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this paper explores the behavior of algorithms for buffering packets weighted by different levels of Quality of Service (QoS) guarantees in a single queue. Buffer space is limited, and packet loss occurs when the buffer overflows. this paper describe a modification of the previously proposed "Preemptive Greedy" algorithm of for buffer management and give an analysis to show that this algorithm achieves a competitive ratio of at most 1.75. This improves upon recent work showing a 1.98 competitive ratio, and a previous result that shows a simple greedy algorithm has a competitive ratio of 2.
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