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Optimal control of counter-terrorism tactics

Author

Listed:
  • Bayón, L.
  • Fortuny Ayuso, P.
  • García-Nieto, P.J.
  • Grau, J.M.
  • Ruiz, M.M.

Abstract

This paper presents an optimal control problem to analyze the efficacy of counter-terrorism tactics. We present an algorithm that efficiently combines the Minimum Principle of Pontryagin, the shooting method and the cyclic descent of coordinates. We also present a result that allows us to know a priori the steady state solutions. Using this technique we are able to choose parameters that reach a specific solution, of which there are two. Numerical examples are presented to illustrate the possibilities of the method. Finally, we study the sufficient conditions for optimality and suggest an improvement on the functional which also guarantees local optimality.

Suggested Citation

  • Bayón, L. & Fortuny Ayuso, P. & García-Nieto, P.J. & Grau, J.M. & Ruiz, M.M., 2019. "Optimal control of counter-terrorism tactics," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 477-491.
    • Handle: RePEc:eee:apmaco:v:347:y:2019:i:c:p:477-491
    DOI: 10.1016/j.amc.2018.11.022
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    References listed on IDEAS

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