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Average Damage Caused by Multiple Weapons against an Area Target of Normally Distributed Elements
Department of Applied Mathematics and Statistics University of California, Santa Cruz, CA, USA
Department of Applied Mathematics and Statistics University of California, Santa Cruz, CA, USA
TRADOC Analysis Center Naval Postgraduate School, Monterey, CA, USA
Department of Applied Mathematics Naval Postgraduate School, Monterey, CA, USA
- 1 Department of Applied Mathematics and Statistics University of California, Santa Cruz, CA, USA
- 2 Department of Applied Mathematics and Statistics University of California, Santa Cruz, CA, USA
- 3 TRADOC Analysis Center Naval Postgraduate School, Monterey, CA, USA
- 4 Department of Applied Mathematics Naval Postgraduate School, Monterey, CA, USA
American Journal of Operations Research·Volume 07 (2017)·Pages 289–306·Published 22 August 2017·DOI10.4236/ajor.2017.75022
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Abstract
This paper investigates the effect of launching multiple weapons against an area target of normally distributed elements. We provide an analytical form of the average damage fraction and then apply it to obtain optimal aimpoints. To facilitate the computational efforts in practice, we also consider optimizations over given constrained patterns of aimpoints. Finally, we derive scaling laws for optimal aimpoints and optimal damage fraction with respect to the radius of the area target.
KeywordsArea TargetCarleton Damage FunctionAverage Damage FractionOptimal AimpointsScaling Laws
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