Results 11 to 20 of about 47,318 (263)
Transform Methods for Heavy-Traffic Analysis [PDF]
Stochastic Systems, 2020 The drift method was recently developed to study queuing systems in steady state. It was used successfully to obtain bounds on the moments of the scaled queue lengths that are asymptotically tight in heavy traffic and in a wide variety of systems, including generalized switches, input-queued switches, bandwidth-sharing networks, and so on.
Daniela Hurtado-Lange +1 more
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Online Bandwidth packing with symmetric distribution [PDF]
Discrete Mathematics & Theoretical Computer Science, 2007 We consider the following stochastic bin packing process: the items arrive continuously over time to a server and are packed into bins of unit size according to an online algorithm. The unpacked items form a queue.
Marc Lelarge
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Diffusion models for double-ended queues with renewal arrival processes
Stochastic Systems, 2015 We study a double-ended queue where buyers and sellers arrive to conduct trades. When there is a pair of buyer and seller in the system, they immediately transact a trade and leave.
Xin Liu, Qi Gong, Vidyadhar G. Kulkarni
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Stochastic Systems, 2016 We consider a dynamic scheduling problem for parallel server systems. J. M. Harrison has proposed a scheme for using diffusion control problems to approximately solve such control problems for heavily loaded systems.
V. Pesic, R. J. Williams
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Spatiotemporal dynamics of traffic bottlenecks yields an early signal of heavy congestions
Nature Communications, 2023 Heavy traffic jams are difficult to predict due to the complexity of traffic dynamics. Understanding the network dynamics of traffic bottlenecks can help avoid critical large traffic jams and improve overall traffic conditions.
Jinxiao Duan +6 more
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Conjectures on symmetric queues in heavy traffic
Queueing Systems, 2022 This note describes several open questions concerning scaling limits of queue-length processes of symmetric queues in heavy traffic, distinguishing between service-time distributions with finite and infinite variance.
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On Little’s Formula in Multiphase Queues
Mathematics, 2021 The structure of this work in the field of queuing theory consists of two stages. The first stage presents Little’s Law in Multiphase Systems (MSs). To obtain this result, the Strong Law of Large Numbers (SLLN)-type theorems for the most important MS ...
Saulius Minkevičius +3 more
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EVALUATION OF APPLIED ROAD TRAFFIC RESTRAINT (CASE STUDY: TEHRAN-QOM ROAD) [PDF]
پژوهشهای زیرساختهای عمرانی, 2014 Nowadays, with the increasing growth of vehicles and increasing of trips and also financial constraints and roads development, transportation network managers eager to follow transportation demand management.
Seyed Mohammad Hosein Dehnad +2 more
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IEEE Access, 2019 Increasing in urban traffic brings heavy burden on metro transportations, especially for metro hubs which are crossing metro stations with railways.
Jie Lei +4 more
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Journal of the Royal Statistical Society Series B: Statistical Methodology, 1962 SUMMARY We say that a single server queue is in “heavy traffic” when the traffic intensity p is less than, but very near, unity. Then the equilibrium waiting time w will be large, and it is proved that, under certain conditions, the distribution of (1 – p)w tends, as p tends to 1, to a negative exponential distribution.
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