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A Tight Upper Bound on Online Buffer Management for Multi-Queue Switches with Bicodal Buffers
Koji KOBAYASHI Shuichi MIYAZAKI Yasuo OKABE
IEICE TRANSACTIONS on Information and Systems
Publication Date: 2008/12/01
Online ISSN: 1745-1361
Print ISSN: 0916-8532
Type of Manuscript: PAPER
Category: Algorithm Theory
competitive analysis, multi-queue switches, buffer management,
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The online buffer management problem formulates the problem of queuing policies of network switches supporting QoS (Quality of Service) guarantee. In this paper, we consider one of the most standard models, called multi-queue switches model. In this model, Albers et al. gave a lower bound , and Azar et al. gave an upper bound on the competitive ratio when m, the number of input ports, is large. They are tight, but there still remains a gap for small m. In this paper, we consider the case where m=2, namely, a switch is equipped with two ports, which is called a bicordal buffer model. We propose an online algorithm called Segmental Greedy Algorithm (SG) and show that its competitive ratio is at most ( 1.231), improving the previous upper bound by ( 1.286). This matches the lower bound given by Schmidt.