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Perspectives in Mathematics and Applications (PERMATA)
Published by PT. Kreasi Pustaka Mandiri (Krestama)
ISSN : -     EISSN : 31103847     DOI : -
Core Subject : Economy, Science, Engineering,
Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Engineering Physics
Perspectives in Mathematics and Applications (PERMATA) is a high-quality, peer-reviewed, open-access journal published by Kreasi Pustaka Mandiri (Krestama), with biannual issues in June and December, and has a registration number e-ISSN 3110-3847 (media online). PERMATA provides a dedicated platform for researchers, academics, and practitioners to publish rigorous theoretical and applied mathematical research. The journal covers: Pure Mathematics, including algebra, analysis, geometry, topology, and number theory. Applied Mathematics, spanning computational mathematics, mathematical modeling, optimization, statistics, and operations research. Interdisciplinary Applications, integrating mathematics with science, engineering, economics, and education advancements. PERMATA aims to bridge theory and real-world applications by fostering the exchange of ideas across disciplines, contributing to the ongoing development of mathematical sciences.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 5 Documents
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Search results for , issue "Vol 1 No 02 (2025): Desember" : 5 Documents clear
Analisis implementasi matriks Leslie pada model laju pertumbuhan populasi perempuan Musyarofah, Siti; Sofhya, Herlinda Nur’afwa
Perspectives in Mathematics and Applications Vol 1 No 02 (2025): Desember
Publisher : Kreasi Pustaka Mandiri (Krestama)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.66256/permata.v1i2.11

Abstract

Demographic problems in Indonesia are important because Indonesia is ranked fourth as the country with the largest population. One way to determine future population growth is to predict female population growth. The Leslie matrix is a model used to predict and determine female population growth. The general form of the Leslie matrix is a square matrix in which the first row entries are the female fertility rates, the subdiagonal entries are the female survival rates, and the remaining entries are zero. The purpose of the study was to predict the rate of female population growth in Indonesia. The results showed that the Leslie matrix, influenced by the initial population, female fertility rate, and female survival rate, had a dominant eigenvalue of 1.001, indicating that the rate of female population growth in Indonesia tends to increase.
Optimasi biaya distribusi talenan menggunakan algoritma heuristik penghematan Clark dan Wright (studi kasus di PT Titan) Abdul Latip, Lutpi
Perspectives in Mathematics and Applications Vol 1 No 02 (2025): Desember
Publisher : Kreasi Pustaka Mandiri (Krestama)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.66256/permata.v1i2.12

Abstract

One of the main challenges in PT Titan’s distribution process is the inaccurate determination of vehicle routes and improper selection of vehicle types and capacities, which leads to inefficient distribution costs. Although PT Titan already has a distribution route, the author proposed a more cost-effective alternative using the Clark and Wright Saving Heuristic, which efficiently solves vehicle routing problems by allowing a single vehicle to serve multiple agents in a single trip. The research aimed to identify the current distribution routes for cutting board products, apply the algorithm to improve them, and determine the most optimal routes after optimization. Graphs were used to visualize the revised distribution plan. The results showed two significant optimizations in mileage and cost. For the L300 and Ankle Box vehicles, mileage was reduced by 9 km, and distribution costs were reduced by 2.8% (Rp 250,000 per trip). Meanwhile, the Double ankle and L300 vehicles achieved a mileage reduction of 55.13%, corresponding to 1,386 km. They cost savings of 28.1% or Rp2.500,000 The final optimized routes consist of Route 1 (Depot–Klaten–Boyolali–Depot) and Route 2 (Depot–Bogor–Tangerang–Depot) using Doubel ankle vehicle, and Route 3 (Depot–Kuningan–Cikijing–Depot) using an L300 vehicle, resulting in a more efficient and cost-effective distribution system for PT Titan.
Analisis teoritis indeks Hyper-Wiener dalam graf yang diturunkan dari struktur aljabar Abdurahim; Umam, Ashadul
Perspectives in Mathematics and Applications Vol 1 No 02 (2025): Desember
Publisher : Kreasi Pustaka Mandiri (Krestama)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.66256/permata.v1i2.19

Abstract

The Hyper-Wiener index is a widely used topological descriptor that quantifies the structural complexity of graphs, particularly those arising from algebraic structures. This paper presents a structured synthesis of key theorems related to the Hyper-Wiener index in coprime graphs, non-coprime graphs, and power graphs constructed from the integer modulo group and the dihedral group. Adopting a systematic literature review approach, we compile and restate formal results, including explicit formulas and proven properties. Each theorem is analyzed in relation to the algebraic structure of its underlying group and the resulting graph topology. Our findings highlight how group-theoretic properties—such as order, operation, and element interactions—directly impact the Hyper-Wiener index. This paper is intended to support researchers by providing a conceptual bridge between group theory and topological graph theory, and by identifying potential directions for future work.
Penerapan integral tentu terhadap pengaruh lebar cakram dan bentuk kaliper pada pengereman sepeda motor di jurusan otomotif SMK Maskur, Muhammad
Perspectives in Mathematics and Applications Vol 1 No 02 (2025): Desember
Publisher : Kreasi Pustaka Mandiri (Krestama)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.66256/permata.v1i2.24

Abstract

The application of mathematical material in everyday life is part of the expected curriculum achievement in contextual mathematics learning. One of them is integral learning. The benefits of learning materials for solving everyday life problems can help calculate the area or volume needed. One area where mathematical concepts can be applied is the modification of a motorcycle's braking system. Modifying the braking system is important in maintaining driving safety. In this study, the aim is to determine the effectiveness of the brake system by applying definite integrals to changes in the disc and caliper widths. In addition, to determine the performance results of each change in the width of the disc and changes in the shape of the caliper. In this study, researchers used a qualitative approach. Considering the operational enhancements observed in motorcycle disc brake systems, alterations to the caliper, independent of disc plate modifications, prove more efficacious than adjustments to disc plate width while maintaining the original caliper piston configuration.
Peta Penelitian SEIRS-Vaksin COVID-19: Analisis Tren, Temuan, dan Tantangan Model Matematika Fauzan, Muhamad Fahri; Ramadhani, Alya; Maywanti, Dara; Fahmi, Aban Subanul; Sukmaangara, Bayu
Perspectives in Mathematics and Applications Vol 1 No 02 (2025): Desember
Publisher : Kreasi Pustaka Mandiri (Krestama)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.66256/permata.v1i2.25

Abstract

The control of the COVID-19 pandemic requires mathematical models that are able to accommodate complex immune dynamics, especially waning immunity phenomena and vaccination interventions. This study conducted a Systematic Literature Review using the PRISMA protocol to map trends, findings, and methodological challenges in SEIRS-Vaccination modeling. Of the 80 articles identified in the initial stage, 56 articles met the inclusion criteria and were analyzed. Furthermore, 11 articles were selected through purposive sampling techniques as representative samples for in-depth comparative analysis of five main methodology categories: Deterministic (ODE), Optimal Control, Fractional Order, Data Assimilation/Stochastic, and Spatial. The results of the literature synthesis reveal a significant paradigm shift from classical deterministic models that focused on stability analysis  static towards a more adaptive model. Specifically, this study identifies the use of the Ensemble Kalman Filter for estimation of dynamic parameters and Optimal Control Theory for resource allocation strategies as the dominant methodological trends. The model's findings consistently validate that vaccination rate is the most sensitive intervention parameter, but its long-term effectiveness is highly dependent on the duration of immunity. The study concludes the need to develop a hybrid model that integrates stochastic approaches and optimal control to generate more precise policy recommendations in the future.

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