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

Artalejo, Jesús R. and Economou, Antonis (2004) Optimal control and performance analysis of an M-X/M/1 queue with batches of negative customers. RAIRO - Operations Research, 38 (2). pp. 121-151. ISSN 1290-3868

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Abstract

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.

Item Type:Article
Uncontrolled Keywords:Queueing; Markov decision processes; negative customers; stationary distribution; stochastic comparison.
Subjects:Sciences > Mathematics > Operations research
ID Code:15698
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Last Modified:20 Jun 2012 08:42

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