A single-server bufferless queue system with independent Poisson input flows and arbitrary service distribution functions is investigated. A customer of any type denied service joins the queue afresh, retaining his type. Three modifications, viz., (1) a system with persistent customers, (2) a system with nonpersistent customers, (3) a system with server vacations, are studied. For each modification, recurrent formulas for the stationary distribution of the multidimensional retrial queue and expressions for the generating functions are derived.
A Single-server retrial queue system with multidimentional Poisson flow
D'APICE, Ciro;
2000-01-01
Abstract
A single-server bufferless queue system with independent Poisson input flows and arbitrary service distribution functions is investigated. A customer of any type denied service joins the queue afresh, retaining his type. Three modifications, viz., (1) a system with persistent customers, (2) a system with nonpersistent customers, (3) a system with server vacations, are studied. For each modification, recurrent formulas for the stationary distribution of the multidimensional retrial queue and expressions for the generating functions are derived.File in questo prodotto:
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