Citation:
Jay Bartroff, Larry Goldstein, Y. R., & Samuel-Cahn, E. . (2010). On Optimal Allocation of a Continuous Resource Using an Iterative Approach and Total Positivity. Discussion Papers. presented at the 1, Advances in Applied Probability, (2010) Vol. 42, Pages 795-815. Retrieved from /files/dp530.pdf
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