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Fluid and Diffusion Approximations of a Two-Station Mixed Queueing Network

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dc.creator Nguyen, Viên
dc.date 2004-06-01T16:43:16Z
dc.date 2004-06-01T16:43:16Z
dc.date 1993-01
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/1721.1/5411
dc.identifier.uri http://koha.mediu.edu.my:8181/xmlui/handle/1721
dc.description The subject of this paper is a two-station mixed queueing network with two customer types: "Open" customers enter the network at station 1 and depart the system after receiving service. Meanwhile, a fixed number of "closed" customers circulate between stations 1 and 2 indefinitely. Such a mixed queueing network model can represent a single-stage production system that services both make-to-order and make-to-stock customers. We present fluid and diffusion limits for this network under the first-in-first-out service discipline. We find that the heavy traffic limit of the workload process at station 1 is a reflected Brownian motion (RBM) on a finite interval.This result is surprising in light of the behavior of the original mixed network model, in which the workload at station 1 need not be bounded.
dc.format 2177063 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 276-93
dc.title Fluid and Diffusion Approximations of a Two-Station Mixed Queueing Network
dc.type Working Paper


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