15 citations · 18 across the 7 of their papers we have counts for
7 papers
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…
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~…
Extreme(ly) mean(ingful): Sequential formation of a quality group
Abba M. Krieger, Moshe Pollak, Ester Samuel-Cahn
The present paper studies the limiting behavior of the average score of a sequentially selected group of items or individuals, the underlying distribution of which, , belongs to…
The Spend-It-All Region and Small Time Results for the Continuous Bomber Problem
Jay Bartroff, Larry Goldstein, Ester Samuel-Cahn
A problem of optimally allocating partially effective ammunition to be used on randomly arriving enemies in order to maximize an aircraft's probability of surviving for time~$t…
Select sets: Rank and file
Abba M. Krieger, Moshe Pollak, Ester Samuel-Cahn
In many situations, the decision maker observes items in sequence and needs to determine whether or not to retain a particular item immediately after it is observed. Any decision r…
An unexpected connection between branching processes and optimal stopping
David Assaf, Larry Goldstein, Ester Samuel-Cahn
A curious connection exists between the theory of optimal stopping for independent random variables, and branching processes. In particular, for the branching process with of…