MODELING OF REAL COMBAT OPERATIONS

  • Mladen Kostić Faculty of Project and Innovation Management, University Educons, Belgrade, Serbia https://orcid.org/0009-0009-3277-7256
  • Aca Jovanović Faculty of Project and Innovation Management, University Educons, Belgrade, Serbia
Keywords: Force attrition, combat operations, approximateive model

Abstract


This paper discusses the model of an offensive air-ground combat operation, a product of a specific modeling - operational planning and targeting process. The modeling was performed using approximate methods of numerical integration based on Lanchester's law of combat. Operational factors and their implications for outcome are used for modeling a spetial but still current, offensive air-ground campaign/operation "Desert Storm". The model considers relevant factors, such as combat capabilities, the number of forces and consumption of resources and forces attrition in combat, in order to enable planning and prediction of the winning side in battle. The optimal solution of the problem as a useful strategic tool, based on the attrition model of combat has a practical benefit for making the right management decisions in operational planning process. This approach corresponds to project management, considering the same operational factors and the ability to manage them

References

Air Force Doctrine Publication 3-60 (2021). Targeting, USAF, Available at: https://www.doctrine.af.mil/Doctrine-Publications/AFDP-3-60-Targeting/, (10.07.2023)

Baik, S. W. (2013). A Raid-Type War-Game Model Based on a Discrete Multi-Weapon Lanchester's Law. Management Science and Financial Engineering, 19(2), 31-36.

Bonder, S., & Farrell, R. (1970). Development of models for defense systems planning. Report No. SRL, 2147, 70-2.

Caldwell, B., Hartman, J., Parry, S., Washburn, A., & Yungren, M. (2000). Aggregated Combat Models. Operations Research Department Naval Postgraduate School Monterey, Monterey California.

Davis, P. K. (1989). Modeling of soft factors in the RAND strategy assessment system (RSAS) (Vol. 7538). Rand Corporation.

Deitchman, S. J. (1962). A Lanchester Model of Guerilla Warfare. Operations. Research, 10. https://doi.org/10.1287/opre.10.6.818.

Doctrine of Serbian Armed Force (2010), Belgrade, https://www.scribd.com/doc/270209153/Doktrina-Vojske-Srbije-kraj, (08.06.2023)

Donald P. Gaver & Patricia A. Jacobs (2000). DISC-O-TIC: A Discrete-Time Analytical Meta-Model for Use in Combat Systems Studies that Utilize High-Resolution Simulation Models, Naval Postgraduate School Monterey, California.

Engel, J. H. (1954). A verification of Lanchester's law. Journal of the Operations Research Society of America, 2(2), 163-171.

Engelhard, J.P. (1991). Desert Shield and Desert Storm – Special Report, Strategic Studies Institute, US Army War College.

Engineering Design Handbook - Darcom Pamphlet, (1979). Army Weapon Systems Analysis II, United States Army Materiel Development and Readiness Command, p 28-27 to 28-35.

Fricker, D. R. (1997). Attrition Models of the Ardens Campaign, RAND, Santa Monica, California.

Gerardo, M. C. (2022). Tesis Doctoral, Automated Support for Battle Operational-Strategic Decision-Making,http://e-spacio.uned.es/fez/eserv/tesisuned:ED-Pg-IngSisCon-Gminguela/MINGUELA_CASTRO_Gerardo_Tesis.pdf, (26.10.2023)

Gulf War Air Power Survey Vol. IV, Weapons, Tactics, and Training and Space Operations, Washington, (1993b), https://media.defense.gov/2010/Sep/27/2001329817/-1/-1/0/AFD-100927-066.pdf, (10.07.2023)

Gulf War Air Power Survey, Vol. I, Planning and Command and Control, Washington D.C., (1993), https://media.defense.gov/2010/Sep/27/2001329802/-1/-1/0/AFD-100927-062.pdf, (09.06.2023)

Gulf War Air Power Surwey, Vol. V, A Statistical Compendium and Chronology, Washington, (1993c), pp. 203, 232 - 233, 641-649, https://media.defense.gov/2010/Sep/27/2001329816/-1/-1/0/AFD-100927-065.pdf (10.07.2023)

Gulf War, Air Power Survey Vol. II, Operations and Effects and Effectiveness, (1993a), Government Printing Office, Washington, D. C., pp. 120-130, 156, https://apps.dtic.mil/sti/pdfs/ADA279742.pdf (08.06.2023)

Han, Q., Li, W., Xu, Q., Zhao, M., Huo, R., & Zhang, T. (2022). Lanchester equation for cognitive domain using hesitant fuzzy linguistic terms sets. Journal of Systems Engineering and Electronics, 33(3), 674-682.

