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8th International Symposium on Parallel Architectures,Algorithms and Networks (ISPAN'05)
An Online Partially Fractional Knapsack Problem
Las Vegas, Nevada, USA
December 07-December 09
ISBN: 0-7695-2509-1
John Noga, California State University Northridge
Veerawan Sarbua, California State University Northridge
The knapsack problem can and has been used to model many resource sharing problems. The allocation of a portion of a resource to a particular agent provides a benefit to the system, but also blocks other agents from utilizing that portion of the resource. For a problem where the number of agents as well as each agent?s demand and potential benefit are known prior to any decision being made, the optimal allocation and its value can be calculated. In many situations these values are not known initially, but only learned over time. Online algorithms and competitive analysis are often employed when a problem requires decisions to be made prior to having all information available. In this paper we will suggest an online version of the knapsack problem, provide some justification for the model, give the exact competitive ratio for the problem in the deterministic case, and provide bounds on the competitive ratio in the randomized case.
Citation:
John Noga, Veerawan Sarbua, "An Online Partially Fractional Knapsack Problem," ispan, pp.108-112, 8th International Symposium on Parallel Architectures,Algorithms and Networks (ISPAN'05), 2005
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