-SRM) to analyze the determinants of the Human Development Index (HDI) across 154 cities in Sumatra Island. Unlike standard regression, C-SRM accounts for spatial dependencewhere neighboring regions influence each others development outcomes. Three C-SRM specifications are evaluated: Spatial Autoregressive (SAR), Spatial Error Model (SEM), and Spatial Autoregressive Moving Average (SARMA). HDI, measuring education, income, and health, is inherently spatial due to interregional mobility, infrastructure spillovers, and policy diffusion. Using data from 2019, 2020, and their average (20192020), 13 potential predictors were tested, with variable selection yielding 12, 11, and 11 final variables, respectively. Results show HDI in Sumatra improved steadily from 2010 to 2020, with most cities classified as medium development. Among C-SRMs, the SEM model consistently outperformed SAR and SARMA based on AIC and log-likelihood values, indicating that unobserved spatially correlated factors significantly affect HDI variation. Key significant determinants include poverty rate, poverty gap index, population density, unemployment rate, labor force size, average years of schooling, access to school facilities, sanitation coverage, prevalence of health complaints, and nurse density. The findings confirm that classical spatial models provide a robust, interpretable framework for understanding regional development patterns without requiring complex modern specifications. This study supports the use of SEM as an effective tool for policymakers targeting equitable human development across spatially interconnected regions in Sumatra.

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