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Extended generator and associated martingales for M/G/1 retrial queue with classical retrial policy and general retrial times
Published online by Cambridge University Press: 11 January 2022
Abstract
A retrial queue with classical retrial policy, where each blocked customer in the orbit retries for service, and general retrial times is modeled by a piecewise deterministic Markov process (PDMP). From the extended generator of the PDMP of the retrial queue, we derive the associated martingales. These results are used to derive the conditional expected number of customers in the orbit in the transient regime.
- Type
- Research Article
- Information
- Probability in the Engineering and Informational Sciences , Volume 37 , Issue 1 , January 2023 , pp. 206 - 213
- Copyright
- Copyright © The Author(s), 2022. Published by Cambridge University Press
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