The single-server exponential queueing system without the buffer and with a fixed number, m, of retrials is considered. The aim of the paper is to analyze this queueing model. An approach based on the concept of recurrent relationship between the steady-state distribution of the underlying Markov process and the number of retrials m, m-1,…,1 is proposed. A recurrent algorithm to calculate the steady-state distribution is constructed. On the basis of this algorithm, the mean queue length of retrial customers and some other important system efficiency measures can be calculated.
On the Single-Server Queueing System with Fixed Number of Retrials
D'APICE, Ciro;SALERNO, Saverio
2001
Abstract
The single-server exponential queueing system without the buffer and with a fixed number, m, of retrials is considered. The aim of the paper is to analyze this queueing model. An approach based on the concept of recurrent relationship between the steady-state distribution of the underlying Markov process and the number of retrials m, m-1,…,1 is proposed. A recurrent algorithm to calculate the steady-state distribution is constructed. On the basis of this algorithm, the mean queue length of retrial customers and some other important system efficiency measures can be calculated.File in questo prodotto:
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