Performance of PSO and GWO Optimized Triple Exponential Smoothing for Rice Forecasting
Abstract
Rice production forecasting is crucial for supporting food security policies, where Indonesia’s food security remains a key goal of the current government, particularly in a developing city like Malang. Triple exponential smoothing (TES) is a suitable and reliable forecasting method for limited, univariate, and seasonal data. TES is a statistical method whose accuracy depends on parameter selection, which is typically determined through trial and error. This study aimed to evaluate the results of TES forecasting optimized using well-known metaheuristic algorithms, particle swarm optimization (PSO) and grey wolf optimization (GWO). The novelty of this study lies in comparing the performance of PSO and GWO for TES optimization on limited rice production data in Malang City. The training data was rice production data for 2022–2024, and the testing data is rice production data for 2025. The study found that the accuracy of rice production forecasting using the pure TES method varied, with mean absolute percentage error (MAPE) ranging from 31.11% to 89.69%. Meanwhile, optimization significantly reduced the MAPE to 19.96% for PSO and 20.90% for GWO. The results showed that PSO produced a smaller standard deviation than GWO, indicating that PSO produces more stable forecasting results. However, at 100 iterations, GWO had a computation time of 0.078 s, shorter than PSO’s 0.136 s. The research findings recommend the use of metaheuristic algorithms to optimize rice production forecasting with limited and univariate data. Combining forecasting methods such as TES with metaheuristic algorithms has been shown to reduce MAPE, thereby improving forecasting accuracy.
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