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1. S. Aalto, U. Ayesta and E. Nyberg-Oksanen, M/G/1/MLPS compared to M/G/1/PS, Operations Research Letters, vol. 33, no. 5, pp. 519-524, 2005 (link)(bib)

   Abstract: Multilevel Processor Sharing scheduling disciplines have recently been resurrected in papers that focus on the differentiation between short and long TCP flows in the Internet. We prove that, for M/G/1 queues, such disciplines are better than the Processor Sharing discipline with respect to the mean delay whenever the hazard rate of the service time distribution is decreasing.