Mixed continuous-bit-rate (CBR) and bursty traffic contending for transmission on any output line of a broadband switch based on the asynchronous transfer mode (ATM) is modeled as a superposition of traffic from a number of independent random and binary sources. With the use of a recursive algorithm, a complete queuing analysis is presented. The queue length distribution, the delay distribution, and the cell loss probability for a finite buffer system are exactly calculated. Cases considered and analyzed include: delay priority for CBR traffic, absolute cell loss priority for DS1/DS3 emulation or guaranteed bandwidth CBR traffic with a stringent cell loss requirement, and threshold cell dropping for voice CBR traffic with a high degree of cell loss tolerance.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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Hou et al. (2002) studied this question.
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