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The authors present an analytical study of throughput measures in processor sharing queuing systems with randomly varying service rates, modeling e.g. a communication link in an integrated services network carrying prioritized fixed rate stream traffic and rate adaptive elastic traffic. A number of distinct throughput measures for the elastic traffic are defined, analyzed and compared under various system conditions, both by analytical means and simulation. It is concluded that the call-average throughput, which is most relevant from the user point of view but typically hard to analyze, is very well approximated by the newly proposed so-called expected instantaneous throughput, which is readily obtained from the system's steady state distribution.