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Scheduling Networks of Queues: Heavy Traffic Analysis of a Multistation Closed Network

Author(s)
Chevalier, Philippe B.; Wein, Lawrence M.
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Abstract
We consider the problem of finding an optimal dynamic priority sequencing policy to maximize the mean throughput rate in a multistation, multiclass closed queueing network with general service time distributions and a general routing structure. Under balanced heavy loading conditions, this scheduling problem can be approximated by a control problem involving Brownian motion. Although a unique, closed form solution to the Brownian control problem is not derived, an analysis of the problem leads to an effective static sequencing policy, and to an approximate means of comparing the relative performance of arbitrary static policies. Three examples are given that illustrate the effectiveness of our procedure.
Date issued
1990-07
URI
http://hdl.handle.net/1721.1/5319
Publisher
Massachusetts Institute of Technology, Operations Research Center
Series/Report no.
Operations Research Center Working Paper;OR 219-90

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