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Stochastic network calculus is an evolving theory which accounts for statistical multiplexing and uses an envelope approach for probabilistic delay and backlog analysis of networks. One of the key ideas of stochastic network calculus is the…

Networking and Internet Architecture · Computer Science 2011-09-30 Kishore Angrishi , Ulrich Killat

Stochastic network calculus is a newly developed theory for stochastic service guarantee analysis of computer networks. In the current stochastic network calculus literature, its fundamental models are based on the cumulative amount of…

Performance · Computer Science 2011-12-14 Jing Xie , Yuming Jiang , Min Xie

Stochastic network calculus is the probabilistic version of the network calculus, which uses envelopes to perform probabilistic analysis of queueing networks. The accuracy of probabilistic end-to-end delay or backlog bounds computed using…

Networking and Internet Architecture · Computer Science 2012-12-11 Kishore Angrishi , Ulrich Killat

The practicality of the stochastic network calculus (SNC) is often questioned on grounds of potential looseness of its performance bounds. In this paper it is uncovered that for bursty arrival processes (specifically Markov-Modulated On-Off…

Performance · Computer Science 2013-07-23 Florin Ciucu , Felix Poloczek , Jens Schmitt

Network calculus is an elegant theory which uses envelopes to determine the worst-case performance bounds in a network. Statistical network calculus is the probabilistic version of network calculus, which strives to retain the simplicity of…

Networking and Internet Architecture · Computer Science 2012-12-11 Kishore Angrishi

Stochastic network calculus is a theory for stochastic service guarantee analysis of computer communication networks. In the current stochastic network calculus literature, its traffic and server models are typically based on the cumulative…

Networking and Internet Architecture · Computer Science 2009-06-11 J. Xie , Y. Jiang

In this technical report, we provide an in-depth description of the Stochastic Network Calculator tool. This tool is designed to compute and automatically optimize performance bounds in queueing networks using the methodology of stochastic…

Networking and Internet Architecture · Computer Science 2017-07-26 Michael Beck , Sebastian Henningsen

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

Stochastic network calculus is a tool for computing error bounds on the performance of queueing systems. However, deriving accurate bounds for networks consisting of several queues or subject to non-independent traffic inputs is…

Networking and Internet Architecture · Computer Science 2018-10-12 Anne Bouillard , Céline Comte , Élie De Panafieu , Fabien Mathieu

Stochastic network calculus requires special care in the search of proper stochastic traffic arrival models and stochastic service models. Tradeoff must be considered between the feasibility for the analysis of performance bounds, the…

Performance · Computer Science 2010-01-18 Kui Wu , Yuming Jiang , Jie Li

Statistical network calculus is the probabilistic extension of network calculus, which uses a simple envelope approach to describe arrival traffic and service available for the arrival traffic in a node. One of the key features of network…

Networking and Internet Architecture · Computer Science 2012-12-11 Kishore Angrishi , Sujaritha Vettukadu , Ulrich Killat

The deterministic network calculus offers an elegant framework for determining delays and backlog in a network with deterministic service guarantees to individual traffic flows. This paper addresses the problem of extending the network…

Networking and Internet Architecture · Computer Science 2011-11-09 A. Burchard , J. Liebeherr , S. D. Patek

Stochastic network calculus provides an elegant way to characterize traffic and service processes. However, little effort has been made on applying it to multi-access communication systems such as 802.11. In this paper, we take the first…

Performance · Computer Science 2010-04-20 Yue Wang

Providing end-to-end network delay guarantees in packet-switched networks such as the Internet is highly desirable for mission-critical and delay-sensitive data transmission, yet it remains a challenging open problem. Due to the looseness…

Information Theory · Computer Science 2020-08-19 Massieh Kordi Boroujeny , Brian L. Mark

We study how the choice of packet scheduling algorithms influences end-to-end performance on long network paths. Taking a network calculus approach, we consider both deterministic and statistical performance metrics. A key enabling…

Networking and Internet Architecture · Computer Science 2011-01-07 Yashar Ghiassi-Farrokhfal , Jorg Liebeherr , Almut Burchard

Network calculus is a powerful methodology of characterizing queueing processes and has wide applications, but few works on applying it to 802.11 by far. In this paper, we take one of the first steps to analyze the backlog bounds of an…

Networking and Internet Architecture · Computer Science 2012-02-15 Yue Wang

The stochastic network calculus (SNC) holds promise as a versatile and uniform framework to calculate probabilistic performance bounds in networks of queues. A great challenge to accurate bounds and efficient calculations are stochastic…

Performance · Computer Science 2022-06-22 Anne Bouillard , Paul Nikolaus , Jens Schmitt

With the advent of standards for deterministic network behavior, synthesizing network designs under delay constraints becomes the natural next task to tackle. Network Calculus (NC) has become a key method for validating industrial networks,…

Networking and Internet Architecture · Computer Science 2023-07-27 Fabien Geyer , Steffen Bondorf

Networks are integral parts of modern safety-critical systems and certification demands the provision of guarantees for data transmissions. Deterministic Network Calculus (DNC) can compute a worst-case bound on a data flow's end-to-end…

Networking and Internet Architecture · Computer Science 2017-05-17 Steffen Bondorf , Paul Nikolaus , Jens B. Schmitt

Tightening performance bounds of ring networks with cyclic dependencies is still an open problem in the literature. In this paper, we tackle such a challenging issue based on Network Calculus. First, we review the conventional timing…

Performance · Computer Science 2018-06-07 Ahmed Amari , Ahlem Mifdaoui
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