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Reallocation of Force in the Lanchester (3,3) Combat Model

란체스터 (3,3) 전투모형의 전투력 재할당 방안에 관한 연구

  • Jong-Hyeon Hwang (Department of Industrial & Management Engineering, Hanbat National University) ;
  • Dong-Hyung Lee (Department of Industrial & Management Engineering, Hanbat National University)
  • 황종현 (한밭대학교 산업경영공학과) ;
  • 이동형 (한밭대학교 산업경영공학과)
  • Received : 2023.11.21
  • Accepted : 2023.12.04
  • Published : 2023.12.31

Abstract

In the (3,3) close combat model based on the Lanchester Square Law, this study proposes a plan to optimally allocate residual combat power after the battle to other battlefields. As soon as the two camps of three units can grasp each other's information and predict the battle pattern immediately after the battle began, the Time Zero Allocation of Force (TZAF) scenario was used to initially allocate combat power to readjust the combat model. It reflects travel time, which is a "field friction" in which physical distance exists from battlefields that support combat power to battlefields that are supported. By developing existing studies that try to examine the effect of travel time on the battlefield through the combat model, this study forms a (3,3) combat model, which is a large number of minimum units. In order to achieve the combat purpose, the principle of optimal combat force operation is presented by examining the aspect that support combat power is allocated to the two battlefields and the consequent battle results. Through this, various scenarios were set in consideration of the travel time and the situation of the units, and differentiated results were obtained. Although the most traditional, it can be used as the basic logic of the training or the commander's decision-making system using the actual war game model.

Keywords

References

  1. Baek, S. W. and Hong, S. P., A Pragmatic Method on Multi-Weapon Lanchester's Law, Journal of the Korean Operations Research and Management Science Society, 2013, Vol. 38, No. 4, pp. 1-9. https://doi.org/10.7737/JKORMS.2013.38.4.001
  2. Colegrave, R. K. and Hyde, J. M., The Lanchester square-law model extended to a (2, 2) conflict, IMA Journal of Applied Mathematics, 1993, Vol. 51, No. 2, pp. 95-109. https://doi.org/10.1093/imamat/51.2.95
  3. Deitchman and Seymour J. A., Lanchester model of guerrilla warfare, Operations Research, 1962, Vol. 10, No. 6, pp. 818-827. https://doi.org/10.1287/opre.10.6.818
  4. Hwang, J. H., Choi, Y. H., Park, S. H., and Lee, Y. H., Optimal Support of Military Force Based on (2, 2) Lanchester Square Attrition Model, Journal of the Korean Institute of Industrial Engineers, 2018, Vol. 44, No. 3, pp. 198-205. https://doi.org/10.7232/JKIIE.2018.44.3.198
  5. Im, J. S., Yoo, B. C., Kim, J. H., and Choi, B. W., A Study of Multi-to-Majority Response on Threat Assessment and Weapon Assignment Algorithm: by Adjusting Ballistic Missiles and Long-Range Artillery Threat, Journal of the Society of Korea Industrial and Systems Engineering, 2021, Vol. 44, No. 4, pp. 43-52. https://doi.org/10.11627/jksie.2021.44.4.043
  6. Jing Yuanwei, Zhang Siying, Dimirovski and Georgi M., Complexity of Warfare Command, Communication and Control Systems Simplified: Optimal Resource Partitioning via Lanchester equations, In: Smart Technologies, IEEE EUROCON 2017-17th International Conference on. IEEE, pp. 611-617.
  7. Jung, M. S. and Park, S. H., A Study on the Israeli Military Strategy and Defense Acquisition System, Journal of Next-generation Convergence Technology Association, 2022, Vol. 6, No. 1, pp. 139-144. https://doi.org/10.33097/JNCTA.2022.06.01.139
  8. Im, H., Kim, J. H., Kong, J., and Kyung, J. H., Reinforcement Learning-based Dynamic Weapon Assignment to Multi-Caliber Long-Range Artillery Attacks, Korean Society of Industrial and Systems Engineering, 2022, Vol. 45, No. 4, pp. 42-52. https://doi.org/10.11627/jksie.2022.45.4.042
  9. Kaup, Galen T., Kaup, D. J., and Neal M. Finkelstein. The Lanchester (n, 1) problem, Journal of the Operational Research Society, 2005, Vol. 56, No. 12, pp. 1399-1407. https://doi.org/10.1057/palgrave.jors.2601936
  10. Krichman, M., Ghose, D., Speyer, J. L., and Shamma, J. S., Theater level campaign resource allocation, In Proceedings of the 2001 American Control Conference. IEEE, Vol. 6, pp. 4716-4721
  11. Kress, M. and Talmor. I. A., new look at the 3: 1 rule of combat through Markov stochastic Lanchester models, Journal of the Operational Research Society, 1999, Vol. 50, No. 7, pp. 733-744. https://doi.org/10.1057/palgrave.jors.2600758
  12. Kress, M., Caulkins, J. P., Feichtinger, G., Grass, D., and Seidl, A., Lanchester model for three-way combat, European Journal of Operational Research, 2018, Vol. 264, No. 1, pp. 46-54. https://doi.org/10.1016/j.ejor.2017.07.026
  13. Lim, K. T. and Lee, H. I., A Study on Military Drone Threat Factors and Their Countermeasures, Journal of Next-generation Convergence Technology Association, 2021, Vol. 5, No. 5, pp. 710-720. https://doi.org/10.33097/JNCTA.2021.05.05.710
  14. Park, D., Kim, D., Moon, H., and Shin, H., Gaussian approximation of stochastic Lanchester model for heterogeneous forces, Journal of Korean Institute of Industrial Engineers, 2016, Vol. 42, No. 2, pp. 86-95. https://doi.org/10.7232/JKIIE.2016.42.2.086
  15. Park, S. H., Coastline Correction Method in Terrain Modeling using Heightmap, Journal of Next-generation Convergence Technology Association, 2021, Vol. 5, No. 6, pp. 965-974. https://doi.org/10.33097/JNCTA.2021.05.06.965
  16. Roberts, D. M., and Conolly, B. W., An extension of the Lanchester square law to inhomogeneous forces with an application to force allocation methodology, Journal of the Operational Research Society, 1992, Vol. 43, No. 8, pp. 741-752. https://doi.org/10.1057/jors.1992.112
  17. Sheeba, P. S., and Debasish Ghose., Optimal resource allocation and redistribution strategy in military conflicts with Lanchester square law attrition, Naval Research Logistics (NRL), 2008, Vol. 55, No. 6, pp. 581-591. https://doi.org/10.1002/nav.20303
  18. Sheeba, P. S., and Debasish Ghose., Optimal resource partitioning in conflicts based on Lanchester (n, 1) attrition model, 2006 American Control Conference, IEEE.
  19. Wu, Shi-hui, and Jian-jun Yang., Optimal military strength allocation for campaign between single-kind arms and multi-kind arms, 2009 International Conference on Management Science and Engineering, IEEE., pp. 303-308.