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INDONESIA
EIGEN MATHEMATICS JOURNAL
Published by Universitas Mataram
ISSN : 26153599     EISSN : 26153270     DOI : -
Core Subject : Education,
Mathematics
Eigen Mathematics Journal mempublikasikan artikel yang berkontribusi pada informasi baru atau pengetahuan baru terkait Matematika, Statistika, dan Aplikasinya. Selain itu, jurnal ini juga mempublikasikan artikel berbentuk survey dalam rangka memperkenalkan perkembangan terbaru dan memotivasi penelitian selanjutnya dalam bidang matematika, statistika, dan aplikasinya.
Arjuna Subject : -
Articles 134 Documents
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Optimizing Basic Competition Selection Book Distribution Costs Using the North West Corner and Modified Distribution Methods Alfian Putra Ardana; Dimas Anggrawan Hadinata; Nuzla Af'idatur Robbaniyyah
Eigen Mathematics Journal Vol 9 No 1 (2026): June
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v9i1.358

Abstract

High distribution costs represent a major challenge in delivering Basic Competency Selection (BCS) books across various regions in Indonesia, primarily due to inefficient allocation of shipments. This study aims to optimize distribution costs by applying transportation methods through a combination of the North West Corner (NWC) and Modified Distribution (MODI) methods. The data used are quantitative, obtained through direct interviews with distributors, including transportation costs, supply capacities from each source, and demand at each destination. The NWC method is employed to generate an initial feasible solution, which is then improved using the MODI method to achieve an optimal solution. The results indicate that the initial distribution cost of Rp4,533,000 can be reduced to Rp3,651,000 after optimization, reflecting a cost efficiency of 19.46%. Therefore, the combination of NWC and MODI methods is proven to be effective in minimizing distribution costs and can serve as a practical decision-support tool in logistics planning, particularly in educational material distribution.
An Application of the Quantile Regression Model to the Relationship Between Digitalization and Productivity Growth in Indonesia Ray Sastri; Rofiq Nur Rizal
Eigen Mathematics Journal Vol 9 No 1 (2026): June
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v9i1.371

Abstract

Ordinary regression models are often inappropriate for economic performance metrics due to their tendency to have non-Gaussian distributions, heavy tails, and extreme outliers. This study analyzes the link between digitalization and provincial labor productivity growth in Indonesia using a Quantile Regression Model to capture the full, varied range of regional economic dynamics. The empirical framework assesses the combined influence of digital transformation and the underlying economic structures on productivity trajectories by using a panel data set of 34 provinces from 2017 to 2023. The baseline estimates suggest that the digital-productivity relationship is highly non-linear and more pronounced at the 50th quantile in which the direct effects of digital infrastructure, household consumption and sectoral value-added are statistically significant. Importantly, the inclusion of macro-digital interaction terms significantly changes the dynamics of the model. The results show that the marginal effect of digitalization on regional industrial upgrading is not marginal. Instead, it is highly conditional on a synergistic alignment between infrastructure, intensity of use, digital skills, and strong underlying economic baselines to effectively catalyze labor productivity gains.
English: English M. Fadillah; Marwan Marwan; Lailia Awalushaumi
Eigen Mathematics Journal Vol 9 No 1 (2026): June
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v9i1.355

Abstract

This study aims to analyze the dynamical behavior of a predator–prey model incorporating a Holling type II functional response and an anti-predator mechanism. The methods employed include dynamical systems analysis, namely equilibrium point determination, stability analysis using the Jacobian matrix, and bifurcation analysis. This analytical approach is supported by numerical simulations to construct phase portraits and illustrate system trajectories around equilibrium points. The results reveal various complex behaviors, particularly changes in stability and the emergence of bifurcation phenomena, which are influenced by variations in key parameters such as the saturation parameter, anti-predator parameter, and predator–prey interaction rate. Specifically, three types of bifurcations are identified: Hopf, transcritical, and saddle-node bifurcations. Hopf bifurcation leads to stable periodic oscillations, transcritical bifurcation results in an exchange of stability between equilibrium points, while saddle-node bifurcation causes the appearance or disappearance of equilibrium points. Numerical simulations further support these findings by illustrating system behavior before, at, and after bifurcation. Overall, the interaction between functional response saturation and anti-predator mechanisms plays a crucial role in determining the stability and dynamics of predator–prey populations.
A Comparative Analysis of Classical Contractive Mappings: Sharp Constants, Inclusion Conditions, and Picard Iteration Performance Syamsuddin Mas'ud
Eigen Mathematics Journal Vol 9 No 1 (2026): June
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v9i1.362

Abstract

There are some of the classical contractive mappings introduced by Banach, Kannan, Chatterjea, Reich, Hardy--Rogers, and \'{C}iri\'{c}. They remain fundamental in fixed point theory. While their theoretical properties are well documented, a detailed and systematic comparison of the convergence performance of Picard iterations among these classes is still lacking in the literature. This study presents a comparative analysis from a numerical perspective on a complete metric space. We check the sharp constants of their contractions, inclusion relationships, establish a sufficient condition for a Chatterjea contraction to be a Reich contraction, and evaluate the practical performance of Picard iteration through simple numerical experiments. We give two concrete examples, a linear map and a quadratic polynomial for this numerical experiment. They are provided to show that the intersection of all six classical classes is not limited to linear mappings. A hierarchical diagram and structural comparison table are also given to support our study. The integration of theoretical results and numerical validation offers a clearer and more practical reference for students and researchers in studying the concepts of fixed point theory.

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