Holt-Winters Parameter Optimization Using Dichotomous Search Method (Case Study: PT Telkom Indonesia's Closing Stock Price for the Period January 2019- December 2023)

Authors

  • Razika Ziba Universitas Syiah Kuala
  • T Murdani Saputra Universitas Syiah Kuala
  • Rahma Zuhra Universitas Syiah Kuala
  • Radhiah Radhiah Universitas Syiah Kuala
  • Intan Syahrini Universitas Syiah Kuala
  • Siti Rusdiana Universitas Syiah Kuala

DOI:

https://doi.org/10.24252/msa.v14i2.58506

Keywords:

Holt-Winters, Optimization, Dichotomous Search, Golden Section, MAPE

Abstract

Numerical optimization is the process of finding the optimal parameter values in mathematical problems to minimize the objective function. The selection of optimal parameters is the main key in producing prediction accuracy that is close to the actual value in time series forecasting. Determining the optimal parameters in this method is one of the important challenges that must be solved through the numerical optimization approach. Therefore, the application of numerical optimization algorithms such as the Dichotomous Search method is carried out. The optimal parameters obtained are used in the Holt-Winters model to calculate the level, trend, and seasonal components so as to improve the accuracy of time series forecasting. After constructing the Dichotomous Search method algorithm, the optimal parameters will be determined in the Holt-Winters model, and determine the forecasting results using the optimal parameters on the closing stock price data of PT Telkom Indonesia for the period January 2019-December 2023. The application of the Dichotomous Search method is carried out to find the optimal parameter value at 8 evaluation points iteratively. Based on the analysis results, the Dichotomous Search method produces 12 iterations with a MAPE of 6.48449%, so it has high forecasting accuracy.

References

Harahap, Fahrul Rozi dan Darnius, Open. (2022). Optimasi parameter exponential smoothing holt-winters dengan metode golden section dan pencarian dikotomi. Jurnal Matematika dan Pendidikan Matematika, 5(2), 104-111.

Nurjihan, Z. (2024) Optimasi parameter Triple Exponential Smoothing menggunakan Differential Evolution: studi kasus harga pembukaan saham Apple Inc. periode Agustus 2020 – Agustus 2022 [Skripsi, Universitas Pendidikan Indonesia].

Mahmudah, S. (2013). Modifikasi metode Newton Rapshon dalam menyelesaikan optimasi nonlinier multivariable berkendala, Skripsi, Universitas Islam Negeri Sunan Kalijaga.

Makridakis, S., Wheelwright, S. C., & McGee (1998), Metode dan Aplikasi Peramalan, (U.S. Andriyanto dan A. Basith, Trans.). Erlangga.

Novalia, D., Sugiman., Sunarmi (2018). Perbandingan hasil optimasi pada metode Browns’s one-parameter Double Exponential Smoothing menggunakan algoritma non-linear programming berbantuan MATLAB. Jurnal Matematika, 7(1), 18–27.

Luknanto, Djoko. (2000), Pengantar optimasi nonlinier, Universitas Gadjah Mada,Yogyakarta.

Sutriani, V. (2022). Peramalan tingkat inflasi di Indonesia tahun 2022 menggunakan metode Holt-Winters dengan optimasi Golden Section. E-Prosiding Seminar Nasional Matematika, Geometri, Statistika, dan Komputasi (SeNa MaGeStiK)

Aryati, A dkk (2022) Peramalan dengan Menggunakan Metode Holt-Winter Exponential Smoothing (Studi Kasus: Jumlah Wisatawan Mancanegara yang Berkunjung ke Indonesia). Jurnal Exponensial, 11(1)

https://finance.yahoo.com/quote/TLKM.JK/history?p=TLKM.JK, edisi online, diakses tanggal Januari 2025.

Downloads

Published

2026-10-17

How to Cite

[1]
R. Ziba, T. M. Saputra, R. Zuhra, R. Radhiah, I. Syahrini, and S. Rusdiana, “Holt-Winters Parameter Optimization Using Dichotomous Search Method (Case Study: PT Telkom Indonesia’s Closing Stock Price for the Period January 2019- December 2023)”, MSA, vol. 14, no. 2, pp. 186–198, Oct. 2026.