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On the Convergence of Multiclass Queueing Networks in Heavy Traffic

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dc.creator Dai, I. G.
dc.creator Nguyen, Viên
dc.date 2004-06-01T16:43:14Z
dc.date 2004-06-01T16:43:14Z
dc.date 1992-10
dc.date.accessioned 2013-10-09T02:39:42Z
dc.date.available 2013-10-09T02:39:42Z
dc.date.issued 2013-10-09
dc.identifier http://hdl.handle.net/1721.1/5410
dc.identifier.uri http://koha.mediu.edu.my:8181/xmlui/handle/1721
dc.description The subject of this paper is the heavy traffic behavior of a general class of queueing networks with first-in-first-out (FIFO) service discipline. For special cases which require various assumptions on the network structure, several authors have proved heavy traffic limit theorems to justify the approximation of queueing networks by reflected Brownian motions (RBM's). Based on these theorems, some have conjectured that the Brownian approximation may in fact be valid for a more general class of queueing networks. In this paper, we prove that the Brownian approximation does not hold for such a general class of networks. Our findings suggest that studying Brownian models of non-FIFO queueing networks may perhaps be more fruitful.
dc.format 1077456 bytes
dc.format application/pdf
dc.language en_US
dc.publisher Massachusetts Institute of Technology, Operations Research Center
dc.relation Operations Research Center Working Paper;OR 270-92
dc.title On the Convergence of Multiclass Queueing Networks in Heavy Traffic
dc.type Working Paper


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