Note on throughput in a queueing network with changing-speedservers and blocking
Yamazaki, G.; Sakasegawa, H.
Systems, Man, and Cybernetics, 1996., IEEE International Conference on
Volume 4, Issue , 14-17 Oct 1996 Page(s):3063 - 3067 vol.4
Digital Object Identifier 10.1109/ICSMC.1996.561473
Summary:We consider a queueing network under very general settings. The
network is related to tandem queues with blocking rather than queueing
networks with product-form queue length distributions or insensitivity.
Our queueing network in which each station has only finite buffer
capacity and in which the processing (service) capacity as a whole
depends on the total busy servers is of interest to practitioners
working on the design or control of manufacturing systems and related
systems. We focus on the throughput of the network. The main purpose of
this paper is not to analyze the throughput but to present its
properties which give a good insight into the problem. We derive two
expressions of the throughput in terms of the corresponding regular
queueing network. Based on the first expression, we show that a
two-station tandem queue with changing-speed servers is reversible with
respect to the throughput. A sensitivity analysis is given as an
application of the second expression
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