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High-radix interconnects such as Dragonfly and its variants rely on adaptive routing to balance network traffic for optimum performance. Ideally, adaptive routing attempts to forward packets between minimal and non-minimal paths with the…

Networking and Internet Architecture · Computer Science 2024-04-05 Yao Kang , Xin Wang , Zhiling Lan

We consider the problem of routing packets across a multi-hop network consisting of multiple sources of traffic and wireless links while ensuring bounded expected delay. Each packet transmission can be overheard by a random subset of…

Networking and Internet Architecture · Computer Science 2012-03-07 Abhijeet Bhorkar , Mohammad Naghshwar , Tara Javidi

This paper studies the delay constrained multicast capacity of large scale mobile ad hoc networks (MANETs). We consider a MANET consists of $n_s$ multicast sessions. Each multicast session has one source and $p$ destinations. The wireless…

Networking and Internet Architecture · Computer Science 2009-08-17 Shan Zhou , Lei Ying

This paper extends a stochastic theory for buffer fill distribution for multiple ``on'' and ``off'' sources to a mobile environment. Queue fill distribution is described by a set of differential equations assuming sources alternate…

Networking and Internet Architecture · Computer Science 2009-09-25 Stephen F. Bush , Sunil Jagannath , Joseph B. Evans , Victor Frost

The Join-the-Shortest-Queue-d routing policy is considered for a large system with $n$ servers. Moderate deviation principles (MDP) for the occupancy process and the empirical queue length process are established as $n\to \infty$. Each MDP…

Probability · Mathematics 2025-03-06 Zhenhua Wang , Ruoyu Wu

Consider networks on $n$ vertices at average density 1 per unit area. We seek a network that minimizes total length subject to some constraint on journey times, averaged over source-destination pairs. Suppose journey times depend on both…

Statistical Mechanics · Physics 2007-05-23 David Aldous

Geographic routing protocols greatly reduce the requirements of topology storage and provide flexibility in the accommodation of the dynamic behavior of mobile ad hoc networks. This paper presents performance evaluations and comparisons of…

Information Theory · Computer Science 2016-11-15 Don Torrieri , Salvatore Talarico , Matthew C. Valenti

A key practical constraint on the design of Hybrid automatic repeat request (HARQ) schemes is the size of the on-chip buffer that is available at the receiver to store previously received packets. In fact, in modern wireless standards such…

Information Theory · Computer Science 2015-04-01 Wonju Lee , Osvaldo Simeone , Joonhyuk Kang , Sundeep Rangan , Petar Popovski

A communication network modelled by a directed acyclic graph (DAG) is considered, over which a source wishes to send a specified number of bits to a destination node. Each node of the DAG is powered by a separate renewable energy source,…

Information Theory · Computer Science 2019-08-28 Rahul Vaze , Sibi Raj B Pillai

Active Queue Management (AQM), a network-layer congestion control technique endorsed by the Internet Engineering Task Force (IETF), encourages routers to discard packets before the occurrence of buffer overflow. Traditional AQM techniques…

Networking and Internet Architecture · Computer Science 2024-10-04 Mohammad Parsa Toopchinezhad , Mahmood Ahmadi

Despite its importance for practical applications, not much is known about the optimal shape of a network that connects in an efficient way a set of points. This problem can be formulated in terms of a multiplex network with a fast layer…

Physics and Society · Physics 2023-11-13 Siddharth Patwardhan , Marc Barthelemy , Sirag Erkol , Santo Fortunato , Filippo Radicchi

We consider the following distributed service model: jobs with unit mean, general distribution, and independent processing times arrive as a renewal process of rate $\lambda n$, with $0<\lambda<1$, and are immediately dispatched to one of…

Probability · Mathematics 2018-07-10 David Gamarnik , John N. Tsitsiklis , Martin Zubeldia

In this paper, we present a probabilistic self-balancing dictionary data structure for massive data sets, and prove expected amortized I/O-optimal bounds on the dictionary operations. We show how to use the structure as an I/O-optimal…

Data Structures and Algorithms · Computer Science 2007-05-23 Saju Jude Dominic , G. Sajith

Operating cloud service infrastructures requires high energy efficiency while ensuring a satisfactory service level. Motivated by data centers, we consider a workload routing and server speed control policy applicable to the system…

Performance · Computer Science 2023-03-06 Seung Min Baik , Young Myoung Ko

We study an admissions control problem, where a queue with service rate $1-p$ receives incoming jobs at rate $\lambda\in(1-p,1)$, and the decision maker is allowed to redirect away jobs up to a rate of $p$, with the objective of minimizing…

Probability · Mathematics 2014-07-03 Joel Spencer , Madhu Sudan , Kuang Xu

Suitable estimators for a class of Large Deviation approximations of rare event probabilities based on sample realizations of random processes have been proposed in our earlier work. These estimators are expressed as non-linear…

Information Theory · Computer Science 2016-05-04 Spyridon Vassilaras , Ioannis Ch. Paschalidis

In this letter, we propose a new routing strategy with a single free parameter $\alpha$ only based on local information of network topology. In order to maximize the packets handling capacity of underlying structure that can be measured by…

Physics and Society · Physics 2016-09-08 Chuan-Yang Yin , Bing-Hong Wang , Wen-Xu Wang , Tao Zhou , Hui-Jie Yang

Emerging edge computing paradigms enable heterogeneous devices to collaborate on complex computation applications. However, for arbitrary heterogeneous edge networks, delay-optimal forwarding and computation offloading remains an open…

Networking and Internet Architecture · Computer Science 2025-06-17 Jinkun Zhang , Yuezhou Liu , Edmund Yeh

In the reordering buffer problem (RBP), a server is asked to process a sequence of requests lying in a metric space. To process a request the server must move to the corresponding point in the metric. The requests can be processed slightly…

Data Structures and Algorithms · Computer Science 2012-04-27 Siddharth Barman , Shuchi Chawla , Seeun Umboh

We consider routing in reconfigurable networks, which is also known as coflow scheduling in the literature. The algorithmic literature generally (perhaps implicitly) assumes that the amount of data to be transferred is large. Thus the…

Data Structures and Algorithms · Computer Science 2026-03-17 Alexander Lindermayr , Kirk Pruhs , Andréa W. Richa , Tegan Wilson
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