Jurnal Riset Mahasiswa Matematika
Vol 4, No 6 (2025): Jurnal Riset Mahasiswa Matematika

Prediksi Wisatawan Mancanegara di Indonesia Menggunakan Metode SARIMAX dengan Efek Variasi Kalender Libur Nasional

Pakaya, Desya Neydi Putri (Unknown)
Achmad, Novianita (Unknown)
Hasan, Isran K (Unknown)
Wungguli, Djihad (Unknown)
Abdussamad, Siti Nurmardia (Unknown)



Article Info

Publish Date
26 Jul 2025

Abstract

Fluctuations in the number of foreign tourist arrivals often produce outlier values that can interfere with the accuracy of the forecasting model. This study uses a boxplot approach to detect outliers, followed by Natural Logarithm (ln) transformation as a treatment step. The Seasonal Autoregressive Integrated Moving Average with Exogenous Variables (SARIMAX) method is applied by considering three exogenous variables that show the effect of variations in the National Holiday calendar in the form of Nyepi Day, Idul Fitri Day and year-end holidays. The results of the analysis show that the three variables have a positive effect on the increase in the number of foreign tourist arrivals, where Nyepi Day makes the largest contribution compared to the other two holiday periods. Model 2 (0,1,1)(1,0,1)[12] was selected as the most optimal model based on the evaluation results of several models that have been compared. This model shows excellent performance, indicated by the Mean Absolute Percentage Error (MAPE) value of 3.75\% which indicates that the model has very high prediction accuracy. So that the SARIMAX model is effective in modeling and predicting the number of foreign tourist visits in Indonesia.

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Journal Info

Abbrev

jrmm

Publisher

Subject

Mathematics

Description

Jurnal Riset Mahasiswa Matematika (JRMM) publishes current research articles in any area of Mathematics Research such as graph labelings, modeling, statistics, actuaria, optimal network problems, metric dimension, graph coloring, rainbow connection and other related topics. JRMM is published six ...