This multiplexer is assumed to have wideband (WB) and narrowband (NB) customers, where the arrival process for the former is modeled as a single birth-death Markovian chain and that of the latter is modeled as an independent Poisson. Each NB customer needs a single server for service while each WB customer needs more than one server; both of their service times are the same and constant. Higher access priority is given to WB customers. To protect the NB service quality, a cutoff parameter which denotes the maximum number of WB customers simultaneously served in one slot, is provided. Performance measures including queue length distribution, blocking probability, and mean waiting time are obtained.
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