MAP/SM/1/b model of a store and forward router interface

The model of a router interface with a buffer limited to a fixed number of packets (regardless their lengths) is discussed. The interface is described as a finite FIFO queuing system with a Markovian Arrival Process (MAP) and semi-Markov (SM) service times. The new analytical results for the loss ra...

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Bibliographische Detailangaben
Hauptverfasser:	Rusek, K., Papir, Z., Janowski, L.
Format:	Tagungsbericht
Sprache:	eng
Schlagworte:	Correlation Equations finite-buffer queue hidden Markov model Hidden Markov models Laplace equations Markov processes Markovian arrival process packet loss router interface semi-Markov service time Servers Transient analysis
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Beschreibung
Zusammenfassung:	The model of a router interface with a buffer limited to a fixed number of packets (regardless their lengths) is discussed. The interface is described as a finite FIFO queuing system with a Markovian Arrival Process (MAP) and semi-Markov (SM) service times. The new analytical results for the loss ratio, the local loss intensity or the total number of losses are developed. All results are suitable either for a transient or a stationary analysis and it is possible to extend them beyond the loss process.