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Probabilistic interpretations of some duality results for the matrix paradigms in queueing theory

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References

1987Applied Probability and Queues2,704 cited
1980The N/G/1 queue and its detailed analysis286 cited
1978Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector154 cited
1990A duality theorem for the matrix paradigms in queueing theory90 cited

Cited by

1990From the matrix-geometric to the matrix-exponential44 cited
1998Invariant measures for quasi-birth-and-death processes31 cited
2002A CONSTRUCTIVE METHOD FOR FINDING β-INVARIANT MEASURES FOR TRANSITION MATRICES OF M/G/1 TYPE27 cited
1993On the duality between routing and scheduling systems with finite buffer space26 cited
1997The PH/PH/1 queue at epochs of queue size change22 cited
2013Stability for Fluid Queues: Characteristic Inequalities17 cited
1998Representations for matrix-geometric and matrix-exponential steady-state distributions with applications to many-server queues16 cited

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