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We study the problem of assigning $K$ identical servers to a set of $N$ parallel queues in a time-slotted queueing system. The connectivity of each queue to each server is randomly changing with time; each server can serve at most one queue…

Optimization and Control · Mathematics 2015-03-19 Hassan Halabian , Ioannis Lambadaris , Yannis Viniotis , Chung-Horng Lung

Broadcasting systems such as P2P streaming systems represent important network applications that support up to millions of online users. An efficient broadcasting mechanism is at the core of the system design. Despite substantial efforts on…

Networking and Internet Architecture · Computer Science 2013-12-13 Shaoquan Zhang

In the online packet scheduling problem with deadlines (PacketSchD, for short), the goal is to schedule transmissions of packets that arrive over time in a network switch and need to be sent across a link. Each packet has a deadline,…

Data Structures and Algorithms · Computer Science 2023-10-24 Pavel Veselý , Marek Chrobak , Łukasz Jeż , Jiří Sgall

This paper proposes a new class of online policies for scheduling in input-buffered crossbar switches. Our policies are throughput optimal for a large class of arrival processes which satisfy strong-law of large numbers. Given an initial…

Networking and Internet Architecture · Computer Science 2009-02-09 Gagan Raj Gupta , Sujay Sanghavi , Ness B. Shroff

We consider the problem of throughput-optimal broadcast- ing in time-varying wireless networks, whose underlying topology is restricted to Directed Acyclic Graphs (DAG). Previous broadcast algorithms route packets along spanning trees. In…

Information Theory · Computer Science 2016-04-05 Abhishek Sinha , Leandros Tassiulas , Eytan Modiano

We consider an input queued switch operating under the MaxWeight scheduling algorithm. This system is interesting to study because it is a model for Internet routers and data center networks. Recently, it was shown that the MaxWeight…

Probability · Mathematics 2016-11-03 Siva Theja Maguluri , Sai Kiran Burle , R. Srikant

In Packet Scheduling with Adversarial Jamming packets of arbitrary sizes arrive over time to be transmitted over a channel in which instantaneous jamming errors occur at times chosen by the adversary and not known to the algorithm. The…

Data Structures and Algorithms · Computer Science 2018-08-07 Martin Böhm , Łukasz Jeż , Jiří Sgall , Pavel Veselý

The rise of algorithmic decision-making has created an explosion of research around the fairness of those algorithms. While there are many compelling notions of individual fairness, beginning with the work of Dwork et al., these notions…

Data Structures and Algorithms · Computer Science 2022-10-07 Konstantina Bairaktari , Huy Le Nguyen , Jonathan Ullman

We study the \emph{bounded-delay model} for Qualify-of-Service buffer management. Time is discrete. There is a buffer. Unit-length jobs (also called \emph{packets}) arrive at the buffer over time. Each packet has an integer release time, an…

Data Structures and Algorithms · Computer Science 2011-08-02 Fei Li

We consider a wireless system with a small number of delay constrained users and a larger number of users without delay constraints. We develop a scheduling algorithm that reacts to time varying channels and maximizes throughput utility (to…

Optimization and Control · Mathematics 2011-07-29 Michael J. Neely

Cloud computing is emerging as an important platform for business, personal and mobile computing applications. In this paper, we study a stochastic model of cloud computing, where jobs arrive according to a stochastic process and request…

Performance · Computer Science 2012-06-07 Siva Theja Maguluri , R Srikant , Lei Ying

We consider the problem of scheduling packets of different lengths via a directed communication link prone to jamming errors. Dynamic packet arrivals and errors are modelled by an adversary. We focus on estimating relative throughput of…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-21 Tomasz Jurdzinski , Dariusz R. Kowalski , Krzysztof Lorys

The back-pressure algorithm is a well-known throughput-optimal algorithm. However, its delay performance may be quite poor even when the traffic load is not close to network capacity due to the following two reasons. First, each node has to…

Networking and Internet Architecture · Computer Science 2010-05-31 Loc Bui , R. Srikant , Alexander Stolyar

Stability with respect to a given scheduling policy has become an important issue for wireless communication systems, but it is hard to prove in particular scenarios. In this paper two simple conditions for stability in broadcast channels…

Networking and Internet Architecture · Computer Science 2009-04-16 Chan Zhou , Gerhard Wunder

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…

Optimization and Control · Mathematics 2010-10-12 Longbo Huang , Michael J. Neely

We consider multiuser scheduling in wireless networks with channel variations and flow-level dynamics. Recently, it has been shown that the MaxWeight algorithm, which is throughput-optimal in networks with a fixed number users, fails to…

Networking and Internet Architecture · Computer Science 2010-08-17 Shihuan Liu , Lei Ying , R. Srikant

This paper studies the distributed scheduling of traffic flows with arbitrary deadlines that arrive at their source nodes and are transmitted to different destination nodes via multiple intermediate nodes in a wireless mesh network. When a…

Networking and Internet Architecture · Computer Science 2024-07-16 Xin Wang , Xudong Wang

In this paper we consider the Max-Weight protocol for routing and scheduling in wireless networks under an adversarial model. This protocol has received a significant amount of attention dating back to the papers of Tassiulas and…

Networking and Internet Architecture · Computer Science 2012-01-17 Sungsu Lim , Kyomin Jung , Matthew Andrews

We consider a multi-class single server queueing network as a model of a packet switching network. The rates packets are sent into this network are controlled by queues which act as congestion windows. By considering a sequence of…

Optimization and Control · Mathematics 2010-11-25 Neil Stuart Walton

Optimal transport is a framework that facilitates the most efficient allocation of a limited amount of resources. However, the most efficient allocation scheme does not necessarily preserve the most fairness. In this paper, we establish a…

Optimization and Control · Mathematics 2021-04-01 Jason Hughes , Juntao Chen