Citation:
Jay Bartroff, Larry Goldstein, Yosef Rinott, and Ester Samuel-Cahn. “On Optimal Allocation Of A Continuous Resource Using An Iterative Approach And Total Positivity”. Discussion Papers 2010. Web.
Abstract:
We study a class of optimal allocation problems, including the well-known Bomber Problem, with the following common probabilistic structure. An aircraft equipped with an amount x of ammunition is intercepted by enemy airplanes arriving according to a homogenous Poisson process over a fixed time duration t. Upon encountering an enemy, the aircraft has the choice of spending any amount 0