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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

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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
Divisions: Faculty of Social Sciences > Warwick Business School > Operational Research & Management Sciences
Faculty of Social Sciences > Warwick Business School
Journal or Publication Title: Journal of Optimization Theory and Applications
Publisher: Springer New York LLC
ISSN: 0022-3239
Official Date: 2012
Dates:
DateEvent
2012Published
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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