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- W2186278568 abstract "We consider the problem of scheduling jobs that are given as groups of non-intersecting segments on the real line. Each job Jj is associated with an interval, Ij, which consists of up to t segments, for some t 1, and a weight (prot), wj; two jobs are in conict if their intervals intersect. Such jobs show up in a wide range of applications, including the transmission of continuous-media data, allocation of linear resources (e.g. bandwidth in linear processor arrays), and in computational biology/geometry. The objective is to schedule a subset of non-conicting jobs of maximum total weight. Our problem can be formulated as the problem of nding a maximum weight independent set in a t-interval graph (the special case of t = 1 is an ordinary interval graph). We show that, for t 2, this problem is APX-hard, even for highly restricted instances. Our main result is a 2t-approximation algorithm for general instances. This is based on a novel fractional version of the Local Ratio technique. One implication of this result is the rst constant factor approximation for non-overlapping alignment of genomic sequences. We also derive a bi-criteria polynomial time approximation scheme for a restricted subclass of t-interval graphs." @default.
- W2186278568 created "2016-06-24" @default.
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- W2186278568 date "2005-01-01" @default.
- W2186278568 modified "2023-10-14" @default.
- W2186278568 title "Scheduling Split Intervals Reuven Bar-Yehuda yz Magn us M. Halld orsson x Joseph (Se) Naor y" @default.
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