On Optimal Allocation of a Continuous Resource Using an Iterative Approach and Total Positivity

Jay Bartroff, Larry Goldstein, Yosef Rinott and Ester Samuel-Cahn

Discussion Paper Series from The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem

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

Pages: 21 pages
Date: 2010-01
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Citations: View citations in EconPapers (5)

Published in Advances in Applied Probability, (2010) vol. 42, pages 795-815.

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