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A proof of the Kikuta–Ruckle conjecture on cyclic caching of resources
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Alpern, Steve, Fokkink, Robbert and Pelekis, Christos (2012) A proof of the Kikuta–Ruckle conjecture on cyclic caching of resources. Journal of Optimization Theory and Applications, Vol.153 (No.3). pp. 650-661. doi:10.1007/s10957-011-9977-1
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Official URL: http://dx.doi.org/10.1007/s10957-011-9977-1
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: | Journal Article | ||||
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| Divisions: | Faculty of Social Sciences > Warwick Business School > Operational Research & Management Sciences Faculty of Social Sciences > Warwick Business School |
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| Journal or Publication Title: | Journal of Optimization Theory and Applications | ||||
| Publisher: | Springer New York LLC | ||||
| ISSN: | 0022-3239 | ||||
| Official Date: | 2012 | ||||
| Dates: |
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| Volume: | Vol.153 | ||||
| Number: | No.3 | ||||
| Page Range: | pp. 650-661 | ||||
| DOI: | 10.1007/s10957-011-9977-1 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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