Helmbold, R. L. (1965). A modification of Lanchester's equations. Operations Research, 13(5), 857-859.

Hsiao, H., & Guu, S. M. (2004). A differential game for air-land combat operations. WSEAS Transactions on systems, 3(4), 1535-1541.

Kostić, M. S., Jovanović, A. D., & Kovač, M. V. (2023). Modeling of combat operations. Vojnotehnički glasnik/Military Technical Courier, 71(3), 529-558.

Kostić, M., & Jovanović, A. (2023). Lanchester's differential equations as operational command decision making tools. Serbian Journal of Management, 18(1), 71-92.

Kress, M. (2020). Lanchester models for irregular warfare. Mathematics, 8(5), 737.

Lanchester, F. W. (1916). Aircraft in warfare: The dawn of the fourth arm. Constable limited.

Liu, Y., Zhang, X., Du, H., Wang, G., & Zeng, D. (2022). Construction and Simulation of Lanchester Battle Equations Based on Space-based Information Support. In Journal of Physics: Conference Series (Vol. 2384, No. 1, p. 012011). IOP Publishing.

Lucas, T. W., & Turkes, T. (2004). Fitting Lanchester equations to the battles of Kursk and Ardennes. Naval Research Logistics (NRL), 51(1), 95-116.

MacKay, N. (2005). Lanchester combat models. Department of Mathematics, University of York, New York.

McCartney, M. (2023). Battling with Lanchester’s equations in the classroom. International Journal of Mathematical Education in Science and Technology, 54(3), 451-461.

Milovanovic, V. G. (1988). Numerical Analysis (part I). Naucna Knjiga Belgrade.

Morse, M. P. & Kimball, S. G. (1950). Methods of Operations Research. The Technology Press, Massachusetts Institute of Technology, John Wiley & sons, INC. – New York and Champan & Hall, ltd. London.

Osipov, M., (1915). The Influence of the Numeric Strength of Engaged Forces on Their Casualties. Originally Published in the Tzarist Russian Journal, Translation of September 1991 by Dr. Robert L. Heimbold and Dr. Allan S. Rehm, US Army Concepts Analysis Agency, https://apps.dtic.mil/sti/citations/ADA241534, (10.07.2023).

Petric J. J. & Petric Z. (1974). Operation Research in Armed Force. Military publishing house, Belgrade, (in Serbian).

Radenkovic, B., Stanojevic, M. & Markovic, A. (1999). Computer simulation – textbook. Faculty of Organizational Science and Faculty of Transportation, Belgrade.

Radunovic D. P. (2003). Numerical methods. Akademska misao, Belgrade, (in Serbian).

Stevanović, D., Ćirić, M., Simić, S., & Baltić, V. (2008). Diskretna matematika: osnove kombinatorike i teorije grafova. Društvo matematičara Srbije.

Taylor, G. J. (1980). Lanchester Models of Warfare, Vol. I. Naval Postgraduate School, Monterey California.

Taylor, G. J. (1980a). Lanchester-Type Models of Warfare, Volume II. Naval Postgraduate School, Monterey California pp. 814.

Taylor, J. G. (1982). Annihilation prediction for lanchester-type models of modern warfare with logistics constraints. Mathematical Modelling, 3(4), 323-340.

Washburn, А. & Kress, M. (2009). Combat Modeling, Springer Dordrecht Heidelberg London New York, pp. 79 – 100. Available at: https://link.springer.com/book/10.1007/978-1-4419-0790-5, (10.07.2023)

Washburn, А. (2000). Lanchester Systems, Available at: https://faculty.nps.edu/awashburn/Files/Notes/Lanchester.pdf, (08.06.2023)

Yildirim, U.Z., Taylor, J.G. & Murphy S.M. (2000). Hierarchy of models approach for aggregated force attrition. Proceedings of the 2000 Winter Simulation Conference, pp. 925 – 932, https://www.researchgate.net/publication/2519695_Hierarchy-Of-Models_Approach_For_Aggregated-Force_Attrition (10.09.2023)

Published
2023/11/11
Section
Original Scientific Paper