Author(s)

Hongyun Wang¹, George Labaria¹, Cardy Moten², Hong Zhou^3*

¹Department of Applied Mathematics and Statistics University of California, Santa Cruz, CA, USA.
²TRADOC Analysis Center Naval Postgraduate School, Monterey, CA, USA.
³Department of Applied Mathematics Naval Postgraduate School, Monterey, CA, USA.

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.

Area Target, Carleton Damage Function, Average Damage Fraction, Optimal Aimpoints, Scaling Laws

Wang, H. , Labaria, G. , Moten, C. and Zhou, H. (2017) Average Damage Caused by Multiple Weapons against an Area Target of Normally Distributed Elements. American Journal of Operations Research, 7, 289-306. doi: 10.4236/ajor.2017.75022.