Optimal multi-threshold control by the BMAP/SM/1 retrial system |
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| Authors: | Che Soong Kim Valentina Klimenok Alexander Birukov Alexander Dudin |
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| Institution: | (1) Department of Industrial Engineering, Sangji University, Wonju, Kangwon, 220-702, Korea;(2) Department of Applied Mathematics and Computer Science, Belarusian State University, 4 F.Skorina Ave, Minsk, Belarus, 220050 |
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| 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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| Keywords: | Batch Markovian arrival process Controlled operation modes Cost criterion Optimal control |
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