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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 development of real-time networks such as reactive embedded systems, there is a need to compute deterministic performance bounds. This paper focuses on the performance guarantees and stability conditions in networks with cyclic…

Networking and Internet Architecture · Computer Science 2018-10-08 Anne Bouillard

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

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…

Optimization and Control · Mathematics 2013-02-04 Nadir Farhi , Habib Haj-Salem , Jean-Patrick Lebacque

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

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

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

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 (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

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…

Performance · Computer Science 2010-08-04 Nadir Farhi , Bruno Gaujal

In feed-forward time-sensitive networks with Deficit Round-Robin (DRR), worst-case delay bounds were obtained by combining Total Flow Analysis (TFA) with the strict service curve characterization of DRR by Tabatabaee et al. The latter is…

Networking and Internet Architecture · Computer Science 2023-07-24 Seyed Mohammadhossein Tabatabaee , Anne Bouillard , Jean-Yves Le Boudec

Network calculus is often used to prove delay bounds in deterministic networks, using arrival and service curves. We consider a FIFO system that offers a rate-latency service curve and where packet transmission occurs at line rate without…

Networking and Internet Architecture · Computer Science 2020-08-10 Ehsan Mohammadpour , Elena Stai , Jean-Yves Le Boudec

We analyze the problem of scheduling in wireless networks to meet end-to-end service guarantees. Using network slicing to decouple the queueing dynamics between flows, we show that the network's ability to meet hard throughput and deadline…

Networking and Internet Architecture · Computer Science 2024-09-17 Nicholas Jones , Eytan Modiano

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

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 letter investigates the coupled control problem in UAV networks utilizing high-frequency hybrid beamsteering. While phased arrays enable rapid electronic scanning, their finite Field of View (FoV) imposes a fundamental constraint that…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Evangelos Vlachos

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,…

Networking and Internet Architecture · Computer Science 2025-06-23 Lukas Wildberger , Anja Hamscher , Jens B. Schmitt

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

This paper analyzes the effective capacity of delay constrained machine type communication (MTC) networks operating in the finite blocklength regime. First, we derive a closed-form mathematical approximation for the effective capacity in…

Information Theory · Computer Science 2018-08-23 Mohammad Shehab , Endrit Dosti , Hirley Alves , Matti Latva-aho

Control of multihop Wireless networks in a distributed manner while providing end-to-end delay requirements for different flows, is a challenging problem. Using the notions of Draining Time and Discrete Review from the theory of fluid…

Networking and Internet Architecture · Computer Science 2017-04-20 Ashok Krishnan K. S. , Vinod Sharma
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