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Multiclass queueing systems in heavy traffic: an asymptotic approach based on distributional and conservation laws

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dc.creator Bertsimas, Dimitris J.
dc.creator Mourtzinou, Georgia
dc.date 2004-05-28T19:32:57Z
dc.date 2004-05-28T19:32:57Z
dc.date 1993-10
dc.date.accessioned 2013-10-09T02:38:59Z
dc.date.available 2013-10-09T02:38:59Z
dc.date.issued 2013-10-09
dc.identifier http://hdl.handle.net/1721.1/5309
dc.identifier.uri http://koha.mediu.edu.my:8181/xmlui/handle/1721
dc.description We propose a new approach to analyze multiclass queueing systems in heavy traffic based on what we consider as fundamental laws in queueing systems, namely distributional and conservation laws. Methodologically, we extend the distributional laws from single class queueing systems to multiple classes and combine them with conservation laws to find the heavy traffic behavior of the following systems: a)EGI/G/1 queue under FIFO, b) EGI/G/1 queue with priorities, c) Polling systems with general arrival distributions. Compared with traditional heavy traffic analysis via Brownian processes, our approach gives more insight to the asymptotics used, solves systems that traditional heavy traffic theory has not fully addressed, and more importantly leads to closed form answers, which compared to simulation are very accurate even for moderate traffic.
dc.format 2000458 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 281-93
dc.title Multiclass queueing systems in heavy traffic: an asymptotic approach based on distributional and conservation laws
dc.type Working Paper


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