Article ID: | iaor20123939 |
Volume: | 153 |
Issue: | 3 |
Start Page Number: | 650 |
End Page Number: | 661 |
Publication Date: | Jun 2012 |
Journal: | Journal of Optimization Theory and Applications |
Authors: | Alpern Steve, Fokkink Robbert, Pelekis Christos |
Keywords: | allocation: resources |
Suppose that a hider possesses a continuously divisible resource that he may distribute around a circle. The resources on a random arc in the circle are lost. The hider has a priori information on the length of the arc and he wants to maximize the probability that the retrieved portion exceeds a critical quantity, which is enough to survive on. We show that there exists an optimal resource distribution, which uses