M/G/1/r retrial queueing systems with priority of primary customers

M/G/1/r retrial queueing systems with priority of primary customers

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Article ID: iaor20013016
Country: Netherlands
Volume: 30
Issue: 3/4
Start Page Number: 89
End Page Number: 98
Publication Date: Mar 1999
Journal: Mathematical and Computer Modelling
Authors: , ,
Keywords: M/G/1 queues, retrial systems
Abstract:

We analyze a single-server retrial queueing system with finite buffer, Poisson arrivals, and general distribution of service time. If an arriving customer finds the queue completely occupied he joins a retrial group (or orbit) in order to seek service again after an exponentially distributed amount of time. We obtain a stationary distribution of the primary queue size, a recurrent algorithm for the factorial moments of the number of retrial customers and an expression for the expected number of customers in the system.

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