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We consider a wireless broadcast station that transmits packets to multiple users. The packet requests for each user may overlap, and some users may already have certain packets. This presents a problem of broadcasting in the presence of…

Information Theory · Computer Science 2011-08-10 Michael J. Neely , Arash Saber Tehrani , Zhen Zhang

In this paper, we present a coding-theoretic framework for message transmission over packet-switched networks. Network is modeled as a channel which can induce packet errors, deletions, insertions, and out of order delivery of packets. The…

Information Theory · Computer Science 2020-08-13 Mladen Kovačević , Dejan Vukobratović

In this paper, we study network coding capacity for random wireless networks. Previous work on network coding capacity for wired and wireless networks have focused on the case where the capacities of links in the network are independent. In…

Information Theory · Computer Science 2007-08-23 Zhenning Kong , Salah A. Aly , Emina Soljanin , Edmund M. Yeh , Andreas Klappenecker

Network calculus is a min-plus system theory for performance evaluation of queuing networks. Its elegance stems from intuitive convolution formulas for concatenation of deterministic servers. Recent research dispenses with the worst-case…

Information Theory · Computer Science 2009-09-29 Markus Fidler

We consider a tandem queue with coupled processors, which is subject to global breakdowns. When the network is in the operating mode and both queues are non empty, the total service capacity is shared among the stations according to fixed…

Probability · Mathematics 2019-03-08 Ioannis Dimitriou

Random Linear Network Coding (RLNC) has emerged as a powerful tool for robust high-throughput multicast. Projection analysis - a recently introduced technique - shows that the distributed packetized RLNC protocol achieves (order) optimal…

Information Theory · Computer Science 2011-02-17 Bernhard Haeupler , Muriel Médard

Quality of service (QoS) provisioning in next-generation mobile communications systems entails a deep understanding of the delay performance. The delay in wireless networks is strongly affected by the traffic arrival process and the service…

Information Theory · Computer Science 2018-04-23 Marios Kountouris , Nikolaos Pappas , Apostolos Avranas

We consider the canonical {\em shared link network} formed by a source node, hosting a library of $m$ information messages (files), connected via a noiseless common link to $n$ destination nodes (users), each with a cache of size M files.…

Information Theory · Computer Science 2015-02-12 Mingyue Ji , Antonia M. Tulino , Jaime Llorca , Giuseppe Caire

Batched network coding is a variation of random linear network coding which has low computational and storage costs. In order to adapt to random fluctuations in the number of erasures in individual batches, it is not optimal to recode and…

Information Theory · Computer Science 2021-09-16 Hoover H. F. Yin , Bin Tang , Ka Hei Ng , Shenghao Yang , Xishi Wang , Qiaoqiao Zhou

Performance analysis of queueing networks is one of the most challenging areas of queueing theory. Barring very specialized models such as product-form type queueing networks, there exist very few results which provide provable…

Optimization and Control · Mathematics 2010-09-22 Dimitris Bertsimas , David Gamarnik , Alexander Rikun

This paper studies statistical inference in a network of infinite-server queues, with the aim of estimating the underlying parameters (routing matrix, arrival rates, parameters pertaining to the service times) using observations of the…

Probability · Mathematics 2025-06-10 Hritika Gupta , Michel Mandjes , Liron Ravner , Jiesen Wang

We give a short proof that the coherent information is an achievable rate for the transmission of quantum information through a noisy quantum channel. Our method is to produce random codes by performing a unitarily covariant projective…

Quantum Physics · Physics 2016-11-17 Patrick Hayden , Michal Horodecki , Andreas Winter , Jon Yard

Random linear network coding (RLNC) in theory achieves the max-flow capacity of multicast networks, at the cost of high decoding complexity. To improve the performance-complexity tradeoff, we consider the design of sparse network codes. A…

Information Theory · Computer Science 2016-04-20 Ye Li , Wai-Yip Chan , Steven D. Blostein

Load balancing algorithms play critical roles in systems where the workload has to be distributed across multiple resources, such as cores in multiprocessor system, computers in distributed computing, and network links. In this paper, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-20 Shafinaz Islam

This paper considers a wireless link with randomly arriving data that is queued and served over a time-varying channel. It is known that any algorithm that comes within $\epsilon$ of the minimum average power required for queue stability…

Optimization and Control · Mathematics 2014-11-19 Michael J. Neely

In a real-time transmission scenario, messages are transmitted through a channel that is subject to packet loss. The destination must recover the messages within the required deadline. In this paper, we consider a setup where two different…

Information Theory · Computer Science 2024-11-01 Dingli Yuan , Zhiquan Tan , Zhongyi Huang

We study infinite-server queues in which the arrival process is a Cox process (or doubly stochastic Poisson process), of which the arrival rate is given by shot noise. A shot-noise rate emerges as a natural model, if the arrival rate tends…

Probability · Mathematics 2017-03-21 David Koops , Michel Mandjes , Onno Boxma

Quantum networks distributed over distances greater than a few kilometers will be limited by the time required for information to propagate between nodes. We analyze protocols that are able to circumvent this bottleneck by employing…

This paper proposes a random network model for blockchains, a distributed hierarchical data structure of blocks that has found several applications in various industries. The model is parametric on two probability distribution functions…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-17 Carlos Pinzón , Camilo Rocha , Jorge Finke

We consider a server connected to $L$ users over a shared finite capacity link. Each user is equipped with a cache. File requests at the users are generated as independent Poisson processes according to a popularity profile from a library…

Performance · Computer Science 2018-04-30 Mahadesh Panju , Ramkumar Raghu , Vinod Sharma , Rajesh Ramachandran