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The matched queueing network PH/M/c→oPH/PH/1

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Abstract

We consider a matched queueing network PH/M/c→oPH/PH/1, where the output of the first subsystem PH/M/c is regarded as one of the inputs of the second subsystem and matched with another input of PH-renewal process, and they are served by a single server with PH-service-distribution. The stationary state probabilities, the distribution of the virtual waiting times in the two subsystems, and the distribution of the total virtual waiting time are derived.

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The work was supported by the Max-Planck-Gesellschaft, Germany, and the Chinese Academy ofSciences.

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Hsu, G.H., Jensen, U. The matched queueing network PH/M/c→oPH/PH/1. Queueing Syst 13, 315–333 (1993). https://doi.org/10.1007/BF01149259

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  • DOI: https://doi.org/10.1007/BF01149259

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