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We consider a multi-hop switched network operating under a Max-Weight (MW) scheduling policy, and show that the distance between the queue length process and a fluid solution remains bounded by a constant multiple of the deviation of the…

Networking and Internet Architecture · Computer Science 2019-06-13 Arsalan Sharifnassab , John N. Tsitsiklis , S. Jamaloddin Golestani

We consider a switched (queuing) network in which there are constraints on which queues may be served simultaneously; such networks have been used to effectively model input-queued switches and wireless networks. The scheduling policy for…

Probability · Mathematics 2014-09-04 D. Shah , N. S. Walton , Y. Zhong

We consider a connection-level model of Internet congestion control, introduced by Massouli\'{e} and Roberts [Telecommunication Systems 15 (2000) 185--201], that represents the randomly varying number of flows present in a network. Here,…

Probability · Mathematics 2012-02-27 W. N. Kang , F. P. Kelly , N. H. Lee , R. J. Williams

We consider a switched network, a fairly general constrained queueing network model that has been used successfully to model the detailed packet-level dynamics in communication networks, such as input-queued switches and wireless networks.…

Networking and Internet Architecture · Computer Science 2010-04-01 Devavrat Shah , John N. Tsitsiklis , Yuan Zhong

There has recently been considerable interest in design of low-complexity, myopic, distributed and stable scheduling policies for constrained queueing network models that arise in the context of emerging communication networks. Here, we…

Information Theory · Computer Science 2010-04-06 Devavrat Shah , Jinwoo Shin

Switched queueing networks model wireless networks, input queued switches and numerous other networked communications systems. For single-hop networks, we consider a {($\alpha,g$)-switch policy} which combines the MaxWeight policies with…

Systems and Control · Computer Science 2014-04-11 Neil Walton

Consider a switched queueing network with general routing among its queues. The MaxWeight policy assigns available service by maximizing the objective function $\sum_j Q_j \sigma_j$ among the different feasible service options, where $Q_j$…

Probability · Mathematics 2021-01-25 Maury Bramson , Bernardo D'Auria , Neil Walton

We study the scheduling polices for asymptotically optimal delay in queueing systems with switching overhead. Such systems consist of a single server that serves multiple queues, and some capacity is lost whenever the server switches to…

Performance · Computer Science 2017-01-17 Ping-Chun Hsieh , I-Hong Hou , Xi Liu

We consider a class of stochastic processing networks. Assume that the networks satisfy a complete resource pooling condition. We prove that each maximum pressure policy asymptotically minimizes the workload process in a stochastic…

Probability · Mathematics 2009-01-19 J. G. Dai , Wuqin Lin

Most of the early input-queued switch research focused on establishing throughput optimality of the max-weight scheduling policy, with some recent research showing that max-weight scheduling is optimal with respect to total expected delay…

Optimization and Control · Mathematics 2020-10-13 Yingdong Lu , Mark S. Squillante , Tonghoon Suk

We consider a multihop wireless system. There are multiple source-destination pairs. The data from a source may have to pass through multiple nodes. We obtain a channel scheduling policy which can guarantee end-to-end mean delay for the…

Networking and Internet Architecture · Computer Science 2018-11-27 Ashok Krishnan K. S. , Vinod Sharma

We consider a single-hop switched queueing network. Amongst a plethora of applications, these networks have been used to model wireless networks and input queued switches. The MaxWeight scheduling policies have proved popular, chiefly,…

Optimization and Control · Mathematics 2013-01-17 N. S. Walton

We consider a switch operating under the MaxWeight scheduling algorithm, under any traffic pattern such that all the ports are loaded. This system is interesting to study since the queue lengths exhibit a multi-dimensional state-space…

Probability · Mathematics 2015-06-11 Siva Theja Maguluri , R. Srikant

Motivated by a web-server model, we present a queueing network consisting of two layers. The first layer incorporates the arrival of customers at a network of two single-server nodes. We assume that the inter-arrival and the service times…

Probability · Mathematics 2017-01-13 Angelos Aveklouris , Maria Vlasiou , Jiheng Zhang , Bert Zwart

In this paper, we consider queueing systems where the dynamics are non-stationary and state-dependent. For performance analysis of these systems, fluid and diffusion models have been typically used. Although they are proven to be…

Probability · Mathematics 2016-09-08 Young Myoung Ko , Natarajan Gautam

We consider a stochastic model of Internet congestion control, introduced by Massouli\'{e} and Roberts [Telecommunication Systems 15 (2000) 185--201], that represents the randomly varying number of flows in a network where bandwidth is…

Probability · Mathematics 2009-03-03 H. Christian Gromoll , Ruth J. Williams

The model is a "generalized switch", serving multiple traffic flows in discrete time. The switch uses MaxWeight algorithm to make a service decision (scheduling choice) at each time step, which determines the probability distribution of the…

Probability · Mathematics 2015-02-13 Rahul Singh , Alexander Stolyar

In asymptotic regimes, both in time and space (network size), the derivation of network capacity results is grossly simplified by brushing aside queueing behavior in non-Jackson networks. This simplifying double-limit model, however, lends…

Performance · Computer Science 2013-08-02 Florin Ciucu , Ramin Khalili , Yuming Jiang , Liu Yang , Yong Cui

Throughput-optimal transmission scheduling in wireless networks has been a well considered problem in the literature, and the method for achieving optimality, MaxWeight scheduling, has been known for several decades. This algorithm achieves…

Networking and Internet Architecture · Computer Science 2020-08-05 Thomas Stahlbuhk , Brooke Shrader , Eytan Modiano

We analyze the problem of scheduling in wireless networks to meet end-to-end service guarantees, defined by instantaneous throughput and hard packet deadlines. Using a network slicing model to decouple the queueing dynamics between flows,…

Networking and Internet Architecture · Computer Science 2026-04-21 Nicholas Jones , Eytan Modiano
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