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Optimal control and performance analysis of an M X / M / 1 queue with batches of negative customers

Jesus R. Artalejo;  Antonis Economou — 2004

RAIRO - Operations Research - Recherche Opérationnelle

We consider a Markov decision process for an M X / 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...

Optimal control and performance analysis of an queue with batches of negative customers

Jesus R. Artalejo;  Antonis Economou — 2010

RAIRO - Operations Research

We consider a Markov decision process for an 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...

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