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Network Calculus (NC) is a versatile methodology based on min-plus algebra to derive worst-case per-flow performance bounds in networked systems with many concurrent flows. In particular, NC can analyze many scheduling disciplines; yet,…

网络与互联网体系结构 · 计算机科学 2025-06-23 Lukas Wildberger , Anja Hamscher , Jens B. Schmitt

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…

网络与互联网体系结构 · 计算机科学 2023-07-10 Raffaele Zippo , Giovanni Stea

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…

网络与互联网体系结构 · 计算机科学 2024-03-21 Yuming Jiang

Network Calculus (NC) is an algebraic theory that represents traffic and service guarantees as curves in a Cartesian plane, in order to compute performance guarantees for flows traversing a network. NC uses transformation operations, e.g.,…

网络与互联网体系结构 · 计算机科学 2026-01-15 Raffaele Zippo , Paul Nikolaus , Giovanni Stea

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…

网络与互联网体系结构 · 计算机科学 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…

网络与互联网体系结构 · 计算机科学 2012-12-11 Kishore Angrishi

A basic calculus is presented for stochastic service guarantee analysis in communication networks. Central to the calculus are two definitions, maximum-(virtual)-backlog-centric (m.b.c) stochastic arrival curve and stochastic service curve,…

性能 · 计算机科学 2007-07-16 Yuming Jiang

Network Calculus is a theoretical model that aims at providing upper bounds of worst-case performance (such as delay or buffer occupancy). This is a mathematical framework that handles both network modeling and network analysis. As such it…

网络与互联网体系结构 · 计算机科学 2026-04-21 Anne Bouillard

We present a model of performance bound calculus on feedforward networks where data packets are routed under wormhole routing discipline. We are interested in determining maximum end-to-end delays and backlogs of messages or packets going…

性能 · 计算机科学 2010-08-04 Nadir Farhi , Bruno Gaujal

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…

信息论 · 计算机科学 2009-09-29 Markus Fidler

We propose in this article an adaptation of the basic techniques of the deterministic network calculus theory to the road traffic flow theory. Network calculus is a theory based on min-plus algebra. It uses algebraic techniques to compute…

最优化与控制 · 数学 2013-02-04 Nadir Farhi , Habib Haj-Salem , Jean-Patrick Lebacque

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,…

网络与互联网体系结构 · 计算机科学 2023-07-27 Fabien Geyer , Steffen Bondorf

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…

网络与互联网体系结构 · 计算机科学 2012-12-11 Kishore Angrishi , Sujaritha Vettukadu , Ulrich Killat

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…

性能 · 计算机科学 2018-06-07 Ahmed Amari , Ahlem Mifdaoui

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…

网络与互联网体系结构 · 计算机科学 2024-01-17 Fabien Geyer , Steffen Bondorf

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…

网络与互联网体系结构 · 计算机科学 2011-09-30 Kishore Angrishi , Ulrich Killat

In this paper, we shed new light on a classical scheduling problem: given a slot-timed, constant-capacity server, what short-run scheduling decisions must be made to provide long-run service guarantees to competing flows of unit-sized…

系统与控制 · 电气工程与系统科学 2025-09-30 Yike Xu , Mark S. Andersland

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…

性能 · 计算机科学 2011-12-14 Jing Xie , Yuming Jiang , Min Xie

The derivation of upper bounds on data flows' worst-case traversal times is an important task in many application areas. For accurate bounds, model simplifications should be avoided even in large networks. Network Calculus (NC) provides a…

网络与互联网体系结构 · 计算机科学 2024-01-17 Fabien Geyer , Alexander Scheffler , Steffen Bondorf

Time-Sensitive Networking (TSN) is a set of standards that enables the industry to provide real-time guarantees for time-critical communications with Ethernet hardware. TSN supports various queuing and scheduling mechanisms and allows the…

网络与互联网体系结构 · 计算机科学 2025-08-27 Lisa Maile , Kai-Steffen Hielscher , Reinhard German
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