A closed-form solution for a two-server heterogeneous retrial queue with threshold policy
TIEN VAN DO DENES PAPP RAM CHAKKA JINTING WANG JANOS SZTRIK
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In this paper, we reconsider a two-server heterogeneous retrial queue with threshold policy. However, the computation time with the existing method is prohibitively large for certain values of the threshold parameter. Applying the spectral expansion method, we derive a closed-form expression for the eigenvalues and eigenvectors matrix that are needed to determine the steady-state distribution of a quasi-birth-death process describing the queue. As a result, the computation time for the performance measures does not depend on the threshold parameter.
TIEN VAN DO1 2 DENES PAPP2 RAM CHAKKA3 JINTING WANG4 JANOS SZTRIK5
Volume 48, 2023
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