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Heavy Traffic Limit Theorems for Two Tandem Polling Stations
"... We consider two tandem singleserver stations in heavy traffic. There are two job types and they visit both stations in order. The first station processes jobs in an exhaustive service or gated service fashion and the second station uses an arbitrary nonidling service discipline. The stations have z ..."
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zero switchover times. We prove heavy traffic limit theorems for the twodimensional total workload processes, one under exhaustive service and one under gated service. The limiting processes are twodimensional reflected Brownian motions (RBM) and the limit under exhaustive service is equal
Heavytraffic limit theorems for the heavytailed GI/G/1 queue
, 1997
"... The classic GI=G=1 queueing model of which the tail of the service time and/or the interarrival time distribution behaves as t \Gammav S(t) for t !1, 1 ! v ! 2 and S(t) a slowly varying function at infinity, is investigated for the case that the traffic load a approaches one. Heavytraffic limit t ..."
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Cited by 1 (1 self)
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The classic GI=G=1 queueing model of which the tail of the service time and/or the interarrival time distribution behaves as t \Gammav S(t) for t !1, 1 ! v ! 2 and S(t) a slowly varying function at infinity, is investigated for the case that the traffic load a approaches one. Heavytraffic limit
A Heavy Traffic Limit Theorem For Workload Processes With Heavy Tailed Service Requirements
 Management Science
, 1998
"... . A system with heavy tailed service requirements under heavy load having a single server, has an equilibrium waiting time distribution which is approximated by the MittagLeffler distribution. This fact is understood by a direct analysis of the weak convergence of a sequence of negative drift rand ..."
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Cited by 7 (2 self)
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random walks with heavy right tail and the associated all time maxima of these random walks. This approach complements the recent transform view of Boxma and Cohen [4]. 1. Introduction. Heavy traffic limit theorems were devised to study the behavior of complex networks. For economic reasons
Heavy Traffic Limit Theorems For The Closed LuKumar Network
, 2000
"... This paper contains more general results than are used here and applies to all twoserver balanced networks with certain types of nonidling service disciplines. It proves that the policy proposed by Harrison and Wein [14] is asymptotically optimal. Let U ..."
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This paper contains more general results than are used here and applies to all twoserver balanced networks with certain types of nonidling service disciplines. It proves that the policy proposed by Harrison and Wein [14] is asymptotically optimal. Let U
A Note on a Heavy Traffic Limit Theorem for the M/D/1—FBPS Queue
, 2004
"... In this short article we give a simple proof of the heavy traffic limit theorem for the sojourn time distribution, suitably scaled, in the M/D/1 queueing system under the foreground–background processor sharing (FBPS) discipline. The FBPS discipline gives the preemptive–resume priority in service t ..."
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In this short article we give a simple proof of the heavy traffic limit theorem for the sojourn time distribution, suitably scaled, in the M/D/1 queueing system under the foreground–background processor sharing (FBPS) discipline. The FBPS discipline gives the preemptive–resume priority in service
A Heavy Traffic Limit Theorem for a Class of Open Queueing Networks with Finite Buffers
, 1997
"... We consider a queueing network of d single server stations. Each station has a finite capacity waiting buffer, and all customers served at a station are homogeneous in terms of service requirements and routing. The routing is assumed to be deterministic and hence feedforward. A server stops working ..."
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Cited by 17 (4 self)
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to be used as an important ingredient in establishing heavy traffic limit theorems for general finite buffer networks. Key words and phrases: Finite capacity network, blocking probabilities, loss network, semimartingale reflecting Brownian motion, RBM, heavy traffic, limit theorems, oscillation estimates.
networks with finite buffers
, 1998
"... heavy traffic limit theorem for a class of open queueing ..."
Analysis, Modeling and Generation of SelfSimilar VBR Video Traffic
, 1994
"... We present a detailed statistical analysis of a 2hour long empirical sample of VBR video. The sample was obtained by applying a simple intraframe video compression code to an action movie. The main findings of our analysis are (1) the tail behavior of the marginal bandwidth distribution can be accu ..."
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Cited by 546 (6 self)
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for VBR video and present an algorithm for generating synthetic traffic. Tracedriven simulations show that statistical multiplexing results in significant bandwidth efficiency even when longrange dependence is present. Simulations of our source model show longrange dependence and heavytailed marginals
and
, 2008
"... We establish a heavytraffic limit theorem on convergence in distribution for the number of customers in a manyserver queue. 1 ..."
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We establish a heavytraffic limit theorem on convergence in distribution for the number of customers in a manyserver queue. 1
On kinetic waves: II) A theory of traffic Flow on long crowded roads
 Proc. Royal Society A229
, 1955
"... This paper uses the method of kinematic waves, developed in part I, but may be read independently. A functional relationship between flow and concentration for traffic on crowded arterial roads has been postulated for some time, and has experimental backing (? 2). From this a theory of the propagati ..."
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Cited by 489 (1 self)
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This paper uses the method of kinematic waves, developed in part I, but may be read independently. A functional relationship between flow and concentration for traffic on crowded arterial roads has been postulated for some time, and has experimental backing (? 2). From this a theory
Results 1  10
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