2026-06-08T12:41:10Zhttps://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 519.8 Queueing Markov decision processes negative customers stationary distribution stochastic comparison. Investigación operativa (Matemáticas) 1207 Investigación Operativa 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. University of Athens Depto. de Estadística e Investigación Operativa Fac. de Ciencias Matemáticas TRUE pub 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 application/pdf EDP Sciences