The Mathematical Underpinnings of Defensive Counterair Operations in Great Power Competition

Authors

  • Ethan Salgado US Air Force Academy
  • John Miller

DOI:

https://doi.org/10.37266/ISER.2025v12i1.pp38-52

Keywords:

Agile Combat Employment, Combat Air Patrols, Defensive Counterair, Missile Defense, Operations Planning, Simulation

Abstract

In the context of the Great Power Competition, particularly with China's advancing long-range munitions capabilities, there is a critical need to adapt defensive counterair (DCA) operations planning. This paper addresses some challenges of the complex and time-consuming DCA planning processes, often resulting in suboptimal decisions. We explore the mathematical foundations of DCA operations and provide a closed-form solution that determines aircraft requirements based on desired operational distances and calculates required distances based on aircraft availability. This approach helps to enable the Agile Combat Employment (ACE) concept, offering increased flexibility in response to potential denial of access to predetermined locations. We demonstrate the applicability of our equations through a couple of notional examples and simulations, showing potential for more than 75%-time savings improvement for the calculations compared to current methods and improved mission effectiveness from improved aircraft allocation techniques. This potential increase in efficiency and effectiveness could improve the ability to adapt to changing strategic environments, supporting the ACE framework's goals of increased survivability and operational flexibility in contested spaces.

Author Biography

Ethan Salgado, US Air Force Academy

Assistant Professor

References

Ahuja, Ravindra K., Arvind Kumar, Krishna C. Jha, and James B. Orlin. 2007. “Exact and Heuristic Algorithms for the Weapon-Target Assignment Problem.” Operations Research 55 (6): 1136–1146. https://pubsonline.informs.org/doi/10.1287/opre.1070.0440

Boardman, N. T., Brian J. Lunday, and M. Robbins. 2017. “Heterogeneous surface-to-air missile defense battery location: a game theoretic approach.” Heuristics 23:417–447. https://link.springer.com/content/pdf/10.1007/s10732-017-9350-0.pdf

Brown, Gerald, Matthew Carlyle, Douglas Diehl, Jeffrey Kline, and Kevin Wood. 2005. “A two-sided optimization for theater ballistic missile defense.” Operations research 53 (5): 745–763. https://pubsonline.informs.org/doi/abs/10.1287/opre.1050.0231

Davis, Michael T, Matthew J Robbins, and Brian J Lunday. 2017. “Approximate dynamic programming for missile defense interceptor fire control.” European Journal of Operational Research 259 (3): 873–886. https://www.sciencedirect.com/science/article/pii/S0377221716309481

Foster, Harry. 2018. “The air domain and the challenges of modern air war- fare.” 2018 Index of US Military Strength, 59–73. https://www.heritage.org/sites/default/files/2017-09/2018_IndexOfUSMilitaryStrength_FOSTER.pdf

Haywood, Adam B, Brian J Lunday, and Matthew J Robbins. 2022. “Intruder detection and interdiction modeling: A bilevel programming approach for ballistic missile defense asset location.” Omega 110:102640. https://www.sciencedirect.com/science/article/pii/S0305048322000482

Lloyd, Stuart P, and Hans S Witsenhausen. 1986. “Weapons allocation is NP-complete.” In 1986 summer computer simulation conference, 1054– 1058.

Moer, Zachary T., Christopher M. Chini, Peter P. Feng, and Steven J. Schuldt. 2023. "Contested Agile Combat Employment: A Site-Selection Methodology." Air & Space Operations Review 2 (1): 64-79. https://www.airuniversity.af.edu/Portals/10/ASOR/Journals/Volume-1_Number-3/Chini_Contested_Agile_Combat_Employment.pdf

Sumption, J. 2017. The Hundred Years War, Volume 4: Cursed Kings. The Middle Ages Series v. 4. University of Pennsylvania Press, Incorporated. isbn: 9780812223880. https://books.google.com.sg/books?id=aDWXD gAAQBAJ.

Tsamtsaridis, Charalampos I. 2011. “Stochastic network interdiction for optimizing defensive counter air operations planning.” https://www.semanticscholar.org/paper/Stochastic-network-interdiction-for-optimizing-air-Tsamtsaridis/b1be0085d72dd5a7961ca9f71a1603c113f9bc7c

United States Air Force. 2023. “Air Force Doctrine Publication 3-01, Counterair Operations.” Maxwell AFB, AL: Lemay Center. https://www.doctrine.af.mil/Doctrine-Publications/AFDP-3-01-Counterair-Ops/

United States Air Force. 2022. “Air Force Doctrine Note 1-21, Agile Combat Employment.” Maxwell AFB, AL: Lemay Center. https://www.doctrine.af.mil/Operational-Level-Doctrine/AFDN-1-21-Agile-Combat-Employment/

United States Joint Chiefs of Staff. 2024. “Joint publication 3-01: Countering air and missile threats.” Incorporating Change 1, Washington, DC.

United States Joint Chiefs of Staff. 2019 “Joint Publication 3-30: Joint Air Operations.” Washington, DC. https://www.jcs.mil/Portals/36/Documents/Doctrine/pubs/jp3_30.pdf

Von Stackelberg, Heinrich. 2010. Market structure and equilibrium. Springer Science & Business Media. https://link.springer.com/book/10.1007/978-3-642-12586-7

Published

2025-03-05

How to Cite

Salgado, E., & Miller, J. (2025). The Mathematical Underpinnings of Defensive Counterair Operations in Great Power Competition. Industrial and Systems Engineering Review, 12(1), 38-52. https://doi.org/10.37266/ISER.2025v12i1.pp38-52