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Zero : Jurnal Sains, Matematika, dan Terapan
ISSN : 2580569X     EISSN : 25805754     DOI : 10.30829
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Articles 184 Documents
Analysis of the Stability of The Smoking Distribution Model with Educational Factors and Return to Smoking Factors Hasibuan, Iman Kamarullah; Faigle, Ulrich; Ikhwan, Ali; Hutapea, Tri Andri; Nasution, Hamidah
ZERO: Jurnal Sains, Matematika dan Terapan Vol 8, No 2 (2024): Zero: Jurnal Sains Matematika dan Terapan
Publisher : UIN Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30829/zero.v8i2.23477

Abstract

Smoking has become a serious health problem that occurs in various countries including Indonesia. Smoking causes a person to experience various health problems and also has an impact from exposure to cigarette smoke. Mathematical modeling is one of the techniques to present complex systems into mathematical models of problems that occur in the real world in the form of mathematical statements. This study aims to analyze the stability of the smoker distribution model based on the parameters  to obtain simulation results of the smoker distribution system model with education factors and smoking recurrence factors. The method used in this research is literature study. The model built is a modification of the model (Syari'ah & Prawoto 2022), which is formed in the compartment diagram used to construct the model. The model used in this study is the PLSQ model. From the model, the smoker-free equilibrium point and the non-smoker-free equilibrium point can be determined. Furthermore, linearization is carried out on the system of equations so that the Jacobian matrix is obtained which is used to find eigenvalues, by determining the basic reproduction number to analyze the type of stability of the equilibrium point. Then, numerical simulation is done using matlab 23b software with the Runga-Kutta method of Order 4. Based on the results of the discussion, the stability analysis states that the smoker-free equilibrium point will be stable when   and the non-smoker-free equilibrium point will be stable when . So that by adding transmission by heavy smokers and passive smokers, it takes longer to reach the equilibrium point.
Implementation of the Critical Path Method in Optimizing the Orthodox Black Tea Processing Anggraini, Suci; Sormin, Corry
ZERO: Jurnal Sains, Matematika dan Terapan Vol 8, No 2 (2024): Zero: Jurnal Sains Matematika dan Terapan
Publisher : UIN Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30829/zero.v8i2.23491

Abstract

PTPN IV Regional 4 memegang peranan strategis dalam produksi teh hitam, khususnya melalui metode pengolahan teh hitam ortodoks. Sebagai penghasil teh berkualitas tinggi, PTPN IV Regional 4 menghadapi tantangan dalam memastikan efisiensi operasional di setiap tahapan produksi, mulai dari pelayuan daun teh hingga sortasi dan pengemasan. Dalam upaya mengoptimalkan proses pengolahan teh, banyak metode yang dapat digunakan, salah satunya adalah Critical Path Method (CPM). Critical Path Method (CPM) merupakan suatu teknik yang digunakan untuk menentukan rangkaian kegiatan terpenting (paling kritis) dalam suatu proyek atau pekerjaan, yang menentukan waktu penyelesaian proyek secara keseluruhan. Berdasarkan analisis yang telah dilakukan, diperoleh waktu optimal proses pengolahan teh hitam ortodoks yaitu selama 3.665 menit atau 61 jam 5 menit dengan lintasan kritis yang diperoleh yaitu pada kejadian 1-2-3-4-5-6-7-8-12-15-16-17 atau pada kejadian ABCDEFGKNOP. Kegiatan yang berada pada jalur kritis antara lain penimbangan tunas segar (A), analisis mutu tunas segar (B), distribusi WT (C), pengocokan (D), pelayuan (E), uji pelayuan (F), penggulungan OTR (G), fermentasi serbuk I (K), pengeringan (N), sortasi (O), dan pengemasan (P).
Graph Coloring with Welch-Powell Algorithm in Determining Lecture Schedule Tanaya, Tarisa Azrina; Syahmarani, Aghni
ZERO: Jurnal Sains, Matematika dan Terapan Vol 8, No 2 (2024): Zero: Jurnal Sains Matematika dan Terapan
Publisher : UIN Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30829/zero.v8i2.21027

Abstract

Penataan jadwal perkuliahan di perguruan tinggi melibatkan pembagian waktu, ketersediaan dosen, dan ketersediaan ruang kelas. Salah satu algoritma yang dapat digunakan untuk membuat jadwal yang baik tanpa adanya konflik adalah algoritma Welch Powell. Pada Program Studi Matematika FMIPA USU terdapat 61 mata kuliah untuk semester ganjil dan 44 mata kuliah untuk semester genap tahun 2023/2024. Oleh karena itu, diperlukan pewarnaan graf untuk mengatur jadwal perkuliahan agar tidak terjadi konflik antara pembagian waktu, ketersediaan dosen, dan ketersediaan ruang kelas. Mata kuliah direpresentasikan dalam bentuk grafik dan selanjutnya grafik tersebut diwarnai dengan algoritma Welch-Powell yang menghasilkan 12 bilangan kromatik atau 12 warna sehingga terdapat 12 sesi optimum yang dibutuhkan untuk penjadwalan perkuliahan pada semester ganjil dan genap. Berdasarkan hasil tersebut, warna yang sama dapat dijadwalkan pada hari dan waktu yang sama dengan kelas yang berbeda.
Cluster Analysis of Factors Affecting the Amount of Shipping Costs PT. Indah Logistik Cargo Lampung Branch Using Average Linkage Method Herindri, Bernadhita; Yoka, Ranara Athlla; Sawitri, Riza
ZERO: Jurnal Sains, Matematika dan Terapan Vol 8, No 2 (2024): Zero: Jurnal Sains Matematika dan Terapan
Publisher : UIN Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30829/zero.v8i2.21581

