2009/05/25 by Łukasz Jeż, Jeż, Łukasz
Computer Science · #Data Structures and Algorithms (cs.DS) #F.2.2 #FOS: Computer and information sciences #cs.DS
paper · pdf · doi:10.48550/arxiv.0905.4068
11 pages, 3-4 figures; new version due to STACS submission
arxiv created 2010/02/03 · arxiv updated 2010/02/08
In 2005 Li et al. gave a phi-competitive deterministic online algorithm for scheduling of packets with agreeable deadlines with a very interesting analysis. This is known to be optimal due to a lower bound by Hajek. We claim that the algorithm by Li et al. can be slightly simplified, while retaining its competitive ratio. Then we introduce randomness to the modified algorithm and argue that the competitive ratio against oblivious adversary is at most 4/3. Note that this still leaves a gap between the best known lower bound of 5/4 by Chin et al. for randomised algorithms against oblivious adversary.