Abstract
We develop a dynamic stochastic model of military workforce planning that incorporates uncertainties about personnel gains and losses across ranks. We then apply it to determine the probability of not meeting required targets as well as the resulting shortages and overages in the short, medium, and long terms along with the evaluation of policies to mitigate these risks. Our model allows decision makers to adjust recruiting and training practices to minimize the risk of not meeting target personnel levels as well as to value retention and reenlistment policies by calculating the expected marginal value of retaining additional service members. Moreover, it allows us to create a penalty function to optimize recruiting and training levels. The outcome is a tool to evaluate and ensure comprehensive force readiness.


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Notes
Corporal is a lateral promotion; it is not a promotion from E-3.
It is important to note that Army regulations are often changing and in flux, with the specific structure given in the model taken as a reasonable approximation at the time of publication; however, the model itself can easily be revised to accommodate future changes to the Army’s promotion pathways.
References
Bastian, N. D., & Hall, A. O. (2020). Military workforce planning and manpower modeling. In N. M. Scala & J. P. Howard (Eds.), Handbook of military and defense operations research (pp. 83–112). CRC Press.
Bastian, N. D., Lunday, B. J., Fisher, C. B., & Hall, A. O. (2020). Models and methods for workforce planning under uncertainty: Optimizing US army cyber branch readiness and manning. Omega, 92, 102171.
Charnes A, Cooper W. W., Niehaus, R. J., Sholtz, D. (1968). An extended goal programming model for manpower planning. Carnegie-Mellon University, Graduate School of Industrial Administration, Management Sciences Research Report No. 156. https://apps.dtic.mil/dtic/tr/fulltext/u2/687120.pdf
De Feyter, T. (2007). Modeling mixed push and pull promotion flows in manpower planning. Annals of Operations Research, 155(1), 25–39.
De Feyter, T., Guerry, M. A., & Komarudin. (2017). Optimizing cost-effectiveness in a stochastic Markov manpower planning system under control by recruitment. Annals of Operations Research, 253(1), 117–131.
Downes, P. M. (2015) Optimization models and system dynamics simulations to improve military manpower systems. Doctoral Dissertation. https://repositories.lib.utexas.edu/bitstream/handle/2152/31467/DOWNES-DISSERTATION-2015.pdf?sequence=1&isAllowed=y
Gass, S. I. (1991). Military manpower planning models. Computers and Operations Research, 18(1), 65–73.
Gass, S. I., Collins, R. W., Meinhardt, C. W., Lemon, D. M., & Gillette, M. D. (1988). The army manpower long-range planning system. Operations Research, 36(1), 5–17.
Gates, S. M., Keating, E. G., Jewell, A. D., Daugherty, L., Tysinger, B., Robbert, A. A., & Masi, R. (2008). The defense acquisition workforce: An analysis of personnel trends relevant to policy, 1993–2006. RAND Corporation.
Guerry, M. A., & De Feyter, T. (2009). Markovian approaches in modeling workforce systems. Journal of Current Issues in Finance, Business and Economics, 2(4), 351–370.
Hall, A. O. (2009) Simulating and optimizing: Military manpower modeling and mountain range options, Ph.D. thesis.
Hall, A. O., & Fu, M. C. (2015). Optimal army officer force profiles. Optimization Letters, 9(8), 1769–1785.
Horn, M. E. T., Elgindy, T., & Gomez-Iglesias, A. (2016). Strategic workforce planning for the Australian defence force. Journal of the Operational Research Society, 67(4), 664–675.
Hoecherl, J. C., Robbins, M. J., Hill, R. R., Ahner, D. K. (2016). Approximate dynamic programming algorithms for United States air force officer sustainment. In 2016 Winter simulation conference (WSC) (pp. 3075–3086). IEEE.
Jnitova, V., Elsawah, S., & Ryan, M. (2017). Review of simulation models in military workforce planning and management context. The Journal of Defense Modeling and Simulation, 14(4), 447–463.
Mazari-Abdessameud, O., Van Utterbeeck, F., Van Kerckhoven, J., Guerry, M. (2018). Military Manpower Planning-Towards simultaneous optimization of statutory and competence logics using population based approaches. In 7th International conference on operations research and enterprise systems. (pp. 178–185).
Mazari-Abdessameud, O., Van Utterbeeck, F., Van Acker, G., & Guerry, M. A. (2020). Multidimensional military manpower planning based on a career path approach. Operations Management Research, 13, 249–263.
Mazari-Abdessameud, O., Van Utterbeeck, F., & Guerry, M. A. (2021). Military human resource planning through flow network modeling. Engineering Management Journal, 322, 302–313.
Roeva, O., Fidanova, S., Luque, G., & Paprzycki, M. (2019). Intercriteria analysis of ACO performance for workforce planning problem. In S. Fidanova (Ed.), Recent advances in computational optimization (pp. 47–67). Springer.
Sallam, K. M, Turan, H. H., Chakrabortty, R. K., Elsawah, S., Ryan, M. J. (2020). A Differential Evolution Algorithm for Military Workforce Planning Problems: A Simulation-Optimization Approach. In 2020 IEEE symposium series on computational intelligence (SSCI), Canberra, ACT, Australia (pp. 2504–2509).
Turan, H. H., Elsawah, S., Ryan, M. J. (2019). Simulation-based analysis of military workforce planning strategies. In Proceedings of the 2019 international conference on management science and industrial engineering (pp. 68–75).
Van den Bergh, J., Beliën, J., De Bruecker, P., Demeulemeester, E., & De Boeck, L. (2013). Personnel scheduling: A literature review. European Journal of Operational Research, 226(3), 367–385.
Vernez, G., Robbert, A. A., Driscoll, K., & Massey, H. G. (2007). Workforce planning and development processes: A practical guide (Vol. 408). Rand Corporation.
Wang, J. (2005). A review of operations research applications in workforce planning and potential modeling of military training. DSTO Systems Sciences Laboratory.
Weigel, H. S., & Wilcox, S. P. (1983). The army’s personnel decision support system. Decision Support Systems, 9(3), 281–306.
Winkler, R. L., Roodman, G. M., & Britney, R. R. (1972). The determination of partial moments. Management Science, 19(3), 290–296.
Xu, J., Huang, E., Chen, C.-H., & Lee, L. H. (2015). Simulation optimization: A review and exploration in the new era of cloud computing and big data. Asia-Pacific Journal of Operational Research, 32(3), 1–34.
Zais, M., & Zhang, D. (2016). A Markov chain model of military personnel dynamics. International Journal of Production Research, 54(6), 1863–1885.
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MacDonald, L., Paul, J.A. A risk analytics model for strategic workforce planning: readiness of enlisted military personnel. Ann Oper Res 338, 513–533 (2024). https://doi.org/10.1007/s10479-023-05567-0
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DOI: https://doi.org/10.1007/s10479-023-05567-0