The two-queue E/1-L polling model with regularly varying service and/or switchover times The two-queue E/1-L polling model with regularly varying service and/or switchover times [PDF]
, 2020 Please check the document version of this publication: • A submitted manuscript is the version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of ...
Q Deng
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Diffusion limit of a modified Erlang-B system with sensing time of secondary users. [PDF]
Ann Oper Res, 2022 Abe K, Phung-Duc T.
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Heavy traffic limits for some queueing networks [PDF]
, 2001 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 (
Maury Bramson, J. G. Dai
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A Single Vacation Model G/M/1/K with N Threshold Policy [PDF]
, 2008 This paper studies a G/M/1/K queueing system, where the server applies an N policy and takes a single vacation when the system is empty. We provide a recursive method, using the supplementary variable technique and treating the supplementary variable as ...
Kuo-hsiung Wang +2 more
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Rate of Convergence of the Fluid Approximation for Generalized Jackson Networks [PDF]
, 1996 It is known that a generalized open Jackson queueing network after appropriate scaling (in both time and space) converges almost surely to a fluid network under the uniform topology.
Hong Chen
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Heavy traffic limits for queues with non-stationary path-dependent arrival processes. [PDF]
Queueing Syst, 2022 Fendick K, Whitt W.
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On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models [PDF]
, 1995 It is now known that the usual traffic condition (the nominal load being less than one at each station) is not sufficient for stability for a multiclass open queueing network. Although there has been some progress in establishing the stability conditions
J. G. Dai
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Large deviations, moderate deviations, and queues with long-range dependent input [PDF]
, 2012 [[abstract]]Long-range dependence has been recently asserted to be an important characteristic in modeling telecommunications traffic. Inspired by the integral relationship between the fractional Brownian motion and the standard Brownian motion, we model
Chang, Cheng-Shang;Yao, David D.;Zajic, Tim
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An M/PH/1 queue with workload-dependent processing speed and vacations. [PDF]
Queueing Syst, 2021 Sakuma Y, Boxma O, Phung-Duc T.
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Heavy-Traffic Analysis of the M/G/1 Queue With Priority Classes [PDF]
AMS classifications: 60K25, 90B22.M=G=1 queue;priority;heavy-tailed service time distribution;regular variation;waiting time distribution;heavy-traffic limit theorem;heavy-traffic ...
Deng, Q., Cohen, J.W., Boxma, O.J.
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