Distribution-valued heavy-traffic limits for the G/GI/∞ queue
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چکیده
We study the G/GI/∞ queue in heavy-traffic using tempered distribution-valued processes which track the age and residual service time of each customer in the system. In both cases, we use the continuous mapping theorem together with functional central limit theorem results in order to obtain fluid and diffusion limits for these processes in the space of tempered distributionvalued processes. We find that our diffusion limits are tempered distribution-valued OrnsteinUhlenbeck processes.
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تاریخ انتشار 2008