2002 | OriginalPaper | Buchkapitel
Improved Approximation Algorithms for Resource Allocation
verfasst von : Gruia Calinescu, Amit Chakrabarti, Howard Karloff, Yuval Rabani
Erschienen in: Integer Programming and Combinatorial Optimization
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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We study the problem of finding a most profitable subset of n given tasks, each with a given start and finish time as well as profit and resource requirement, that at no time exceeds the quantity B of available resource. We show that this NP-hard Resource Allocation problem can be (1/2 - ε)-approximated in polynomial time, which improves upon earlier approximation results for this problem, the best previously published result being a 1/4-approximation. We also give a simpler and faster 1/3-approximation algorithm.