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Related papers: An End-to-End Probabilistic Network Calculus with …

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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

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 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

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

Stochastic Network Calculus is a probabilistic method to compute performance bounds in networks, such as end-to-end delays. It relies on the analysis of stochastic processes using formalism of (Deterministic) Network Calculus. However,…

Performance · Computer Science 2024-01-19 Anne Bouillard

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 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

Network Calculus (NC) is a versatile analytical methodology to efficiently compute performance bounds in networked systems. The arrival and service curve abstractions allow to model diverse and heterogeneous distributed systems. The…

Networking and Internet Architecture · Computer Science 2024-03-28 Anja Hamscher , Vlad-Cristian Constantin , Jens B. Schmitt

Network calculus (NC), particularly its min-plus branch, has been extensively utilized to construct service models and compute delay bounds for time-sensitive networks (TSNs). This paper provides a revisit to the fundamental results. In…

Networking and Internet Architecture · Computer Science 2024-03-21 Yuming Jiang

The network calculus (NC) analysis takes a simple model consisting of a network of schedulers and data flows crossing them. A number of analysis "building blocks" can then be applied to capture the model without imposing pessimistic…

Networking and Internet Architecture · Computer Science 2024-01-17 Fabien Geyer , Steffen Bondorf

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

Networks with hop-by-hop flow control occur in several contexts, from data centers to systems architectures (e.g., wormhole-routing networks on chip). A worst-case end-to-end delay in such networks can be computed using Network Calculus…

Networking and Internet Architecture · Computer Science 2023-07-10 Raffaele Zippo , Giovanni Stea

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

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

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

Building robust, interpretable, and secure AI system requires quantifying and representing uncertainty under a probabilistic perspective to mimic human cognitive abilities. However, probabilistic computation presents significant challenges…

Machine Learning · Computer Science 2024-01-15 Hengyuan Ma , Yang Qi , Li Zhang , Wenlian Lu , Jianfeng Feng

A two-state master equation based decision making model has been shown to generate phase transitions, to be topologically complex and to manifest temporal complexity through an inverse power-law probability distribution function in the…

Adaptation and Self-Organizing Systems · Physics 2015-06-22 Bruce J. West , Malgorzata Turalska , Paolo Grigolini

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

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
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