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Analysis of MAP\(_2/G_2/1/r \) queueing system with nonpreemptive priority and state-dependent services - MaRDI portal

Analysis of MAP\(_2/G_2/1/r \) queueing system with nonpreemptive priority and state-dependent services (Q2719403)

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scientific article; zbMATH DE number 1609660
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English
Analysis of MAP\(_2/G_2/1/r \) queueing system with nonpreemptive priority and state-dependent services
scientific article; zbMATH DE number 1609660

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    25 June 2001
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    queueing system
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    nonpreemptive priority
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    Analysis of MAP\(_2/G_2/1/r \) queueing system with nonpreemptive priority and state-dependent services (English)
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    The authors discuss the \(\text{MAP}_2/G_2(\widetilde n,\widetilde m)/1/r/f_1^0 \) queueing system based on the approaches proposed by the authors [Avtom. Telemekh. 1998, No. 10, 64-75 (1998)] and by the first and second authors [Vestn. Ross. Univ. Druzh. Nar., Ser. Mat. 1996, No. 2, 67-84 (1996; Zbl 0960.60080)]. A matrix recurrent algorithm is proposed to calculate the stationary distribution of state probabilities describing the behavior of the system of linear Markov processes.
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