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. ISSN 0022-3239

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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
Volume:	Vol.153
Number:	No.3
Page Range:	pp. 650-661
Identification Number:	10.1007/s10957-011-9977-1
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
URI:	http://wrap.warwick.ac.uk/id/eprint/50863

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