Alpern, Steven, Fokkink, Robbert and Pelekis, Christos (2012) A proof of the Kikuta–Ruckle Conjecture on cyclic caching of resources. Journal of Optimization Theory and Applications, 153 (3). pp. 650-661. ISSN 0022-3239
Full text not available from this repository.Abstract
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 a finite number of point caches of equal size, establishing a conjecture of Kikuta and Ruckle. Our result is related to a conjecture of Samuels' on-tail probabilities.
| Item Type: | Article |
|---|---|
| Official URL: | http://www.springer.com/mathematics/journal/10957 |
| Additional Information: | © 2012 The authors |
| Divisions: | LSE |
| Subjects: | Q Science > QA Mathematics |
| Date Deposited: | 06 Jan 2012 10:25 |
| Last Modified: | 06 Jan 2024 01:18 |
| URI: | http://eprints.lse.ac.uk/id/eprint/41144 |
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