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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

Network traffic analysis increasingly uses complex machine learning models as the internet consolidates and traffic gets more encrypted. However, over high-bandwidth networks, flows can easily arrive faster than model inference rates. The…

Networking and Internet Architecture · Computer Science 2024-10-25 Shinan Liu , Ted Shaowang , Gerry Wan , Jeewon Chae , Jonatas Marques , Sanjay Krishnan , Nick Feamster

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

Consider a first-come, first-served single server queue with an initial workload $x>0$ and customers who arrive according to an inhomogeneous Poisson process with rate function $\lambda:[0,\infty)\rightarrow[0,\lambda_h ]$ for some…

Probability · Mathematics 2025-03-18 Shreehari Anand Bodas , Royi Jacobovic

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…

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

With the fast development of wireless technologies, wireless applications have invaded various areas in people's lives with a wide range of capabilities. Guaranteeing Quality-of-Service (QoS) is the key to the success of those applications.…

Networking and Internet Architecture · Computer Science 2016-06-20 Xu Zheng , Zhipeng Cai , Jianzhong Li , Hong Gao

We provide upper bounds on the end-to-end backlog and delay in a network with heavy-tailed and self-similar traffic. The analysis follows a network calculus approach where traffic is characterized by envelope functions and service is…

Networking and Internet Architecture · Computer Science 2013-12-30 Jorg Liebeherr , Almut Burchard , Florin Ciucu

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

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

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

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…

Systems and Control · Electrical Eng. & Systems 2025-09-30 Yike Xu , Mark S. Andersland

We consider a basic model of a dynamical distribution network, modeled as a directed graph with storage variables corresponding to every vertex and flow inputs corresponding to every edge, subject to unknown but constant inflows and…

Optimization and Control · Mathematics 2014-03-21 Jieqiang Wei , Arjan J. van der Schaft

Nowadays distributed computing approach has become very popular due to several advantages over the centralized computing approach as it also offers high performance computing at a very low cost. Each router implements some queuing mechanism…

Networking and Internet Architecture · Computer Science 2019-10-10 Taskeen Zaidi , Nitya Nand Dwivedi

Code-division multiple-access (CDMA) has the potential to support traffic sources with a wide range of quality of service (QoS) requirements. The traffic carrying capacity of CDMA channels under QoS constraints (such as delay guarantee) is,…

Networking and Internet Architecture · Computer Science 2011-05-03 Kashif Mahmood , Mikko Vehkaperä , Yuming Jiang

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

The paper studies a closed queueing network containing two types of node. The first type (server station) is an infinite server queueing system, and the second type (client station) is a single server queueing system with autonomous…

Probability · Mathematics 2021-07-01 Vyacheslav M. Abramov

Many cloud systems utilize low-priority flows to achieve various performance objectives (e.g., low latency, high utilization), relying on TCP as their preferred transport protocol. However, the suitability of TCP for such low-priority flows…

Networking and Internet Architecture · Computer Science 2024-01-18 Hafiz Mohsin Bashir , Abdullah Bin Faisal , Fahad R. Dogar

In this paper a stochastic model of a call center with a two-level architecture is analyzed. A first-level pool of operators answers calls, identifies, and handles non-urgent calls. A call classified as urgent has to be transferred to…

Networking and Internet Architecture · Computer Science 2017-09-01 Vianney Boeuf , Philippe Robert

In time-sensitive networks, bounds on worst-case delays are typically obtained by using network calculus and assuming that flows are constrained by bit-level arrival curves. However, in IEEE TSN or IETF DetNet, source flows are constrained…

Networking and Internet Architecture · Computer Science 2023-08-15 Ehsan Mohammadpour , Eleni Stai , Jean-Yves Le Boudec

Closed-loop flow control protocols, such as the prominent implementation TCP, are prevalent in the Internet, today. TCP has continuously been improved for greedy traffic sources to achieve high throughput over networks with large bandwidth…

Networking and Internet Architecture · Computer Science 2016-09-05 Ralf Lübben , Markus Fidler