Optimal multi-threshold control by the BMAP/SM/1 retrial system

Optimal multi-threshold control by the BMAP/SM/1 retrial system

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Article ID: iaor20062936
Country: Netherlands
Volume: 141
Issue: 1
Start Page Number: 193
End Page Number: 210
Publication Date: Jan 2006
Journal: Annals of Operations Research
Authors: , , ,
Keywords: markov processes, control processes
Abstract:

A single server retrial system having several operation modes is considered. The modes are distinguished by the transition rate of the batch Markovian arrival process (BMAP), kernel of the semi-Markovian (SM) service process and the intensity of retrials. Stationary state distribution is calculated under the fixed value of the multi-threshold control strategy. Dependence of the cost criterion, which includes holding and operation cost, on the thresholds is derived. Numerical results illustrating the work of the computer procedure for calculation of the optimal values of thresholds are presented.

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