Abstract

Cluster analysis analyzes similar elements as different and independent cluster research objects (not interconnected). PT. Indah Logistik Cargo is a company that provides goods and motorcycle shipping services through three channels: land, sea, and air. This research has three objectives. The first is to categorize postage prices based on the type of goods and services provided so that customers can easily see the options available and understand the differences between each option. Thirdly, categorize prices so companies can offer special promotions or discounts for certain services. Fourth, cluster prices so companies can offer special promotions or discounts for certain services. Based on the analysis results, 3 cluster groups were formed: cheap, medium, and expensive. It can be concluded that the group with low postage prices (Rp 16,160 to Rp 622,160) consists of Medan, Bengkulu, Palembang, Padang, and Pekanbaru; the group with medium postage prices (Rp 40,400 to Rp 888,800) is only Banda Aceh; and the group with high postage prices (Rp 62,620 to Rp 1,555,400) consists of Tanjung Pinang and Pangkal Pinang.
Intelligent Actuator Control in Smart Agriculture through Machine Learning and Sensor Data Integration Azmi, Fadhillah; Gibran, M. Khalil; Fawwaz, Insidini; Anugrahwaty, Rina; Saleh, Amir
ZERO: Jurnal Sains, Matematika dan Terapan Vol 9, No 1 (2025): Zero: Jurnal Sains Matematika dan Terapan
Publisher : UIN Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30829/zero.v9i1.24421

Abstract

Smart agriculture leverages Internet of Things (IoT) technology to develop intelligent greenhouses capable of monitoring and responding to environmental changes in real time. This study proposes the use of machine learning to analyze real-time sensor data—such as temperature, humidity, water level, and soil nutrient levels (N, P, K)—to determine the optimal timing for activating actuators, including fans, irrigation systems, and water pumps. In the initial stage, the study utilized the "IoT Agriculture 2024" dataset from Kaggle, which consists of 37,922 records and 13 attributes describing crop and environmental conditions. This dataset was used to train a robust machine learning model based on gradient boosting to support intelligent actuator control decisions. The model demonstrated strong predictive accuracy, achieving 99.62%. In the final stage, the model was evaluated in a simulated IoT-based agricultural system using synthetic sensor data designed to mimic real-world readings of temperature, humidity, soil moisture, and nutrient concentrations. The model achieved a high validation accuracy of 99.55%, indicating its reliability and robustness within the simulated environment. These results demonstrate that the integration of machine learning with real-time sensor data is an effective strategy for automating actuator control in smart greenhouses. The proposed approach has the potential to reduce manual intervention, optimize resource utilization, and improve overall agricultural productivity. This study contributes to the advancement of adaptive, data-driven precision agriculture systems that support long-term food security.
Influence of World Development Indicators on Human Development: A Multiple Linear Regression and PSI Ranking Approach Irvan, Irvan; Zahedi, Zahedi; Nusantara, Badai Charamsar; Romantica, Krishna Prafidya; Siswadi, Siswadi; Nasution, Marah Doly
ZERO: Jurnal Sains, Matematika dan Terapan Vol 9, No 1 (2025): Zero: Jurnal Sains Matematika dan Terapan
Publisher : UIN Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30829/zero.v9i1.24087

Abstract

This study investigates the influence of World Development Indicators (WDI) on the Human Development Index (HDI) within the regional context of Asian countries. Understanding the interaction between these indicators and HDI holds strategic relevance for enhancing the formulation of evidence-based development policies. The analysis focuses on five key indicators: population growth, voice and accountability, government effectiveness, GDP per capita growth, and control of corruption. These variables represent essential dimensions of governance and socioeconomic advancement. The dataset comprises information from 46 Asian countries sourced from the World Bank. The methodological framework integrates multiple linear regression to evaluate the magnitude of each variable’s contribution to HDI. The Preference Selection Index (PSI) is utilized to establish a performance-based ranking of countries grounded in the selected indicators. Results demonstrate that population growth and government effectiveness have significant impacts on HDI outcomes, while the remaining variables exhibit no statistically significant effects. Comparative analysis using PSI reveals inconsistencies between development indicator values and actual HDI positions. South Korea shows the highest consistency between quantitative rankings and HDI classification. These findings offer practical insights for policy prioritization by identifying the most influential determinants of human development in the region. The study emphasizes the importance of tailored development strategies and encourages future research to strengthen model robustness through control variable inclusion, sensitivity analysis, and non-linear modeling approaches.
An Applied Computer Mathematics Approach to Transliteration: YOLOv8-Based Detection of Harah Jawoe Script AR, Khairan; Ahmadian, Hendri; Nasihah, Aesha Durratul; Hamdan, Abd Mujahid
ZERO: Jurnal Sains, Matematika dan Terapan Vol 9, No 1 (2025): Zero: Jurnal Sains Matematika dan Terapan
Publisher : UIN Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30829/zero.v9i1.24174

