Quasi-Birth-and-Death Processes with Rational Arrival Process Components

@inproceedings{Bean2007QuasiBirthandDeathPW,
  title={Quasi-Birth-and-Death Processes with Rational Arrival Process Components},
  author={Bean and Bo Friis Nielsen},
  year={2007}
}
In this paper we introduce the concept of a Quasi-Birth-and-Death process (QBD) with Rational Arrival Process components. We use the physical interpretation of a Rational Arrival Process (RAP), developed by Asmussen and Bladt, to consider such a Markov process. We exploit this interpretation to develop an analytic method for such a process, that parallels the analysis of a traditional QBD. We demonstrate the analysis by considering a queue where the arrival process and the sequence of service… CONTINUE READING

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