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In a parallel multichannel data communication system the stop-and-wait Automatic Repeat ReQuest (ARQ) protocol for parallel channels with an in-sequence delivery guarantee is used for error control. Under the assumption that all channels have the same transmission rate but possibly different time-invariant error rates, the authors evaluate the probability generating function of the resequencing buffer occupancy and the probability mass function of the resequencing delay. Then, by assuming the Gilbert-Elliott model for each channel the probability mass functions of the resequencing buffer occupancy and the resequencing delay for time-invariant channels are computed. From numerical and simulation results, the mean resequencing buffer occupancy and the mean resequencing delay as functions of system parameters are analyzed.
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