Clustering of Indonesian Manufacturing Production Dynamics Based on Robust Temporal Features
Keywords:
K-Means, Manufacturing index, Robust scaling, Temporal feature, Unsupervised learning.Abstract
This article develops a robust temporal feature-based clustering framework to group the monthly dynamics of Indonesia's manufacturing production index. The data used is Production Volume: Economic Activity: Manufacturing for Indonesia from the OECD through FRED, in the form of a seasonally adjusted index 2015=100 for the period January 2010-March 2023. The methods developed incorporate winsorization, robust scaling, level feature formation, monthly growth, annual growth, rolling volatility, deviation from local trends, momentum, cluster number validation, and K-Means. The empirical results showed that the three clusters gave the highest Silhouette value of 0.402 and resulted in clear industry interpretations, namely contraction/pressure, normal-stable, and expansion/acceleration. The contraction cluster only accounts for 6.8% of observations but has an average monthly growth of -9.25%, while the normal-stable cluster dominates 74.15% of observations. These findings suggest that clustering can serve as a rapid diagnostic instrument for production cycle monitoring, pressure detection, and industrial operational policy formulation.
References
[1] J. MacQueen, “Some methods for classification and analysis of multivariate observations,” in Proc. Fifth Berkeley Symp. Math. Stat. Probab., 1967, vol. 1, pp. 281-297.
[2] S. P. Lloyd, “Least squares quantization in PCM,” IEEE Trans. Inf. Theory, vol. 28, no. 2, pp. 129-137, Mar. 1982.
[3] Matdoan, M. Y. (2020). Penerapan Analisis Cluster Dengan Metode Hierarki Untuk Klasifikasi
Kabupaten/Kota Di Provinsi Maluku Berdasarkan Indikator Indeks Pembangunan Manusia. Statmat: jurnal
statistika dan matematika.
[4] L. Kaufman and P. J. Rousseeuw, Finding Groups in Data: An Introduction to Cluster Analysis. New York, NY, USA: Wiley, 1990.
[5] A. K. Jain, “Data clustering: 50 years beyond K-means,” Pattern Recognit. Lett., vol. 31, no. 8, pp. 651-666, Jun. 2010.
[6] A. K. Jain, M. N. Murty, and P. J. Flynn, “Data clustering: A review,” ACM Comput. Surv., vol. 31, no. 3, pp. 264-323, Sep. 1999.
[7] D. Arthur and S. Vassilvitskii, “k-means++: The advantages of careful seeding,” in Proc. 18th Annu. ACM-SIAM Symp. Discrete Algorithms, 2007, pp. 1027-1035.
[8] P. J. Rousseeuw, “Silhouettes: A graphical aid to the interpretation and validation of cluster analysis,” J. Comput. Appl. Math., vol. 20, pp. 53-65, 1987.
[9] Matdoan, M. Y., Risdiana, F. Y., & Haumahu, G. (2022). Application of the K-Means Cluster for the
Classification of Disadvantaged Districts/Cities in Maluku Province. JRST (Jurnal Riset Sains dan
Teknologi), 61-64.
.[10] T. Caliński and J. Harabasz, “A dendrite method for cluster analysis,” Commun. Stat., vol. 3, no. 1, pp. 1-27, 1974.
[11] T. W. Liao, “Clustering of time series data-a survey,” Pattern Recognit., vol. 38, no. 11, pp. 1857-1874, Nov. 2005.
[12] S. Aghabozorgi, A. S. Shirkhorshidi, and T. Y. Wah, “Time-series clustering-a decade review,” Inf. Syst., vol. 53, pp. 16-38, Oct. 2015.
[13] C. Shang and F. You, “Data analytics and machine learning for smart process manufacturing: Recent advances and perspectives in the big data era,” Engineering, vol. 5, no. 6, pp. 1010-1016, Dec. 2019.
[14] J. Lee, B. Bagheri, and H.-A. Kao, “A cyber-physical systems architecture for Industry 4.0-based manufacturing systems,” Manuf. Lett., vol. 3, pp. 18-23, Jan. 2015.
[15] Fadhilah, R., Matdoan, M. Y., Safira, D. A., & Tahalea, S. P. (2024). Clustering Shrimp Distribution in
Indonesia Using the X-Means Clustering Algorithm. VARIANCE: Journal of Statistics and Its
Applications, 6(1), 49-54.
[16] D. C. Montgomery, Introduction to Statistical Quality Control, 8th ed. Hoboken, NJ, USA: Wiley, 2019.
[17] J. H. Ward, “Hierarchical grouping to optimize an objective function,” J. Am. Stat. Assoc., vol. 58, no. 301, pp. 236-244, 1963.
[18] M. Ester, H.-P. Kriegel, J. Sander, and X. Xu, “A density-based algorithm for discovering clusters in large spatial databases with noise,” in Proc. 2nd Int. Conf. Knowledge Discovery and Data Mining, 1996, pp. 226-231.
[19] U. von Luxburg, “A tutorial on spectral clustering,” Stat. Comput., vol. 17, no. 4, pp. 395-416, Dec. 2007.
[20] J. C. Bezdek, Pattern Recognition with Fuzzy Objective Function Algorithms. New York, NY, USA:
Plenum Press, 1981.
[21] R. Xu and D. Wunsch, “Survey of clustering algorithms,” IEEE Trans. Neural Netw., vol. 16, no. 3, pp.
645-678, May 2005.
[22] B. S. Everitt, S. Landau, M. Leese, and D. Stahl, Cluster Analysis, 5th ed. Chichester, U.K.: Wiley, 2011.
[23] C. C. Aggarwal and C. K. Reddy, Eds., Data Clustering: Algorithms and Applications. Boca Raton, FL,
USA: CRC Press, 2014.
[24] I. T. Jolliffe and J. Cadima, “Principal component analysis: A review and recent developments,” Philos.
Trans. R. Soc. A, vol. 374, no. 2065, 2016.
[25] R Matdoan, M. Y., Ahsan, M., Wance, M., & Nukuhaly, N. A. (2023, January). Classification of provinces
based on the Indonesian Democracy Index using the K-medoids clustering algorithm. In AIP Conference
Proceedings (Vol. 2588, No. 1, p. 050024). AIP Publishing LLC.
[26] P. J. Huber and E. M. Ronchetti, Robust Statistics, 2nd ed. Hoboken, NJ, USA: Wiley, 2009.
[27] J. Han, M. Kamber, and J. Pei, Data Mining: Concepts and Techniques, 3rd ed. Waltham, MA, USA:
Morgan Kaufmann, 2012.
[28] S. Theodoridis and K. Koutroumbas, Pattern Recognition, 4th ed. Burlington, MA, USA: Academic Press,
2009.
[29] Organization for Economic Co-operation and Development, “Production, Sales, Work Started and Orders:
Production Volume: Economic Activity: Manufacturing for Indonesia [IDNPROMANMISMEI],”
retrieved from FRED, Federal Reserve Bank of St. Louis, 2026.
[30] OECD, “Industrial production indicator,” OECD Data, 2026.

















