Heavy traffic analysis of a transportation network model
Keyword(s):
We study a model of a stochastic transportation system introduced by Crane. By adapting constructions of multidimensional reflected Brownian motion (RBM) that have since been developed for feedforward queueing networks, we generalize Crane's original functional central limit theorem results to a full vector setting, giving an explicit development for the case in which all terminals in the model experience heavy traffic conditions. We investigate product form conditions for the stationary distribution of our resulting RBM limit, and contrast our results for transportation networks with those for traditional queueing network models.
2017 ◽
Vol 93
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pp. 113-122
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Keyword(s):
2011 ◽
Vol 48
(01)
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pp. 145-153
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2008 ◽
Vol 44
(4)
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pp. 352-369
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2012 ◽
Vol 64
(5)
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pp. 1352-1363
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2016 ◽
Vol 81
(722)
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pp. 959-969
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Keyword(s):
2018 ◽
Vol 22
(4)
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pp. 1529-1538
Keyword(s):