Max Plus Algebra Application In Air Defence Systems

Air defence is one of the vital systems in national defence. This system generally includes several processes, namely detection by radar, object identification and decision making. The level of success really depends on the accuracy of decision-making. However, it is not yet known for certain which processes critical processes in decision-making. In this research, we will discuss the application of max plus algebra in determining which process of the workflow for air defence systems is the most critical one. Graphical interpretation of the system using graphs and Timed Petri Nets to make it easier to understand and analyse. The research results show that the success of the entire process depends on the readiness of the radar in carrying out surveillance of the coverage area. This can be seen from the critical circuit, which only depends on the place relating to the situation. Keywords: Max plus algebra, Timed Petri Net, air defence system.

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Publication Details

Journal
Jurnal Derivat Jurnal Matematika dan Pendidikan Matematika
Published
2025-08-25
DOI
https://doi.org/10.31316/j.derivat.v12i2.8357
Primary Topic
Ocular and Laser Science Research
Type
article
Field-Weighted Citation Impact
0.00
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article

Max Plus Algebra Application In Air Defence Systems

Jurnal Derivat Jurnal Matematika dan Pendidikan Matematika
Ocular and Laser Science Research
article

Max Plus Algebra Application In Air Defence Systems

article en

Abstract

Air defence is one of the vital systems in national defence. This system generally includes several processes, namely detection by radar, object identification and decision making. The level of success really depends on the accuracy of decision-making. However, it is not yet known for certain which processes critical processes in decision-making. In this research, we will discuss the application of max plus algebra in determining which process of the workflow for air defence systems is the most critical one. Graphical interpretation of the system using graphs and Timed Petri Nets to make it easier to understand and analyse. The research results show that the success of the entire process depends on the readiness of the radar in carrying out surveillance of the coverage area. This can be seen from the critical circuit, which only depends on the place relating to the situation. Keywords: Max plus algebra, Timed Petri Net, air defence system.

Jurnal Derivat Jurnal Matematika dan Pendidikan MatematikaVol. 12(2)
Universitas Muhammadiyah Tapanuli Selatan (ID)
Peace, Justice and strong institutions
Openalex Percentile: Top 36%
Ocular and Laser Science Research
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