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Stationary Waiting Times in m-Node Tandem Queues With Production Blocking | IEEE Journals & Magazine | IEEE Xplore

Stationary Waiting Times in m-Node Tandem Queues With Production Blocking


Abstract:

We consider a stationary waiting time in a Poisson driven single-server m-node tandem queue with either constant or non-overlapping service times. Each node except for th...Show More

Abstract:

We consider a stationary waiting time in a Poisson driven single-server m-node tandem queue with either constant or non-overlapping service times. Each node except for the first one has a finite buffer, and is operated under production blocking. By using (max,+ )-algebra, we explicitly express the stationary waiting time at each node as a function of finite buffer capacities. We also address that the explicit expression is separable and monotone decreasing with respect to the buffer sizes. These properties are applied to a buffer allocation problem with probabilistic constraints on stationary waiting times.
Published in: IEEE Transactions on Automatic Control ( Volume: 56, Issue: 4, April 2011)
Page(s): 958 - 961
Date of Publication: 10 January 2011

ISSN Information:


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