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00925njm 22002777a 4500 dc Artalejo Rodríguez, Jesús Manuel author López Herrero, María Jesús author 2012 This paper uses the block-structured state-dependent event (BSDE) approach to generalize the scalar version of the single server retrial queue with finite population. The simple scalar version only involves exponential random variables, which make the underlying Markov chain tractable. However, this is a drawback in applications where the exponentiality is not a realistic assumption and the flows are correlated. The BSDE approach provides a versatile tool to deal with a non-exponential model with correlated flows, but keeping tractable the dimensionality of the block-structured Markov chain. We focus on the investigation of the limiting distribution of the system state and the waiting time. The theory is illustrated by numerical experiments, which demonstrate that the proposed BSDE approach can be applied efficiently Artalejo y Lopez-Herrero (2012) «The single server retrial queue with finite population: A BSDE approach», Operational Research, 12(2), pp. 109-131. doi:10.1007/S12351-011-0104-8. 1866-1505 10.1007/S12351-011-0104-8 https://hdl.handle.net/20.500.14352/102119 1109-2858 https://doi.org/10.1007/S12351-011-0104-8 https://link.springer.com/article/10.1007/s12351-011-0104-8 The single server retrial queue with finite population: a BSDE approach