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PERAMALAN JUMLAH PENUMPANG PENERBANGAN DOMESTIK PADA TIGA BANDARA UTAMA INDONESIA MENGGUNAKAN MODEL GENERALIZED SPACE TIME AUTOREGRESSIVE (GSTAR)

*Nabila Zahra Tamami  -  Departemen Statistika, Fakultas Sains dan Matematika, Universitas Diponegoro, Indonesia
Puspita Kartikasari  -  Departemen Statistika, Fakultas Sains dan Matematika, Universitas Diponegoro, Indonesia
Deby Fakhriyana  -  Departemen Statistika, Fakultas Sains dan Matematika, Universitas Diponegoro, Indonesia
Open Access Copyright 2026 Jurnal Gaussian under http://creativecommons.org/licenses/by-nc-sa/4.0.

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Abstract
Forecasting the number of airplane passengers requires a model related to time and location because the data on the number of airplane passengers is space time series data. Generalized Space Time Autoregressive (GSTAR) is an approach to forecast time series data that show a connection between time and location. The GSTAR model can be applied to data with heterogeneous location characteristics.  In this research, the GSTAR model is used to form a forecasting model for the number of domestic flight passengers at three major airports in Indonesia Juanda Airport, Soekarno Hatta Airport, and Hasanuddin Airport, using optimal location weighting. The residual of the GSTAR model satisfies the white noise assumption. The location weights used are uniform weights, inverse distance weights, and cross-correlation normalization. The outcome model is constructed with a first-order differencing, an autoregressive order of 1, and spatial order of 1, resulting in the formation of the GSTAR (11)I(1) model. The most optimal model generated is the GSTAR (11)I(1) model utilizing inverse distance weights due to its smallest sMAPE value compared to other weightings, which stands at 8,71%. This sMAPE value signifies a highly precise forecast accuracy.
Keywords: Airports; number of passengers; Location weights; GSTAR; Forecasting; sMAPE

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Language : EN
  1. Ardianto, M. P. (2014). Pemodelan Generalized Space Time Autoregressive (GSTAR) pada Tiga Periode Waktu (Studi Kasus Inflasi di Lima Kota Besar di Pulau Jawa). Jurnal Mahasiswa Statistik, 2(4), 265 –268
  2. Badan Pusat Statistik. (2015-2022). Jumlah Penumpang Penerbangan Domestik di Bandara Utama. Tersedia: https://www.bps.go.id (diakses pada tanggal 1 Februari 2023)
  3. Borovkova, S.A., Lopuhaa, H.P.,Ruchjana, B.N. (2008). Consistency and Asymptotic Normality of Least Square Estimators in Generalized STAR Models. Journal compilation Statistica Neerlandica, Hal. 482-500
  4. Durrah, F. I., Yulia, Y., Parhusip, T. P., & Rusyana, A. (2018). Peramalan Jumlah Penumpang Pesawat Di Bandara Sultan Iskandar Muda Dengan Metode SARIMA (Seasonal Autoregressive Integrated Moving Average). Journal of Data Analysis, 1(1), 1-11
  5. Kostenko, A. V., & Hyndman, R. J. (2008). Forecasting without significance tests?. manuscript, Monash University, Australia
  6. Makridakis, S., & Hibon, M. (2000). The M3-Competition: results, conclusions and implications. International journal of forecasting, 16(4), 451-476
  7. Mario, M. I. T., Kartiko, K., & Bekti, R. D. (2021). Pemodelan Generalized Space Time Autoregressive (GSTAR) untuk Peramalan Tingkat Inflasi di Pulau Jawa. Jurnal Statistika Industri dan Komputasi, 6(2), 171-184
  8. Ruchjana, B. N., Borovkova, S. A., & Lopuhaa, H. P. (2012). Least squares estimation of Generalized Space Time AutoRegressive (GSTAR) model and its properties. In AIP Conference Proceedings (Vol. 1450, No. 1, pp. 61-64). American Institute of Physics
  9. Soejoeti. (1987). Analisis Runtun Waktu. Jakarta: Karunika Jakarta
  10. Sofiana, S., Suparti, S., Hakim, A. R., & Triutami, I. (2020). Peramalan Jumlah Penumpang Pesawat di Bandara Internasional Ahmad Yani dengan Metode Holt Winter’s Exponential Smoothing dan Metode Exponential Smoothing Event Based. Jurnal Gaussian, 9(4), 535-545
  11. Subekti, S. (2018). Kepuasan Penumpang Terhadap Pelayanan Terminal Domestik di Bandar Udara Adi Sucipto Yogyakarta. Warta Penelitian Perhubungan, 29(2), 277-288
  12. Suhartono dan Atok, R.M. (2006). Pemilihan Bobot Lokasi yang Optimal pada Model GSTAR. Presented at National Mathematics Conference XIII. Semarang: Universitas Negeri Semarang
  13. Suhartono dan Subanar. (2006). The Optimal Determination of Space Weight in GSTAR Model by using Cross-correlation Inference. Journal of Quantitative Methods: Journal Devoted the Mathematical and Statistical Application in Various Field. Vol. 2 No.2: pp. 45-53
  14. Sulistyono, A. D., Iriany, A., & Suryawardhani, N. W. (2020). Rainfall forecasting in agricultural areas using GSTAR-SUR model. In IOP Conference Series: Earth and Environmental Science (Vol. 458, No. 1, p. 012041). IOP Publishing
  15. Wei, W. (2006). Time Series Analysis : Univariate and Multivariate Methods. Amerika: Pearson Education, Inc
  16. Widayati, T., GS, A. D., Nugroho, N., Rahayu, S., Boari, Y., Syamil, A., ... & Suryahani, I. (2023). PEREKONOMIAN INDONESIA: Perkembangan & Transformasi Perekonomian Indonesia Abad 21 Terkini. PT. Sonpedia Publishing Indonesia

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