2026-06-08T02:37:36Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/500232024-03-11T15:15:54Zcom_20.500.14352_14col_20.500.14352_15

Artalejo Rodríguez, Jesús Manuel Economou, Antonis 2023-06-20T09:36:34Z 2023-06-20T09:36:34Z 2004-04 1290-3868 10.1051/ro:2004016 https://hdl.handle.net/20.500.14352/50023 http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8225185 http://www.cambridge.org/ We consider a Markov decision process for an MX/M/1 queue that is controlled by batches of negative customers. More specifically, we derive conditions that imply threshold-type optimal policies, under either the total discounted cost criterion or the average cost criterion. The performance analysis of the model when it operates under a given threshold-type policy is also studied. We prove a stability condition and a complete stochastic comparison characterization for models operating under different thresholds. Exact and asymptotic results concerning the computation of the stationary distribution of the model are also derived. eng open access Optimal control and performance analysis of an M-X/M/1 queue with batches of negative customers journal article