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Queue Length.
, 1999
"... AMS subject classifications: 60K25. Contrary to what is asserted in Frey and Takahashi [1], these authors were not the first to consider the departure epochs imbedded Markov chain for vacation models with finite capacity. In our paper [2], which deals with a general vacation policy, we express the s ..."
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the stationary queue length distribution immediately after a departure in terms of the corresponding distribution in the model without vacations. In [2], we also express the stationary queue length distribution at an arbitrary epoch in terms of the corresponding distribution in the model with vacations. From
Stability, queue length and delay of deterministic and stochastic queueing networks
 IEEE Transactions on Automatic Control
, 1994
"... Motivated by recent development in high speed networks, in this paper we study two types of stability problems: (i) conditions for queueing networks that render bounded queue lengths and bounded delay for customers, and (ii) conditions for queueing networks in which the queue length distribution of ..."
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Cited by 231 (21 self)
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Motivated by recent development in high speed networks, in this paper we study two types of stability problems: (i) conditions for queueing networks that render bounded queue lengths and bounded delay for customers, and (ii) conditions for queueing networks in which the queue length distribution
BAYES ESTIMATION OF A QUEUE LENGTH
"... Abstract: The paper deals with an application of Bayes for estimation of the queue length in junction arm. In Bayesian view the concept of probability is not interpreted in terms of limits of relative frequencies but more generally as a subjective measure of belief of a rationally and consistently r ..."
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Abstract: The paper deals with an application of Bayes for estimation of the queue length in junction arm. In Bayesian view the concept of probability is not interpreted in terms of limits of relative frequencies but more generally as a subjective measure of belief of a rationally and consistently
On the maximum queue length in the supermarket model
, 2004
"... There are n queues, each with a single server. Customers arrive in a Poisson process at rate λn, where0<λ<1. Upon arrival each customer selects d ≥ 2 servers uniformly at random, and joins the queue at a leastloaded server among those chosen. Service times are independent exponentially distrib ..."
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Cited by 17 (4 self)
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distributed random variables with mean 1. We show that the system is rapidly mixing, and then investigate the maximum length of a queue in the equilibrium distribution. We prove that with probability tending to 1 as n →∞the maximum queue length takes at most two values, which are ln ln n / ln d + O(1). 1
Analytical Results on the Stochastic Behaviour of an Averaged Queue Length
"... The joint dynamics of the instantaneous and exponentially averaged queue length in an M/M/1/K queue is studied. A system of ordinary di#erential equations is derived for the joint stationary distribution of the instantaneous and the exponentially averaged queue length. The equations are similar t ..."
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The joint dynamics of the instantaneous and exponentially averaged queue length in an M/M/1/K queue is studied. A system of ordinary di#erential equations is derived for the joint stationary distribution of the instantaneous and the exponentially averaged queue length. The equations are similar
Estimating queue length distributions for queues with random arrivals
 SIGMETRICS Perform. Eval. Rev
, 2012
"... ABSTRACT This work develops an accurate and efficient twomoment approximation for the queue length distribution in the M/G/1 queue. Queue length distributions can provide insight into the impact of system design changes that go beyond simple averages, but conventional queueing theory lacks efficie ..."
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Cited by 2 (0 self)
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ABSTRACT This work develops an accurate and efficient twomoment approximation for the queue length distribution in the M/G/1 queue. Queue length distributions can provide insight into the impact of system design changes that go beyond simple averages, but conventional queueing theory lacks
Queue Lengths and Departures at SingleServer Resources
, 1996
"... In this paper I will review and illustrate some large deviation results for queues with interacting traffic, both for shared buffer and shared capacity models. These results are examples of a general scheme which can be applied to an endless variety of network problems where the goal is to establish ..."
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Cited by 11 (1 self)
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is to establish probability approximations for aspects of a system (such as queue lengths) under very general ergodicity and mixing assumptions about the network inputs. 1 To appear in the Proceedings of the Royal Statistical Society Research Workshop on Stochastic Networks, Edinburgh, 1995. 1 Introduction
Fair Resource Allocation in Wireless Networks using Queuelengthbased Scheduling and Congestion Control
"... We consider the problem of allocating resources (time slots, frequency, power, etc.) at a base station to many competing flows, where each flow is intended for a different receiver. The channel conditions may be timevarying and different for different receivers. It is wellknown that appropriate ..."
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Cited by 202 (45 self)
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known that appropriately chosen queuelength based policies are throughputoptimal while other policies based on the estimation of channel statistics can be used to allocate resources fairly (such as proportional fairness) among competing users. In this paper, we show that a combination of queuelengthbased scheduling
ON SOME QUEUE LENGTH CONTROLLED STOCHASTIC PROCESSES
"... The authors study the input, output and queueing processes}n a general controlled sngleserver bulk queueng system. It s supposed that nterarr}val time, service time, batch sze of arr}vng units and the capacity of the server depend on the queue length. The authors establ}sh an ergod}c}ty criteri ..."
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Cited by 2 (2 self)
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The authors study the input, output and queueing processes}n a general controlled sngleserver bulk queueng system. It s supposed that nterarr}val time, service time, batch sze of arr}vng units and the capacity of the server depend on the queue length. The authors establ}sh an ergod
Results 1  10
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