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Forecasting the Number of Tourist Visits to Semarang City Using the Holt-Winters Multiplicative and Fourier Series Analysis (FSA) Methods

Unnes Journal of Mathematics · Vol. 14 No. 2 (2026) · hlm. 39–48

DOI
10.15294/ujm.v14i2.27848
ISSN
2460-5859, 2252-6943
Terbit
2026-10-21
Penerbit
Universitas Negeri Semarang
Bahasa
eng

Abstrak

Forecasting is a crucial process in strategic planning, including in the tourism sector, which is highly influenced by seasonal fluctuations and external factors. In Semarang City, the number of tourist visits has experienced significant changes in recent years, particularly due to the COVID-19 pandemic, which caused a sharp decline in 2020 and 2021. Nevertheless, a post-pandemic upward trend in visits has begun to emerge. To support adaptive, data-driven planning, accurate forecasting methods capable of capturing both trend and seasonal patterns are essential. This study aims to compare the Holt-Winters Multiplicative method and Fourier Series Analysis (FSA) in forecasting tourist visits to Semarang City. The data used consist of monthly tourist visit records from 2017 to 2024, obtained from the Semarang City Office of Culture and Tourism. Forecast accuracy was evaluated using Mean Absolute Error (MAE) and Symmetric Mean Absolute Percentage Error (SMAPE). The results show that the Holt-Winters Multiplicative method produced a lower MAE of 44,498.31 and SMAPE of 6.76%, compared to the Fourier Series Analysis method. Therefore, the Holt-Winters Multiplicative method is considered more accurate in forecasting tourist visits. This study is expected to contribute to more effective tourism management and development strategies at the regional level.

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  • State University of Semarang
  • Yogyakarta State University
  • Afiliasi tidak diketahui
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Rekan penulisOrganisasiArtikel bersama
Rochmad RochmadState University of Semarang6
Ary Woro KurniasihState University of Semarang5
Masrukan MasrukanState University of Semarang3
Mashuri MashuriState University of Semarang3
Kholifatu Ulil AzmiState University of Semarang2
Mulyono MulyonoState University of Semarang2
Muhammad KharisState University of Semarang2
Muhammad Zuhair ZahidState University of Semarang2
Amnan HarisAfiliasi tidak diketahui1
Yuda Hanafi LubisState University of Semarang1
Rembulan Permata OctaliaState University of Semarang1
St. Budi WaluyaAfiliasi tidak diketahui1
Scolastika MarianiState University of Semarang1
Annisa Salma ZakiyyahState University of Semarang1
Puput RelitasariState University of Semarang1
MashuriState University of Semarang1
Chitra Ayu NevtianingsiState University of Semarang1
Fitri Novita SariState University of Semarang1
Rani AnggrainiState University of Semarang1
Sugiman SugimanYogyakarta State University1
Ahmad Ijlal AbdikaState University of Semarang1
Meli SeptianaState University of Semarang1
Ratih KusumawatiState University of Semarang1
Wuryanto WuryantoState University of Semarang1
Hardi SuyitnoState University of Semarang1
Ula Himatul AliyahState University of Semarang1
Puji HandayaniAfiliasi tidak diketahui1
Ylyas SopyyevState University of Semarang1
Endang Retno WinartiState University of Semarang1
Rina Nurul FathiyaState University of Semarang1
Soviana Nur SavitriState University of Semarang1
Nana Umi LatifahState University of Semarang1
Nawang Kusuma MirantiState University of Semarang1
Linda WijayaState University of Semarang1
Nur Aisyah IstiState University of Semarang1
Ahmad BadawiState University of Semarang1
Bambang Eko SusiloState University of Semarang1
Oei Yuda Setiyo PriyantoState University of Semarang1

Afiliasi berasal dari OpenAlex; metadata OAI-PMH jurnal tidak memuatnya. Penulis tanpa ID OpenAlex dicocokkan berdasarkan nama, sehingga dua orang bisa tergabung atau satu orang bisa terpisah.

Sumber metadata: OAI-PMH (metadata jurnal) https://journal.unnes.ac.id/journals/ujm/oai, pertama di-harvest 6 Nov 2026, terakhir terlihat 8 Nov 2026.
Metadata asli (oai_dc)
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	<dc:title xml:lang="en">Forecasting the Number of Tourist Visits to Semarang City Using the Holt-Winters Multiplicative and Fourier Series Analysis (FSA) Methods</dc:title>
	<dc:creator xml:lang="en">Khoiriyah, Zuyun</dc:creator>
	<dc:creator xml:lang="en">Agoestanto, Arief</dc:creator>
	<dc:subject xml:lang="en">Forecasting, Holt-Winters Multiplicative, Fourier Series Analysis, Tourists</dc:subject>
	<dc:description xml:lang="en">Forecasting is a crucial process in strategic planning, including in the tourism sector, which is highly influenced by seasonal fluctuations and external factors. In Semarang City, the number of tourist visits has experienced significant changes in recent years, particularly due to the COVID-19 pandemic, which caused a sharp decline in 2020 and 2021. Nevertheless, a post-pandemic upward trend in visits has begun to emerge. To support adaptive, data-driven planning, accurate forecasting methods capable of capturing both trend and seasonal patterns are essential. This study aims to compare the Holt-Winters Multiplicative method and Fourier Series Analysis (FSA) in forecasting tourist visits to Semarang City. The data used consist of monthly tourist visit records from 2017 to 2024, obtained from the Semarang City Office of Culture and Tourism. Forecast accuracy was evaluated using Mean Absolute Error (MAE) and Symmetric Mean Absolute Percentage Error (SMAPE). The results show that the Holt-Winters Multiplicative method produced a lower MAE of 44,498.31 and SMAPE of 6.76%, compared to the Fourier Series Analysis method. Therefore, the Holt-Winters Multiplicative method is considered more accurate in forecasting tourist visits. This study is expected to contribute to more effective tourism management and development strategies at the regional level.</dc:description>
	<dc:publisher xml:lang="en">Universitas Negeri Semarang</dc:publisher>
	<dc:date>2026-10-21</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:type xml:lang="en">Peer-reviewed Article</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://journal.unnes.ac.id/journals/ujm/article/view/27848</dc:identifier>
	<dc:identifier>10.15294/ujm.v14i2.27848</dc:identifier>
	<dc:source xml:lang="en">Unnes Journal of Mathematics; Vol. 14 No. 2 (2025): Unnes Journal of Mathematics Volume 2, 2025; 39-48</dc:source>
	<dc:source>2460-5859</dc:source>
	<dc:source>2252-6943</dc:source>
	<dc:source>10.15294/ujm.v14i2</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://journal.unnes.ac.id/journals/ujm/article/view/27848/11862</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2026 Unnes Journal of Mathematics</dc:rights>
</oai_dc:dc>