Article Per Year (5 Year)
p-Index From 2021 - 2026
0.23
P-Index
This Author published in this journals
All Journal Jurnal Pendidikan Matematika (JUDIKA EDUCATION)
Melinasari, Wiwit
Unknown Affiliation
Education Mathematics

Published : 1 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 1 Documents
Search

 1 
Kajian Keberadaan Nilai Eigen dalam Struktur Matriks Aljabar Min-Plus Dan Relevansinya terhadap Industri Pertahanan Melinasari, Wiwit; Sulistyadi, Edy; Jandhana, Ida Bagus Made Putra; Suroto, Suroto
Jurnal Pendidikan Matematika : Judika Education Vol. 9 No. 3 (2026): Jurnal Pendidikan Matematika:Judika Education
Publisher : Institut Penelitian Matematika, Komputer, Keperawatan, Pendidikan dan Ekonomi (IPM2KPE)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31539/scwvf968

Abstract

This study aims to analyze the existence of eigenvalues in the min-plus algebra matrix structure and to explain their relevance to shortest path problems in defense logistics systems. The method used is a literature study of sources discussing the theory of eigenvalues, eigenvectors, precedence graphs, minimum mean weight of elementary circuits, and the application of eigenvalues in the min-plus algebra matrix structure to shortest path determination. The results show that eigenvalues in the min-plus algebra matrix structure always exist due to the existence of the minimum mean weight of elementary circuits in the precedence graph of the min-plus algebra matrix structure. These eigenvalues have a mathematical interpretation as the minimum cycle time of a system, making them relevant for application in optimizing defense logistics distribution routes. The conclusion of this study shows that the existence of eigenvalues in the min-plus algebra matrix structure can serve as a mathematical basis for more efficient shortest path planning, particularly in minimizing delays in logistics distribution in the defense sector.   Keywords: Min-plus Algebra, Precedence Graph, Defense Logistics, Eigenvalues, Shortest Path  
Co-Authors Jandhana, Ida Bagus Made Putra Sulistyadi, Edy Suroto Suroto