Two continuous methods for determining a minimal risk path through a minefield

Geoff Mercer, Harvinder Sidhu

Abstract


Two formulations for determining the minimal risk path of a vehicle through a minefield are considered and compared. Firstly, by following a calculus of variations argument a system of four coupled ODEs are derived. These are solved via a shooting method and computational difficulties encountered in this process are discussed. Secondly, the trajectory of the vehicle is approximated by a discrete (but large) system of coupled springs and masses resulting in a large but well behaved system of ODEs to solve. Numerical solutions to this system are investigated. The strengths and weaknesses of each approach are discussed.

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DOI: http://dx.doi.org/10.21914/anziamj.v48i0.56



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.