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Matrix-multiplicative solution for the \(\operatorname {PH}/\operatorname{PH}/1/0/s\) queueing system with limited retrial queue - MaRDI portal

Matrix-multiplicative solution for the \(\operatorname {PH}/\operatorname{PH}/1/0/s\) queueing system with limited retrial queue (Q2719396)

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scientific article; zbMATH DE number 1609657
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English
Matrix-multiplicative solution for the \(\operatorname {PH}/\operatorname{PH}/1/0/s\) queueing system with limited retrial queue
scientific article; zbMATH DE number 1609657

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    25 June 2001
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    queueing system
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    limited retrial queue
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    Matrix-multiplicative solution for the \(\operatorname {PH}/\operatorname{PH}/1/0/s\) queueing system with limited retrial queue (English)
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    The authors study the \(\text{PH/PH}/1/0/s\) retrial queue with finite orbit and some of its generalizations. Stationary state distribution in matrix product representation and correlations of the basic performance indices are obtained. The authors also get the expressions for stationary distribution for the embedded Markov chains at times of arrival and service completion.
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