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The infinite source Poisson arrival model with heavy-tailed workload distributions has attracted much attention, especially in the modeling of data packet traffic in communication networks. In particular, it is well known that under…

概率论 · 数学 2012-10-30 Amarjit Budhiraja , Vladas Pipiras , Xiaoming Song

We address the output regulation problem for a general class of linear stochastic systems. Specifically, we formulate and solve the ideal full-information and output-feedback problems, obtaining perfect, but non-causal, asymptotic…

系统与控制 · 电气工程与系统科学 2021-04-26 Alberto Mellone , Giordano Scarciotti

We consider a queueing system composed of a dispatcher that routes deterministically jobs to a set of non-observable queues working in parallel. In this setting, the fundamental problem is which policy should the dispatcher implement to…

性能 · 计算机科学 2025-02-23 Jonatha Anselmi , Bruno Gaujal , Tommaso Nesti

As the speed and the dynamic range of computer networks evolve, the issue of efficient traffic management becomes increasingly important. This work describes an approach to traffic management using explicit rate information provided to the…

网络与互联网体系结构 · 计算机科学 2007-05-23 A. Charny , D. Clark , R. Jain

In road traffic networks, large traffic volumes may lead to extreme delays. These severe delays are caused by the fact that, whenever the maximum capacity of a road is approached, speeds drop rapidly. Therefore, the focus in this paper is…

最优化与控制 · 数学 2023-06-08 Nikki Levering , Rudesindo Núñez-Queija

Optimal transport has been used extensively in resource matching to promote the efficiency of resources usages by matching sources to targets. However, it requires a significant amount of computations and storage spaces for large-scale…

最优化与控制 · 数学 2019-04-10 Rui Zhang , Quanyan Zhu

We consider optimal control of a stochastic network,where service is controlled to prevent buffer overflow. We use a risk-sensitive escape time criterion, which in comparison to the ordinary escape time criteria heavily penalizes exits…

概率论 · 数学 2007-05-23 Rami Atar , Paul Dupuis , Adam Shwartz

Models for the dynamics of congestion control generally involve systems of coupled differential equations. Universally, these models assume that traffic sources saturate the maximum transmissions allowed by the congestion control method.…

网络与互联网体系结构 · 计算机科学 2024-03-25 Harvinder Lehal , Natchanon Luangsomboon , Jörg Liebeherr

The purpose of this paper is two-fold: We extend the well-known relation between optimal stopping and randomized stopping of a given stochastic process to a situation where the available information flow is a filtration with no a priori…

最优化与控制 · 数学 2021-04-28 Nacira Agram , Sven Haadem , Bernt Oksendal , Frank Proske

The model is a service system, consisting of several large server pools. A server processing speed and buffer size (which may be finite or infinite) depend on the pool. The input flow of customers is split equally among a fixed number of…

概率论 · 数学 2016-08-05 Alexander Stolyar

Due to densification of wireless networks, there exist abundance of idling computation resources at edge devices. These resources can be scavenged by offloading heavy computation tasks from small IoT devices in proximity, thereby overcoming…

信息论 · 计算机科学 2018-02-28 Yunzheng Tao , Changsheng You , Ping Zhang , Kaibin Huang

Optimal queueing control of multi-hop networks remains a challenging problem even in the simplest scenarios. In this paper, we consider a two-hop half-duplex relaying system with random channel connectivity. The relay is equipped with a…

信息论 · 计算机科学 2015-10-28 Bo Zhou , Ying Cui , Meixia Tao

We develop link rate control policies to minimize the queueing delay of packets in overloaded networks. We show that increasing link rates does not guarantee delay reduction during overload. We consider a fluid queueing model that…

网络与互联网体系结构 · 计算机科学 2024-11-07 Xinyu Wu , Dan Wu , Eytan Modiano

For a multiclass G/G/1 queue with finite buffers, admission and scheduling control, and holding and rejection costs, we construct a policy that is asymptotically optimal in the heavy traffic limit. The policy is specified in terms of a…

概率论 · 数学 2014-12-23 Rami Atar , Mark Shifrin

We consider a two-queue polling model with switch-over times and $k$-limited service (serve at most $k_i$ customers during one visit period to queue $i$) in each queue. The major benefit of the $k$-limited service discipline is that it -…

概率论 · 数学 2016-03-07 Marko Boon , Erik Winands

We consider a model for transitory queues in which only a finite number of customers can join. The queue thus operates over a finite time horizon. In this system, also known as the $\Delta_{(i)}/G/1$ queue, the customers decide…

概率论 · 数学 2018-11-26 Gianmarco Bet

The emerging connected-vehicle technology provides a new dimension in developing more intelligent traffic control algorithms for signalized intersections in networked transportation systems. An important challenge for the scheduling problem…

网络与互联网体系结构 · 计算机科学 2017-01-20 Ping-Chun Hsieh , Xi Liu , Jian Jiao , I-Hong Hou , Yunlong Zhang , P. R. Kumar

We consider an arbitrary network of $M/M/\infty$ queues with controlled transitions between queues. We consider optimal control problems where the costs are linear functions of the state and inputs over a finite or infinite horizon. We…

最优化与控制 · 数学 2025-09-11 Giovanni Pugliese Carratelli , Ioannis Lestas

We consider the routing flow shop problem with two machines on an asymmetric network. For this problem we discuss properties of an optimal schedule and present a polynomial time algorithm assuming the number of nodes of the network to be…

离散数学 · 计算机科学 2020-05-14 Ilya Chernykh , Alexander Kononov , Sergey Sevastyanov

Modern processing networks often consist of heterogeneous servers with widely varying capabilities, and process job flows with complex structure and requirements. A major challenge in designing efficient scheduling policies in these…

概率论 · 数学 2016-10-13 Ramtin Pedarsani , Jean Walrand , Yuan Zhong