36 citations · 57 across the 10 of their papers we have counts for
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math.PR2011
The Fighter Problem: Optimal Allocation of a Discrete Commodity
Jay Bartroff, Ester Samuel-Cahn
The Fighter problem with discrete ammunition is studied. An aircraft (fighter) equipped with anti-aircraft missiles is intercepted by enemy airplanes, the appearance of which f…
math.PR2011
A Proof of the Bomber Problem's Spend-It-All Conjecture
Jay Bartroff
The Bomber Problem concerns optimal sequential allocation of partially effective ammunition while under attack from enemies arriving according to a Poisson process over a time…
math.PR2011
On Optimal Allocation of a Continuous Resource Using an Iterative Approach and Total Positivity
Jay Bartroff, Larry Goldstein, Yosef Rinott +1
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~…