2026-06-08T03:08:13Zhttps://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

Optimal control and performance analysis of an M-X/M/1 queue with batches of negative customers Artalejo Rodríguez, Jesús Manuel Economou, Antonis 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. 2023-06-20T09:36:34Z 2023-06-20T09:36:34Z 2023-06-20T09:36:34Z 2004-04 journal article https://hdl.handle.net/20.500.14352/50023 1290-3868 10.1051/ro:2004016 eng BFM2002-02189 ELKE/70/4/6415 open access EDP Sciences