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The infinite servers queue with Poisson arrivals state transient probabilities, considering the time origin at the beginning of a busy period, mean and variance monotony as time functions is studied. These studies, for which results it is…

Probability · Mathematics 2021-09-29 Manuel Alberto M. Ferreira

This paper focuses on modeling and analysis of the temporal performance variations experienced by a mobile user in a wireless network and its impact on system level design. We consider a simple stochastic geometry model: the infrastructure…

Information Theory · Computer Science 2016-09-29 Pranav Madadi , François Baccelli , Gustavo de Veciana

We approach the problem of linear network coding for multicast networks from different perspectives. We introduce the notion of the coding points of a network, which are edges of the network where messages combine and coding occurs. We give…

Information Theory · Computer Science 2024-02-07 Sarah E. Anderson , Wael Halbawi , Nathan Kaplan , Hiram H. López , Felice Manganiello , Emina Soljanin , Judy Walker

This paper considers a network of infinite-server queues with the special feature that, triggered by specific events, the network population vector may undergo a linear transformation (a `multiplicative transition'). For this model we…

Probability · Mathematics 2017-11-15 Dieter Fiems , Michel Mandjes , Brendan Patch

We consider a system of $N$ parallel queues with identical exponential service rates and a single dispatcher where tasks arrive as a Poisson process. When a task arrives, the dispatcher always assigns it to an idle server, if there is any,…

Probability · Mathematics 2016-12-14 D. Mukherjee , S. C. Borst , J. S. H. van Leeuwaarden , P. A. Whiting

We consider the problem of serving multicast flows in a crossbar switch. We show that linear network coding across packets of a flow can sustain traffic patterns that cannot be served if network coding were not allowed. Thus, network coding…

Networking and Internet Architecture · Computer Science 2016-11-17 Jay Kumar Sundararajan , Muriel Medard , MinJi Kim , Atilla Eryilmaz , Devavrat Shah , Ralf Koetter

Packet replication and elimination functions are used by time-sensitive networks (as in the context of IEEE TSN and IETF DetNet) to increase the reliability of the network. Packets are replicated onto redundant paths by a replication…

Networking and Internet Architecture · Computer Science 2022-08-23 Ludovic Thomas , Ahlem Mifdaoui , Jean-Yves Le Boudec

Network coding is all about combining a variety of packets and forwarding as much packets as possible in each transmission operation. The network coding technique improves the throughput efficiency of multi-hop wireless networks by taking…

Networking and Internet Architecture · Computer Science 2018-05-04 Nastooh Taheri Javan , Masoud Sabaei , Mehdi Dehghan

The capacity of caching networks has received considerable attention in the past few years. A particularly studied setting is the shared link caching network, in which a single source with access to a file library communicates with multiple…

Information Theory · Computer Science 2015-11-25 Mingyue Ji , Antonia Tulino , Jaime Llorca , Giuseppe Caire

Computing the cut-set bound in half-duplex relay networks is a challenging optimization problem, since it requires finding the cut-set optimal half-duplex schedule. This subproblem in general involves an exponential number of variables,…

Information Theory · Computer Science 2013-05-14 Raúl Etkin , Farzad Parvaresh , Ilan Shomorony , A. Salman Avestimehr

In this paper, we consider the problem of modelling the average delay in an IEEE 802.11 DCF wireless mesh network with a single root node under light traffic. We derive expression for mean delay for a co-located wireless mesh network, when…

Networking and Internet Architecture · Computer Science 2010-09-06 Albert Sunny , Joy Kuri , Saurabh Aggarwal

In this paper, a network comprising wireless devices equipped with buffers transmitting deadline-constrained data packets over a slotted-ALOHA random-access channel is studied. Although communication protocols facilitating retransmissions…

Information Theory · Computer Science 2022-10-07 Nikolaos Nomikos , Themistoklis Charalambous , Yvonne-Anne Pignolet , Nikolaos Pappas

Time-sensitive networks (IEEE TSN or IETF DetNet) may tolerate some packet reordering. Re-sequencing buffers are then used to provide in-order delivery, the parameters of which (timeout, buffer size) may affect worst-case delay and delay…

Networking and Internet Architecture · Computer Science 2021-06-22 Ehsan Mohammadpour , Jean-Yves Le Boudec

We analyze a wireless line network employing wireless network coding. The two end nodes exchange their packets through relays. While a packet at a relay might not find its coding pair upon arrival, a transmission cost can be reduced by…

Networking and Internet Architecture · Computer Science 2020-06-16 Yu-Pin Hsu

In this paper we consider the problem of maximum throughput for tandem queueing system. We modeled this system as a Quasi-Birth-Death process. In order to do this we named level the number of customers waiting in the first buffer (including…

Performance · Computer Science 2015-12-21 Daniel Marian Merezeanu , Daniela Andone

Despite the rich literature on scheduling algorithms for wireless networks, algorithms that can provide deadline guarantees on packet delivery for general traffic and interference models are very limited. In this paper, we study the problem…

Networking and Internet Architecture · Computer Science 2021-01-14 Christos Tsanikidis , Javad Ghaderi

In the infinite servers queue with Poisson arrivals real life practical applications, the busy period and the busy cycle probabilistic study is of main importance. But it is a very difficult task. In this text, we show that by solving a…

Probability · Mathematics 2022-04-05 Manuel Alberto M. Ferreira

Quantum queue-channels arise naturally in the context of buffering in quantum networks, wherein the noise suffered by the quantum states depends on the time spent waiting in the buffer. It has been shown that the upper-bound on the…

In this paper correspondence between experimental data for packet delay and two theoretical types of distribution is investigated. Statistical tests have shown that only exponential distribution can be used for the description of packet…

Networking and Internet Architecture · Computer Science 2017-02-20 A. M. Sukhov , N. Yu. Kuznetsova , A. K. Pervitsky , A. A. Galtsev

To reduce computational complexity and delay in randomized network coded content distribution (and for some other practical reasons), coding is not performed simultaneously over all content blocks but over much smaller subsets known as…

Information Theory · Computer Science 2010-06-04 Yao Li , Emina Soljanin , Predrag Spasojevic