A single-server retrial queueing system with finite buffer, Poisson arrivals and arbitrary distribution of service time is considered. If a customer from outside finds the buffer completely occupied he joins a finite retrial queue (or orbit) in order to seek service again after an exponentially distributed interval of time. In case an arriving customer finds the buffer and the retrial queue completely full he is lost. The stationary distribution of underlying Markov process is derived.

The M/G/1/r Queueing System with Finite Buffer and Retrials

D'APICE, Ciro;
2001-01-01

Abstract

A single-server retrial queueing system with finite buffer, Poisson arrivals and arbitrary distribution of service time is considered. If a customer from outside finds the buffer completely occupied he joins a finite retrial queue (or orbit) in order to seek service again after an exponentially distributed interval of time. In case an arriving customer finds the buffer and the retrial queue completely full he is lost. The stationary distribution of underlying Markov process is derived.
2001
9780000000002
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/1212099
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