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All Journal Jurnal Educatio FKIP UNMA Jurnal Info Sains : Informatika dan Sains Bulletin of Science Education International Journal of Educational Research Excellence (IJERE)
Peranginangin, Andreas Perdamenta
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Arts Humanities Computer Science & IT Education Languange, Linguistic, Communication & Media Mathematics Social Sciences Other

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Education and Mathematics Models (A Case Study of Epidemiology of Virus Spread) Peranginangin, Andreas Perdamenta
Bulletin of Science Education Vol. 3 No. 3 (2023): Bulletin of Science Education
Publisher : CV. Creative Tugu Pena

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51278/bse.v3i3.940

Abstract

Viruses are the cause of diseases that affect the human body and can lead to pandemics and epidemics in various countries. No new content has been added beyond the original text. Viruses are the cause of diseases that affect the human body and can lead to pandemics and epidemics in various countries. The language used is clear, objective, and value-neutral, with a formal register and precise word choice. The text adheres to conventional structure and format, with consistent citation and footnote style. The text is free from grammatical errors, spelling mistakes, and punctuation errors. The purpose of this research is to determine the SIS model for the spread of viral diseases, such as Covid-19 and bird flu, and their resolution behavior. The model is formed by creating a flow diagram of the disease spread using the SIS (Susceptible, Infected, Susceptible) model. The sentences and paragraphs create a logical flow of information with causal connections between statements. The study revealed two equilibrium points: the disease-free equilibrium point and the endemic equilibrium point. To analyze the stability of the disease-free equilibrium point, linearization around the equilibrium point was used. The disease-free equilibrium point is asymptotically stable if the basic reproduction number is less than one, indicating that the disease will disappear after a certain period of time. Numerical simulations were conducted to analyze the behavior of the disease model. Keywords: Education Models, Mathematics Models, SIS (Susceptible, Infected, Susceptible)
Development of Optimization Algorithms for Transportation Problems with Capacity Constraints Peranginangin, Andreas Perdamenta
Jurnal Info Sains : Informatika dan Sains Vol. 14 No. 01 (2024): Informatika dan Sains , Edition March 2024
Publisher : SEAN Institute

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Abstract

Transportation movements in urban areas often compete for road space with other users. Inappropriate selection of transportation routes between origin and destination pairs for goods travel results in increased transportation costs. The main goal for transport operators and road users, other than transport, is to minimize travel costs. This research aims to investigate road sections that can be used for transportation at minimum costs for all origin-destination pairs of goods involved in the road transportation network system to form an optimum transportation network design. The optimization objective is to maximize the difference in total transportation costs of the transportation network system between existing conditions and conditions after optimization. A mathematical model is used to represent road user traffic behavior. The optimization process consists of two stages of activity, referred to as bi-level programming: the lower level and the upper level. The lower level provides information about road user behavior on the road section, as demonstrated in the traffic loading process. The user equilibrium traffic loading with diagonalization is used as the solution technique. The upper level employs the GA-I solution technique, which is a genetic algorithm with additional operators. The research presents a method for optimizing urban transportation networks using GA-I. The method is significantly robust and provides an optimum solution in a short time on a hypothetical network.
Analysis of Graph Theory in Transport Network Optimisation: A Mathematical Approach and Its Applications Peranginangin, Andreas Perdamenta
Jurnal Educatio FKIP UNMA Vol. 10 No. 4 (2024)
Publisher : Universitas Majalengka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31949/educatio.v10i4.10219

Abstract

Transportation network optimization is a crucial aspect of urban planning, logistics, and mobility management. Graph theory provides a mathematical framework for modeling and improving transportation systems by representing networks as nodes and edges, enabling efficient route planning, traffic flow optimization, and resource allocation. This study explores the application of graph theory in optimizing transportation networks, focusing on key algorithms such as Dijkstra’s Algorithm, Minimum Spanning Tree (MST), and Network Flow Models. Using a qualitative research approach, this paper examines recent advancements, case studies, and theoretical perspectives in transportation optimization. The study highlights how graph-based methods enhance efficiency, reduce congestion, and improve cost-effectiveness in various transportation domains, including urban traffic management, public transit scheduling, air traffic control, and logistics networks. Additionally, it discusses computational challenges and potential solutions, particularly in large-scale networks requiring high-performance computing and artificial intelligence integration. Through a comprehensive literature review, this research identifies critical trends, such as the fusion of graph theory with AI, IoT, and blockchain technologies, which contribute to real-time data-driven decision-making in smart cities. The findings suggest that graph theory remains a fundamental tool for designing and optimizing resilient and sustainable transportation networks. The paper concludes with recommendations for future research, emphasizing the need for interdisciplinary approaches and emerging technologies to further enhance transportation network optimization.
Application of Number Theory in Cryptography Peranginangin, Andreas Perdamenta
International Journal of Educational Research Excellence (IJERE) Vol. 3 No. 1 (2024): January-June
Publisher : PT Inovasi Pratama Internasional

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55299/ijere.v3i1.733

Abstract

Life has changed in this era of technology. With technology, information can be searched easily and quickly, starting from the difficulty of finding information. Besides, people can easily store information in software or on the Internet. But you don't want this information to get out to anyone who doesn't want it. Therefore, data security is needed, which is applied using the science of cryptography, which uses material from number theory. This research will look at various cryptographic algorithms and processes for encrypting and decrypting data. This study uses library research or (library research). Library research involves gathering detailed information from numerous sources including literature, books, notes, journals, and other sources.
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