Tractable approximations to multistage decisions in air defence scenarios

Adrian Hall Pincombe, Brandon Malcolm Pincombe

Abstract


Simulations are commonly used to investigate the control and resource allocation problems associated with pitting aircraft against ground based air defences. Such simulations rapidly become computationally intractable as units are added. Previous work described an envelope method that retains computational tractability if the lowest and highest cost target sequences can be defined a priori and used to establish solution bounds. This approach must be modified to be applied to the more common case where there are no obvious best or worst sequences of targets. We show that these bounding sequences can be approximated by using binary comparisons and by basing decisions on a heuristic. This approach compares well with exact results in some computationally tractable situations.

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DOI: http://dx.doi.org/10.21914/anziamj.v49i0.349



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