Agus Wahyuli






Human resources are very important organizational assets thus it is only natural that every organization gives more attention to human resource management, including the Indonesian Navy (TNI AL). The approach to human resource planning in military organizations focuses on two aspects, including long term planning with strategic objectives and short term planning with operational objectives. This long term planning is oriented towards the continuation of the procurement, availability, and balance of the number of personnel (human resources) in each rank in the future. An analysis to find out and plan the condition of Navy personnel in the future is needed, which is called the analysis of the Markov chain. There are at least three stages of the Markov chain process, including determining the state, the transition matrix, and the initial vector value. The transition matrix describes changes from one state to another state in the next period of time. The transition matrix formed is the basis of the subsequent analysis, including the calculation of the number of personnel per rank in the future. Determining the length of the matrix period is done by comparing several transition matrices with various moving average orders. The result obtained suggests that the best transition matrix is the one with moving average orders six, including the transition matrix with the smallest value of Mean Square Error (MSE).


Keywords: Markov Chain, Military Manpower Planning, Transition Matrix, Indonesian Navy


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Abdessameud, O. M., Van Utterbeeck, F., Van Kerckhoven, J., & Guerry, M.-A. (2018). Military Manpower Planning - Towards Simultaneous Optimization of Statutory and Competence Logics using Population based Approaches.

Agustina F, H. N. (2010). Perencanaan Kebutuhan Staf Akademik dan Karyawan dengan Rantai Markov dan Peramalan pada Fakultas Teknik Universitas Trunojoyo. In Seminar Nasional Manajemen Teknologi XI. Bangkalan: Universitas Trunojoyo.

Bányai, T., Landschützer, C., & Bányai, Á. (2018). Markov-chain simulation-based analysis of human resource structure: How staff deployment and staffing affect sustainable human resource strategy. Sustainability (Switzerland).

Evans, G. J., Bartholomew, D. J., & Forbes, A. F. (2006). Statistical Techniques for Manpower Planning. The Journal of the Operational Research Society.

HA, T. (2007). Operations Research: An Introduction “8th ed” (8th ed). New Jersey: Pearson Education Inc.

Hall, A. O. (2009). Simulating and optimizing: Military manpower modeling and mountain range options. ProQuest Dissertations and Theses.

Henry, T. M., & Ravi Ravindran, A. (2005). A Goal Programming application for Army Officer Accession Planning. INFOR.

Jaquette DL, Nelson GR, S. R. (1977). An Analytic Review of Personnel Models in the Department of Defense. California.

Mangkunegara, A. A. A. P. (2015). Manajemen Sumber Daya Manusia Perusahaan. Remaja Rosdakarya.

MN, A. (2008). Penggunaan Rantai Markov untuk Analisis Spasial serta Modifikasinya dari Sistem Tertutup ke Sistem Terbuka. In Forum Statistika dan Komputasi (pp. 23–33). Indonesia.

Syafriandi. (1988). Pendugaan Matriks Peluang Transisi dari Rantai Markov dengan Prosedur Pendugaan Bayes Empiris dan Metode Kemungkinan Maksimum. Institut Pertanian Bogor.

Thompson, G. L. (1979). A Network Transshipment Model for Manpower Planning and Design. Quantitative Planning and Control (Edited by Y. Ijiri and A. Whinston) (Academic Press, New York).

Wang, J. (2005). A Review of Operations Research Applications in Workforce Planning and Potential Modeling of Military Training. Sciences-New York.

William, B., Werther, D. K., & Davis, K. (1996). Human Resource and Personnel Management. City: McGraw-Hill Inc.

Zais, M., & Zhang, D. (2016). A Markov chain model of military personnel dynamics. International Journal of Production Research.


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