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A stochastic air combat logistics decision model for Blue versus Red opposition

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  • Chad W. Seagren
  • Donald P. Gaver
  • Patricia A. Jacobs

Abstract

Technologically advanced aircraft rely on robust and responsive logistics systems to ensure a high state of operational readiness. This paper fills a critical gap in the literature for combat models by closely relating effectiveness of the logistics system to determinants of success in combat. We present a stochastic diffusion model of an aerial battle between Blue and Red forces. The number of aircraft of Blue forces aloft and ready to be aloft on combat missions is limited by the maximum number of assigned aircraft, the reliability of aircraft subsystems, and the logistic system's ability to repair and replenish those subsystems. Our parsimonious model can illustrate important trade‐offs between logistics decision variables and operational success.

Suggested Citation

  • Chad W. Seagren & Donald P. Gaver & Patricia A. Jacobs, 2019. "A stochastic air combat logistics decision model for Blue versus Red opposition," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(8), pages 663-674, December.
    • Handle: RePEc:wly:navres:v:66:y:2019:i:8:p:663-674
    DOI: 10.1002/nav.21876
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    References listed on IDEAS

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    1. Howard Brackney, 1959. "The Dynamics of Military Combat," Operations Research, INFORMS, vol. 7(1), pages 30-44, February.
    2. Marvin B. Schaffer, 1968. "Lanchester Models of Guerrilla Engagements," Operations Research, INFORMS, vol. 16(3), pages 457-488, June.
    3. Thomas W. Lucas & Turker Turkes, 2004. "Fitting Lanchester equations to the battles of Kursk and Ardennes," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(1), pages 95-116, February.
    4. Sidney Moglewer & Carl Payne, 1970. "A game theory approach to logistics allocation," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 17(1), pages 87-97, March.
    5. Wayne P. Hughes, 1995. "A salvo model of warships in missile combat used to evaluate their staying power," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(2), pages 267-289, March.
    6. Seth Bonder, 1967. "The Lanchester Attrition-Rate Coefficient," Operations Research, INFORMS, vol. 15(2), pages 221-232, April.
    7. Beamon, Benita M., 1998. "Supply chain design and analysis:: Models and methods," International Journal of Production Economics, Elsevier, vol. 55(3), pages 281-294, August.
    8. Ian R. Johnson & Niall J. MacKay, 2011. "Lanchester models and the battle of Britain," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(3), pages 210-222, April.
    9. Jerome Bracken, 1995. "Lanchester models of the ardennes campaign," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(4), pages 559-577, June.
    10. James G. Taylor & Gerald G. Brown, 1983. "Annihilation Prediction for Lanchester-Type Models of Modern Warfare," Operations Research, INFORMS, vol. 31(4), pages 752-771, August.
    11. S. J. Deitchman, 1962. "A Lanchester Model of Guerrilla Warfare," Operations Research, INFORMS, vol. 10(6), pages 818-827, December.
    12. Cade M. Saie & Darryl K. Ahner, 2018. "Investigating the dynamics of nation-building through a system of differential equations," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 69(4), pages 619-629, April.
    13. Herbert K. Weiss, 1966. "Combat Models and Historical Data: The U.S. Civil War," Operations Research, INFORMS, vol. 14(5), pages 759-790, October.
    14. M Kress & I Talmor, 1999. "A new look at the 3:1 rule of combat through Markov Stochastic Lanchester models," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(7), pages 733-744, July.
    15. C. J. Ancker, 1967. "The Status of Developments in the Theory of Stochastic Duels—II," Operations Research, INFORMS, vol. 15(3), pages 388-406, June.
    16. Harrison C. Schramm & Donald P. Gaver, 2013. "Lanchester for cyber: The mixed epidemic‐combat model," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(7), pages 599-605, October.
    17. Connor McLemore & Donald Gaver & Patricia Jacobs, 2016. "A model for geographically distributed combat interactions of swarming naval and air forces," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(7), pages 562-576, October.
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