Treelike queueing networks: asymptotic stationarity and heavy traffic
نویسندگان
چکیده
منابع مشابه
Heavy Traffic Limits for Some Queueing Networks
Using a slight modification of the framework in Bramson [7] and Williams [52], we prove heavy traffic limit theorems for six families of multiclass queueing networks. The first three families are single station systems operating under first-in first-out (FIFO), generalized headof-the-line proportional processor sharing (GHLPPS) and static buffer priority (SBP) service disciplines. The next two ...
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1 Introduction Queueing networks constitute a large family of models in a variety of settings, involving " jobs " or " customers " that wait in queues until being served. Once its service is completed, a job moves to the next prescribed queue, where it remains until being served. This procedure continues until the job leaves the network; jobs also enter the network according to some assigned ru...
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This note describes a simulation experiment involving nine exponential queues in series with a non-Poisson arrival process, which demonstrates that the heavy-traffic bottleneck phenomenon can occur in practice (at reasonable traffic intensities) as well as in theory (in the limit). The results reveal limitations in customary two-moment approximations for open queueing networks. queues * open qu...
متن کاملThe Heavy-traffic Bottleneck Phenomenon in Open Queueing Networks
This note describes a simulation experiment involving nine exponential queues in series with a non-Poisson arrival process, which demonstrates that the heavy-traffic bottleneck phenomenon can occur in practice (at reasonable traffic intensities) as well as in theory (in the limit). The results reveal limitations in customary two-moment approximations for open queueing networks.
متن کاملMulticlass Queueing Systems in Heavy Traffic: An Asymptotic Approach Based on Distributional and Conservation Laws
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 syst...
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ژورنال
عنوان ژورنال: The Annals of Applied Probability
سال: 1998
ISSN: 1050-5164
DOI: 10.1214/aoap/1028903538