Modified Holt’s Linear Trend Method Based on Particle Swarm Optimization

Exponential smoothing methods have been commonly used for time series forecasting. Holt’s linear trend exponential smoothing is a well-known exponential smoothing method and it can give successful forecasting results for time series which have trend component. In this study, a new modified Holt method is introduced. In modified Holt method, update formulas have second order lagged terms apart from classical Holt method. Moreover, initial values for trend and level and smoothing parameters are estimated by using particle swarm optimization. Strong and weak sides of the modified Holt method are investigated by using real-world data sets and simulated data sets.

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Publication Details

Journal
Turkish Journal of Forecasting
Published
2025-09-28
DOI
https://doi.org/10.34110/forecasting.1792276
Primary Topic
Metaheuristic Optimization Algorithms Research
Type
article
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article

Modified Holt’s Linear Trend Method Based on Particle Swarm Optimization

Erol Eğrioğlu, Saime Şule Aksakal
Turkish Journal of Forecasting
Metaheuristic Optimization Algorithms Research
article

Modified Holt’s Linear Trend Method Based on Particle Swarm Optimization

Erol Eğrioğlu, Saime Şule Aksakal
article en

Abstract

Exponential smoothing methods have been commonly used for time series forecasting. Holt’s linear trend exponential smoothing is a well-known exponential smoothing method and it can give successful forecasting results for time series which have trend component. In this study, a new modified Holt method is introduced. In modified Holt method, update formulas have second order lagged terms apart from classical Holt method. Moreover, initial values for trend and level and smoothing parameters are estimated by using particle swarm optimization. Strong and weak sides of the modified Holt method are investigated by using real-world data sets and simulated data sets.

Turkish Journal of ForecastingVol. 9(2)
Giresun University (TR)
Openalex Percentile: Top 86%
Metaheuristic Optimization Algorithms Research
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