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We re-visit the global - relative to control policies - stability of multiclass queueing networks. In these, as is known, it is generally insufficient that the nominal utilization at each server is below 100%. Certain policies, although…

最优化与控制 · 数学 2024-03-08 Feiyang Zhao , Itai Gurvich , John Hasenbein

The fluid model has proven to be one of the most effective tools for the analysis of stochastic queueing networks, specifically for the analysis of stability. It is known that stability of a fluid model implies positive (Harris) recurrence…

概率论 · 数学 2007-05-23 David Gamarnik , John Hasenbein

The emergence of large-scale wireless networks with partially-observable and time-varying dynamics has imposed new challenges on the design of optimal control policies. This paper studies efficient scheduling algorithms for wireless…

网络与互联网体系结构 · 计算机科学 2023-08-08 Quang Minh Nguyen , Eytan Modiano

In this article we introduce a new model to study stability in multi-hop wireless networks in the framework of adversarial queueing. In such a model, a routing protocol consists of three components: a transmission policy, a scheduling…

网络与互联网体系结构 · 计算机科学 2016-10-04 Bogdan S. Chlebus , Vicent Cholvi , Dariusz R. Kowalski

Optical switches have been drawing attention due to their large data bandwidth and low power consumption. However, scheduling policies need to account for the schedule reconfiguration delay of optical switches to achieve good performance.…

最优化与控制 · 数学 2017-01-23 Chang-Heng Wang , Siva Theja Maguluri , Tara Javidi

We consider a general class of low complexity distributed scheduling algorithms in wireless networks, maximal scheduling with priorities, where a maximal set of transmitting links in each time slot are selected according to certain…

信息论 · 计算机科学 2011-12-05 Qiao Li , Rohit Negi

Maximizing throughput for heterogeneous parallel server queues has received quite a bit of attention from the research community and the stability region for such systems is well understood. However, many real-world systems have periods…

动力系统 · 数学 2011-08-31 Carri W. Chan , Mor Armony , Nicholas Bambos

In this paper, we study scheduling of a queueing system with zero knowledge of instantaneous network conditions. We consider a one-hop single-server queueing system consisting of $K$ queues, each with time-varying and non-stationary arrival…

最优化与控制 · 数学 2023-03-07 Jiatai Huang , Leana Golubchik , Longbo Huang

There has been considerable recent work developing a new stochastic network utility maximization framework using Backpressure algorithms, also known as MaxWeight. A key open problem has been the development of utility-optimal algorithms…

最优化与控制 · 数学 2011-04-05 Longbo Huang , Scott Moeller , Michael J. Neely , Bhaskar Krishnamachari

Motivated by applications in data center networks, in this paper, we study the problem of scheduling in an input queued switch. While throughput maximizing algorithms in a switch are well-understood, delay analysis was developed only…

概率论 · 数学 2022-06-15 Prakirt Jhunjhunwala , Siva Theja Maguluri

There has recently been considerable interest in the stability of different fair bandwidth sharing policies for models that arise in the context of Internet congestion control. Here, we consider a connection level model, introduced by…

概率论 · 数学 2010-10-18 Maury Bramson

We consider a wireless network with a base station serving multiple traffic streams to different destinations. Packets from each stream arrive to the base station according to a stochastic process and are enqueued in a separate (per stream)…

网络与互联网体系结构 · 计算机科学 2019-05-20 Igor Kadota , Eytan Modiano

We consider a stochastic queueing system modelling the behaviour of a wireless network with nodes employing a discrete-time version of the standard decentralised medium access algorithm. The system is {\em unsaturated} -- each node receives…

网络与互联网体系结构 · 计算机科学 2018-03-21 Seva Shneer , Alexander Stolyar

We investigate the asymptotic behavior of the steady-state queue length distribution under generalized max-weight scheduling in the presence of heavy-tailed traffic. We consider a system consisting of two parallel queues, served by a single…

网络与互联网体系结构 · 计算机科学 2010-07-27 Krishna Jagannathan , Mihalis Markakis , Eytan Modiano , John N. Tsitsiklis

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.…

网络与互联网体系结构 · 计算机科学 2010-04-01 Devavrat Shah , John N. Tsitsiklis , Yuan Zhong

In the today's Internet and TCP/IP-networks, the queueing of packets is commonly implemented using the protocol FIFO (First In First Out). Unfortunately, FIFO performs poorly in the Adversarial Queueing Theory. Other queueing strategies are…

网络与互联网体系结构 · 计算机科学 2008-05-07 Michael Hilker , Christoph Schommer

We examine deterministic broadcasting on multiple-access channels for a scenario when packets are injected continuously by an adversary to the buffers of the devices at rate $\rho$ packages per round. The aim is to maintain system…

分布式、并行与集群计算 · 计算机科学 2020-05-19 Elijah Hradovich , Marek Klonowski , Dariusz R. Kowalski

We consider the problem of utility optimal scheduling in general \emph{processing networks} with random arrivals and network conditions. These are generalizations of traditional data networks where commodities in one or more queues can be…

最优化与控制 · 数学 2010-10-12 Longbo Huang , Michael J. Neely

We consider the optimal control of input-queued switches under a cost-weighted variant of MaxWeight scheduling, for which we establish theoretical properties that include showing the algorithm exhibits optimal heavy-traffic queue-length…

最优化与控制 · 数学 2020-03-03 Yingdong Lu , Siva Theja Maguluri , Mark S. Squillante , Tonghoon Suk

In this paper, wireless systems operating under queueing constraints in the form of limitations on the buffer violation probabilities are considered. The throughput under such constraints is captured by the effective capacity formulation.…

信息论 · 计算机科学 2010-09-16 Mustafa Cenk Gursoy