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Optimal motion planning in rapid‐fire combat situations with attacker uncertainty

Author

Listed:
  • Claire Walton
  • Panos Lambrianides
  • Isaac Kaminer
  • Johannes Royset
  • Qi Gong

Abstract

This article provides a modeling framework for quantifying cost and optimizing motion plans in combat situations with rapid weapon fire, multiple agents, and attacker uncertainty characterized by uncertain parameters. Recent developments in numerical optimal control enable the efficient computation of numerical solutions for optimization problems with multiple agents, nonlinear dynamics, and a broad class of objectives. This facilitates the application of more realistic, equipment‐based combat models, which track both more realistic models, which track both agent motion and dynamic equipment capabilities. We present such a framework, along with a described algorithm for finding numerical solutions, and a numerical example.

Suggested Citation

  • Claire Walton & Panos Lambrianides & Isaac Kaminer & Johannes Royset & Qi Gong, 2018. "Optimal motion planning in rapid‐fire combat situations with attacker uncertainty," Naval Research Logistics (NRL), John Wiley & Sons, vol. 65(2), pages 101-119, March.
    • Handle: RePEc:wly:navres:v:65:y:2018:i:2:p:101-119
    DOI: 10.1002/nav.21790
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    References listed on IDEAS

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    1. 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.
    2. Qi Gong & Isaac Michael Ross & Fariba Fahroo, 2016. "Spectral and Pseudospectral Optimal Control Over Arbitrary Grids," Journal of Optimization Theory and Applications, Springer, vol. 169(3), pages 759-783, June.
    3. Akira Ohsumi, 1991. "Optimal search for a Markovian target," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(4), pages 531-554, August.
    4. Hoam Chung & Elijah Polak & Johannes O. Royset & Shankar Sastry, 2011. "On the optimal detection of an underwater intruder in a channel using unmanned underwater vehicles," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(8), pages 804-820, December.
    5. Joseph Foraker & Johannes O. Royset & Isaac Kaminer, 2016. "Search-Trajectory Optimization: Part I, Formulation and Theory," Journal of Optimization Theory and Applications, Springer, vol. 169(2), pages 530-549, May.
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