A two‐phase GI/PH/1 → ·/PH/1/0 system with losses

A two‐phase GI/PH/1 → ·/PH/1/0 system with losses

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Article ID: iaor20116054
Volume: 72
Issue: 5
Start Page Number: 1004
End Page Number: 1016
Publication Date: May 2011
Journal: Automation and Remote Control
Authors: ,
Keywords: statistics: distributions, simulation: applications
Abstract:

We find a stationary distribution and productivity characteristics for a two‐phase queueing system with recurrent input flow. The servicing units are single‐line on both phases. The servicing times have phase‐type distributions. On the first phase, there is an infinite buffer. There is no intermediate buffer. In case the second phase device is busy at the time a claim has finished going through the first phase, this claim leaves the system unserved (is lost).

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