Abstract

Transliteration of traditional scripts such as Harah Jawoe, a regional variant of Jawi used in Acehnese manuscripts, is essential for preserving and understanding historical texts. While previous studies have focused on isolated character recognition, this research introduces a word-level transliteration approach using the YOLOv8 convolutional neural network (CNN) architecture. A dataset of 9,000 augmented images derived from the Hikayat Aceh manuscript was used to train and evaluate four YOLOv8 variants (small, medium, normal, and big). The results show that the big model achieved the most stable and reliable performance, with a peak mAP50–95 of 72.4% and an accuracy of 99.95%. These findings highlight the model’s capability to handle the structural complexity of Harah Jawoe script at the word level. This study offers a novel contribution by integrating object detection techniques with low-resource script transliteration, with implications for AI-driven cultural preservation and the digital accessibility of Southeast Asian manuscript heritage
Implementation of Entry Age Normal and Projected Unit Credit Methods in Pension Fund Calculation Harahap, Tua Halomoan; Maysarah, Maysarah; Alisawi, Wisam Ch.; Jabbar, Abeer H.; Muhammad, Faisal
ZERO: Jurnal Sains, Matematika dan Terapan Vol 9, No 1 (2025): Zero: Jurnal Sains Matematika dan Terapan
Publisher : UIN Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30829/zero.v9i1.24304

Abstract

Pension funds are financial assets provided to individuals who have retired due to reaching retirement age. PT. Pasifik Arta Indonesia, a company established in Medan for approximately five years, lacks a comprehensive understanding of pension funding, specifically concerning normal contributions and actuarial obligations for employees and agencies using the EAN and PUC methods. This study aims to provide an overview of pension fund calculations at PT. Pasifik Arta Indonesia by comparing the two methods. The results show that normal contributions under the PUC method increase with the length of service, whereas the EAN method maintains constant contributions regardless of service length. Both methods share a common trait: the younger the employee at the time of hiring, the lower the normal contribution. Regarding actuarial obligations, both methods exhibit increasing values with longer service, with the EAN method resulting in higher obligations compared to the PUC method.
A Multi-Objective Optimization Model For Sustainable Supply Chain Network Fadhillah, Nurul; Sawaluddin, Sawaluddin; Suwilo, Saib
ZERO: Jurnal Sains, Matematika dan Terapan Vol 9, No 1 (2025): Zero: Jurnal Sains Matematika dan Terapan
Publisher : UIN Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30829/zero.v9i1.24654

Abstract

Sustainable supply chains provide a strategic approach to tackling global challenges associated with operational efficiency and the three dimensions of sustainability: economic, environmental, and social. This research develops a multi-objective optimization model that integrates all three elements into the supply chain network. This model encompasses objectives like profit maximization, carbon emission reduction, waste minimization, enhancement of worker welfare, and resource optimization. This model's constraints embody actual restrictions, encompassing production and distribution capacity, demand, emissions, and social welfare. This case study of Mega Motor Company demonstrates the practical use of the methodology. This model is assessed using synthetic data through the Mixed-Integer Linear Programming (MILP) approach to determine its efficacy in meeting sustainability objectives. The evaluation results indicate that this model can deliver balanced solutions to enhance long-term efficiency and sustainability. This model functions as a strategic decision-making instrument for firms aiming to thoroughly establish a sustainable supply chain system.
Hamming Weight-Based Simulation of Correlation Power Analysis for AES Key Extraction Siahaan, Andysah Putera Utama; Ehkan, Phaklen; Ullah, Insaf
ZERO: Jurnal Sains, Matematika dan Terapan Vol 9, No 1 (2025): Zero: Jurnal Sains Matematika dan Terapan
Publisher : UIN Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30829/zero.v9i1.24294

Abstract

This study investigates the effectiveness of Correlation Power Analysis (CPA) using the Hamming Weight model to extract AES encryption keys in a fully software-simulated environment. By leveraging Python programming, we emulate power traces not from hardware devices but through Hamming Weight calculations derived from byte-level operations during AES encryption. Simulated plaintexts are randomly generated, and key hypotheses are evaluated using Pearson correlation between expected bit-switching activity and simulated traces. The method achieved approximately 50% accuracy with just 10 plaintexts and up to 85% accuracy when using over 1,000 simulated inputs. Correlation coefficients above 0.90 were consistently observed for most key bytes. While the simulation avoids the complexity of real-world noise and hardware interference, it also lacks authentic electrical characteristics. This highlights both the novelty and the limitation of a software-only CPA framework. The findings underline the vulnerability of AES to side-channel attacks and suggest countermeasures like masking to reduce risk.