Multiple-input heavy-traffic real-time queues
نویسندگان
چکیده
منابع مشابه
SOME GENERALIZATIONS OF WEAK CONVERGENCE RESULTS ON MULTIPLE CHANNEL QUEUES IN HEAVY TRAFFIC.
This paper extends certain results of Iglehart and Whitt on multiple channel queues to the case where the inter-arrival times and service times are not necessarily identically distributed. It is shown that the weak convergence results in this case are exactly the same as those obtained by Iglehart and Whitt
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We consider the maximum waiting time among the first n customers in the GI/G/1 queue. We use strong approximations to prove, under regularity conditions, convergence of the normalized maximum wait to the Gumbel extreme-value distribution when the traffic intensity p approaches 1 from below and n approaches infinity at a suitable rate. The normalization depends on the interarrival-time and servi...
متن کاملsome generalizations of weak convergence results on multiple channel queues in heavy traffic.
this paper extends certain results of iglehart and whitt on multiple channel queues to the case where the inter-arrival times and service times are not necessarily identically distributed. it is shown that the weak convergence results in this case are exactly the same as those obtained by iglehart and whitt
متن کاملGaussian queues in light and heavy traffic
In this paper we investigate Gaussian queues in the light-traffic and in the heavy-traffic regime. Let Q X ≡ {Q X (t) : t ≥ 0} denote a stationary buffer content process for a fluid queue fed by the centered Gaussian process X ≡ {X(t) : t ∈ R} with stationary increments, X(0) = 0, continuous sample paths and variance function σ 2(·). The system is drained at a constant rate c > 0, so that for a...
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We establish a heavy-traffic limit theorem on convergence in distribution for the number of customers in a many-server queue.
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ژورنال
عنوان ژورنال: The Annals of Applied Probability
سال: 2003
ISSN: 1050-5164
DOI: 10.1214/aoap/1042765663