%0 Journal Article
%A Artalejo Rodríguez, Jesús Manuel
%A Economou, Antonis
%T Optimal control and performance analysis of an M-X/M/1 queue with batches of negative customers
%D 2004
%@ 1290-3868
%U https://hdl.handle.net/20.500.14352/50023
%X 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.
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