Perbandingan Keakuratan Hasil Peramalan Produksi Bawang Merah Metode Holt-Winters dengan Singular Spectrum Analysis (SSA)
DOI:
https://doi.org/10.15642/mantik.2017.3.1.13-22Keywords:
Holt-Winters, MAPE, R-forecasting, SSA, V-forecastingAbstract
The Holt-Winters method is used to model data with seasonal patterns, whether trends or not. There are two methods of forecasting in Singular Spectrum Analysis (SSA), namely recurrent method (R-forecasting) and vector method (V-forecasting). The recurrent method performs continuous continuation (with the help of LRF), whereas the vector method corresponds to the L-continuation. Different methods of course make a difference in the accuracy of forecast results. To see the difference between the three methods is done by looking at the comparison of accuracy and reliability of forecast results. To measure the accuracy of forecasting used Mean Absolute Percentage Error (MAPE) and to measure the reliability of forecasting results is done by tracking signal. Applications are done on Indonesian red onion production from January 2006 to December 2015. Forecasting of both methods in SSA uses window length L = 39 and grouping r = 8. With α = 0.1, β = 0.001 and γ = 0.5, Holt-Winters additive method gives better result with MAPE 13,469% than SSA method.
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References
[2] Golyandina N., Nekrutkin, V., Zhigljavsky A. Analysis of Time Series Structure: SSA and Related Techniques. Chapman & Hall/crc (2001)
[3] Croux, C., Gelper, S. & Fried, R. Computational aspects of robust Holt-Winters smoothing based on M-estimation. Appl Math (2008) 53: 163.
[4] Coghlan, Avril. A Little Book of R For Time Series Release 0.2. Parasite Genomics Group, Wellcome Trust Sanger Institute, Cambridge, U.K. (2017)
[5] Hassani, Hossein. Singular Spectrum Analysis: Methodology and Comparison. Journal of Data Science 5 (2007) 239-257
[6] Montgomery, D. C, Introduction to Time Series Analysis and Forecasting, 2nd Edition, 2008
[7] Sakinah, A.M.. Perbandingan Stabilitas Hasil Peramalan Suhu dengan R-Forecasting dan V-Forecasting SSA untuk Long-Horizon. Tesis. Universitas Padjadjaran, Bandung. 2012.
[8] Golyandina N., Zhigljavsky A.. Singular Spectrum Analysis for Time Series. New York: Springer (2013)
[9] Darmawan, G., Hendrawati T., Arisanti R., Model Auto Singular Spectrum Untuk Meramalkan Kejadian Banjir di Bandung dan Sekitarnya. Prosiding Seminar Nasional Matematika dan Pendidikan Matematika UNY 2015. November (2015) 457-462, Yogyakarta
[10] Amalia, S.N. Peramalan Singular Spectrum Analysis dengan Missing Data. Tesis. Universitas Padjadjaran, Bandung. 2016.
[11] Darmawan, G.Identifikasi Pola Data Curah Hujan Pada Proses Grouping dalam Metode Singular Spectrum Analysis. Prosiding Seminar Nasional Matematika dan Pendidikan Matematika UNY 2016. November (2016) 127-132, Yogyakarta
[12] Kementerian Pertanian. Outlook Bawang Merah 2013. Diambil dari http://epublikasi.setjen.pertanian.go.id/arsip-outlook/260-outlook-komoditas-bawang-merah-2013 pada tanggal 5 Maret 2017
[13] Kementerian Pertanian. Outlook Bawang Merah 2015. Diambil dari http://epublikasi.setjen.pertanian.go.id/arsip-outlook/76-outlook-hortikultura/356-outlook-bawang-merah-2015 pada tanggal 5 Maret 2017
[14] Kementerian Pertanian. Outlook Bawang Merah 2016. Diambil dari http://epublikasi.setjen.pertanian.go.id/arsip-outlook/76-outlook-hortikultura/426-outlook-bawang-merah-2016 pada tanggal 5 Maret 2017
[15] Suwandi, Adi, dkk. Peramalan Data Time Series Dengan Metode Penghalusan Eksponensial Holt-Winter. Jurnal Universitas Hassanudin, Makasar. 2014.
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