Artalejo Rodríguez, Jesús ManuelEconomou, Antonis2023-06-202023-06-202004-041290-386810.1051/ro:2004016https://hdl.handle.net/20.500.14352/50023We 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.engjournal articlehttp://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8225185http://www.cambridge.org/open access519.8QueueingMarkov decision processesnegative customersstationary distributionstochastic comparison.Investigación operativa (Matemáticas)1207 Investigación Operativa