A single-server queueing system in which the server is required to search for customers in a finite buffer is considered. The interarrivals times, service times and search times are i.i.d. random variables with probability distribution functions of phasetype. For the stationary distribution of the underlying Markov process a matrixgeometric solution is obtained.

PH/PH/1/r queueing model with the server requiring a search for customers

D'APICE, Ciro
2000-01-01

Abstract

A single-server queueing system in which the server is required to search for customers in a finite buffer is considered. The interarrivals times, service times and search times are i.i.d. random variables with probability distribution functions of phasetype. For the stationary distribution of the underlying Markov process a matrixgeometric solution is obtained.
2000
9781565551909
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/1212111
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