2026-06-29T02:39:17Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/1021192024-03-12T01:04:47Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Artalejo Rodríguez, Jesús Manuel
author
López Herrero, María Jesús
editor
Matsatsinis, Nikolaos F.
2024-03-11T15:28:07Z
2024-03-11T15:28:07Z
2012
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
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
eng
The single server retrial queue with finite population: a BSDE approach
journal article
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067652d6422b011dc8840ad358b49143
576813
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the single server retrial queue with finite population.pdf