Optimal control of counter-terrorism tactics

L. Bayón, P. Fortuny Ayuso, P.J. García-Nieto, J.M. Grau and M.M. Ruiz

Applied Mathematics and Computation, 2019, vol. 347, issue C, 477-491

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.

Keywords: Optimal control; Counter-terrorism; Pontryagin’s principle; Shooting method (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:347:y:2019:i:c:p:477-491

DOI: 10.1016/j.amc.2018.11.022

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