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Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika
Published by Universitas Cokroaminoto Palopo
ISSN : 26158132     EISSN : 26157667     DOI : 10.30605/proximal
Core Subject : Education,
Mathematics
Proximal publishes research results, literature studies, and scientific papers on mathematics and mathematics education. Published scientific studies include Mathematics Teaching, Development of Mathematics Education, Mathematical Sciences, Applied Mathematics, Actuarial Mathematics, and related fields.
Arjuna Subject : Matematika - Matematika Terapan
Articles 744 Documents
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Optimasi Pengaturan Lampu Lalu Lintas dengan Menggunakan Metode Webster (Studi Kasus Persimpangan Jalan Malino) Sahlan Sidjara; Adinda Maghfirah Tiham; Syamsuddin Mas’ud
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 9 No. 2 (2026): Exploring Mathematics through Education, Modeling, Finance, and Cultural Perspe
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v9i2.9459

Abstract

The increasing number of vehicles in Gowa Regency causes congestion at the Malino Road Intersection, triggering long queues and longer travel times, so that signal optimization is needed. This study aims to optimize traffic light duration by combining compatible graphs and the Webster method. The method used is applied research with a quantitative approach, utilizing primary data from field surveys and secondary data from the Transportation Agency. The research was conducted at the Department of Transportation of Gowa Regency and the Department of Mathematics, FMIPA UNM, from April to June 2025. Compatible graphs are used to determine the phase without conflict, while the Webster method is applied to calculate the optimum cycle time and the division of green and red times based on traffic load. The results show that all flows conflict with each other so that three phases are required with an optimum cycle time of 171 seconds. After optimization, there is an increase in green time on several approaches, especially Jalan Malino and Usman Salengke Selatan, as well as adjustments to red time. Overall, this arrangement improves intersection efficiency and smooths traffic flow although at some points there is an increase in waiting time that remains optimal.
Structural Patterns Of Knot Semantic Logic In Mbojo Pantun Ja'faruddin Ja'faruddin; M. Fadly; Khaerati Khaerati
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 9 No. 2 (2026): Exploring Mathematics through Education, Modeling, Finance, and Cultural Perspe
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v9i2.9544

Abstract

Mbojo Pantun (Patu Mbojo) is an important form of indigenous oral literature that preserves cultural values, moral teachings, and local wisdom within the Bima community of West Nusa Tenggara, Indonesia. While previous studies have primarily examined Mbojo Pantun from linguistic, literary, and cultural perspectives, its underlying mathematical semantic organization remains largely unexplored. This study aims to investigate the structural patterns of Mbojo Pantun using the Knot Semantic Logic (KSL) framework. A qualitative descriptive approach was employed by selecting representative pantun through purposive sampling from documented literary sources and oral traditions. The analysis involved identifying semantic knot points, constructing knot point matrices, examining recursive semantic correspondences, and classifying structural configurations according to the principles of Knot Semantic Logic. The results identified four semantic structures: Ring Composition, Chiasm, Parallelism, and Asymmetrical Semantic Structure (ASS). Ring Composition exhibits concentric semantic symmetry centered on a core concept, Chiasm demonstrates mirrored semantic correspondence, and Parallelism preserves sequential semantic repetition. In contrast, Asymmetrical Semantic Structure represents a linear progression of ideas without recursive semantic correspondence. These findings demonstrate that the semantic organization of Mbojo Pantun can be formally represented through mathematical structures, revealing that indigenous oral literature embodies systematic semantic patterns beyond its aesthetic and cultural functions. Furthermore, this study extends the application of Knot Semantic Logic from formal statements and religious discourse to traditional oral literature and proposes Asymmetrical Semantic Structure (ASS) as a complementary structural category within the KSL framework. The proposed framework contributes to the development of mathematical linguistics, ethnomathematics, and computational approaches to semantic structure analysis.
An Seir Model for Measles Transmission in North Sumatra Using the Fourth-Order Runge–Kutta Method for an Optimal Control Strategy Dwi Andini; R. Maisaroh Rezyekiyah Siregar
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 9 No. 2 (2026): Exploring Mathematics through Education, Modeling, Finance, and Cultural Perspe
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v9i2.9552

Abstract

Measles remains one of the major public health concerns in North Sumatra Province. This study aims to analyze the dynamics of measles transmission using the Susceptible–Exposed–Infected–Recovered (SEIR) model, which is solved numerically using the Fourth-Order Runge–Kutta (RK4) method and incorporates a control variable to evaluate the effect of reducing social contact on disease transmission. The study employs secondary data on measles cases obtained from the North Sumatra Provincial Health Office. Numerical simulations were performed using MATLAB with a step size of h = 1 day over a simulation period of 100 days. The results show that the SEIR model is capable of describing the dynamics of measles transmission through changes in the number of individuals in each compartment. The RK4 method provides stable numerical solutions, while the implementation of the control variable effectively reduces the number of individuals in the Exposed (E) and Infected (I) compartments. Among the four control scenarios examined, namely u = 0, u = 0.3, u = 0.6, and u = 0.9, the control level of u = 0.9 was found to be the most effective in suppressing the spread of measles.
Modeling the Number of Poor Population using Geographically Weighted Negative Binomial Regression (GWNBR) in North Sumatera Province Juliani Juliani; Ismail Husein
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 9 No. 2 (2026): Exploring Mathematics through Education, Modeling, Finance, and Cultural Perspe
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v9i2.9583

Abstract

Poverty remains a persistent and unevenly distributed development challenge across North Sumatra Province, so models capable of capturing this regional variation are urgently needed to support more precisely targeted poverty alleviation policies. This study develops a model for the number of poor people in 33 regencies/cities of North Sumatra Province in 2025 using Geographically Weighted Negative Binomial Regression (GWNBR). The response variable is the number of poor people (Y), while the explanatory variables are the Open Unemployment Rate (X1), Human Development Index (X2), Senior High School Education Level (X3), Labor Force Participation Rate (X4), and the percentage of households with access to proper sanitation (X5). The analysis consists of Poisson regression, Negative Binomial regression, Moran's I testing for spatial autocorrelation, the Breusch–Pagan test for spatial heterogeneity, and GWNBR using an Adaptive Bisquare weighting function. The Poisson model shows severe overdispersion, with a deviance-to-degrees-of-freedom ratio of 3,820.53. Moran's I indicates no significant spatial autocorrelation in the residuals (I = -0.0202; p = 0.1180), whereas the Breusch–Pagan test confirms significant spatial heterogeneity (BP = 15.7949; p = 0.0075). The GWNBR model produces a deviation of 18.420 and McFadden's R² of 0.150000 and captures differences in the effects of explanatory variables across locations. Based on significant local parameters, the study area is divided into two groups. Group 1 consists of Mandailing Natal Regency and South Nias Regency, with X1, X2, and X3 being significant, while Group 2 consists of the other 31 regencies/cities, with X2 and X3 being significant. These findings indicate that GWNBR can describe poverty-related factors locally and provide information relevant to location-specific poverty reduction policies. The results are expected to help local governments design region-specific poverty alleviation programs rather than relying on uniform province-wide policies, and it is recommended that future studies incorporate additional socioeconomic variables and more recent panel data to further improve the model's accuracy and policy relevance.

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