BAREKENG: Jurnal Ilmu Matematika dan Terapan
Vol 20 No 3 (2026): BAREKENG: Journal of Mathematics and Its Application

OPTIMIZATION OF DISASTER RELIEF LOGISTICS DISTRIBUTION USING THE FUZZY TRANSPORTATION PROBLEM MODEL

Ihda Hasbiyati (Department of Mathematics, Faculty of Mathematics and Science, University of Riau, Indonesia)
Hasriati Hasriati (Department of Mathematics, Faculty of Mathematics and Science, University of Riau, IndonesiaDepartment of Mathematics, Faculty of Mathematics and Science, University of Riau, Indonesia)
Harison Harison (Department of Mathematics, Faculty of Mathematics and Science, University of Riau, Indonesia)
Maimunah Maimunah (Department of Mathematics, Faculty of Mathematics and Science, University of Riau, Indonesia)
Aziza Masli (Department of Mathematics, Faculty of Mathematics and Science, University of Riau, Indonesia)
Ahriyati Ahriyati (Department of Mathematics, Faculty of Mathematics and Science, University of Palangkaraya, Indonesia)



Article Info

Publish Date
08 Apr 2026

Abstract

The distribution of disaster relief logistics faces significant challenges due to uncertainty in demand, supply constraints, and accessibility constraints in affected areas. The novelty of this study lies in integrating trapezoidal fuzzy numbers to represent uncertainty in disaster logistics, thereby offering a more realistic model than conventional deterministic models. This study proposes developing a fuzzy-logic-based transportation model to optimize logistics resource allocation. The model was applied to a disaster relief distribution scenario with five source locations and five destination points. The model is solved using the Vogel Approximation Method and optimality test using the Simplex Transportation Method. Next, to determine the distribution route that minimizes costs and distance, a simulation was conducted in MATLAB. The results show that the fuzzy transportation problem model produces more efficient distribution solutions than conventional transportation models, which can be used only for certain data. However, this study is limited to single-objective cost minimization using simulated data. Therefore, future research should consider applying multi-objective optimization to minimize both distribution cost and time simultaneously using real-time geospatial data.

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Journal Info

Abbrev

barekeng

Publisher

Subject

Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

Description

BAREKENG: Jurnal ilmu Matematika dan Terapan is one of the scientific publication media, which publish the article related to the result of research or study in the field of Pure Mathematics and Applied Mathematics. Focus and scope of BAREKENG: Jurnal ilmu Matematika dan Terapan, as follows: - Pure ...