RT Journal Article
T1 Optimal control and performance analysis of an M-X/M/1 queue with batches of negative customers
A1 Artalejo Rodríguez, Jesús Manuel
A1 Economou, Antonis
AB 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.
PB EDP Sciences
SN 1290-3868
YR 2004
FD 2004-04
LK https://hdl.handle.net/20.500.14352/50023
UL https://hdl.handle.net/20.500.14352/50023
LA eng
NO University of Athens
DS Docta Complutense
RD 9 jun 2025