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We develop a stochastic foundation for bandwidth estimation of networks with random service, where bandwidth availability is expressed in terms of bounding functions with a defined violation probability. Exploiting properties of a…

Networking and Internet Architecture · Computer Science 2010-08-03 Ralf Lübben , Markus Fidler , Jörg Liebeherr

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

We consider a discrete-time bipartite matching model with random arrivals of units of supply and demand that can wait in queues located at the nodes in the network. A control policy determines which are matched at each time. The focus is on…

Discrete Mathematics · Computer Science 2016-06-28 Ana Bušić , Sean Meyn

We consider the problem of throughput-optimal packet dissemination, in the presence of an arbitrary mix of unicast, broadcast, multicast and anycast traffic, in a general wireless network. We propose an online dynamic policy, called…

Optimization and Control · Mathematics 2016-11-29 Abhishek Sinha , Eytan Modiano

We consider a largely untapped potential for the improvement of traffic networks that is rooted in the inherent uncertainty of travel times. Travel times are subject to stochastic uncertainty resulting from various parameters such as…

Computer Science and Game Theory · Computer Science 2025-10-22 Svenja M. Griesbach , Martin Hoefer , Max Klimm , Tim Koglin

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

Many network optimization problems can be formulated as stochastic network design problems in which edges are present or absent stochastically. Furthermore, protective actions can guarantee that edges will remain present. We consider the…

Artificial Intelligence · Computer Science 2017-05-25 Xiaojian Wu , Yexiang Xue , Bart Selman , Carla P. Gomes

As network traffic monitoring software for cybersecurity, malware detection, and other critical tasks becomes increasingly automated, the rate of alerts and supporting data gathered, as well as the complexity of the underlying model,…

Artificial Intelligence · Computer Science 2013-05-14 Kartik Talamadupula , Octavian Udrea , Anton Riabov , Anand Ranganathan

Stochastic Model Predictive Control has proved to be an efficient method to plan trajectories in uncertain environments, e.g., for autonomous vehicles. Chance constraints ensure that the probability of collision is bounded by a predefined…

Systems and Control · Electrical Eng. & Systems 2021-05-17 Tim Brüdigam , Fulvio di Luzio , Lucia Pallottino , Dirk Wollherr , Marion Leibold

Real-world network systems are inherently dynamic, with network topologies undergoing continuous changes over time. Previous works often focus on static networks or rely on complete prior knowledge of evolving topologies, whereas real-world…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Chunyu Pan , Xizhe Zhang , Haoyu Zheng , Zhao Su , Changsheng Zhang , Weixiong Zhang

Wireless powered mobile edge computing has been envisioned as a promising paradigm to enhance the computation capability of low-power wireless devices in Industrial Internet of Things. An efficient resource scheduling method is critical yet…

Systems and Control · Electrical Eng. & Systems 2020-04-28 Hao Wu , Hui Tian , Shaoshuai Fan , Jiazhi Ren

Most practical scheduling applications involve some uncertainty about the arriving times and lengths of the jobs. Stochastic online scheduling is a well-established model capturing this. Here the arrivals occur online, while the processing…

Data Structures and Algorithms · Computer Science 2022-12-20 Sven Jäger

We consider a decentralized optimization problem for networks affected by communication delays. Examples of such networks include collaborative machine learning, sensor networks, and multi-agent systems. To mimic communication delays, we…

Machine Learning · Computer Science 2024-10-03 Tomas Ortega , Hamid Jafarkhani

This paper proposes a novel distributed optimization framework that addresses time-varying optimization problems without requiring explicit derivative information of the objective functions. Traditional distributed methods often rely on…

Optimization and Control · Mathematics 2025-09-29 Xuebin Li , Xuefei Yang , Emilia Fridman , Mamadou Diagne , Jiebao Sun

This tutorial contrasts probabilistic modeling and robust optimization to determine decisions in humanitarian logistics, specifically supply chains subject to adversarial (natural and human) disruptions. Natural disruptions induce dispatch…

Optimization and Control · Mathematics 2026-04-06 Justin Kilb , Daniel Bienstock , Alexandra M. Newman

We examine a queue-based random-access algorithm where activation and deactivation rates are adapted as functions of queue lengths. We establish its heavy traffic behavior on a complete interference graph, which turns out to be highly…

Probability · Mathematics 2021-06-08 Eyal Castiel , Sem Borst , Laurent Miclo , Florian Simatos , Philip Whiting

The integration of intermittent and volatile renewable energy resources requires increased flexibility in the operation of the electric grid. Storage, broadly speaking, provides the flexibility of shifting energy over time; network, on the…

Optimization and Control · Mathematics 2015-04-23 Junjie Qin , Yinlam Chow , Jiyan Yang , Ram Rajagopal

We consider a discrete time stochastic queueing system where a controller makes a 2-stage decision every slot. The decision at the first stage reveals a hidden source of randomness with a control-dependent (but unknown) probability…

Optimization and Control · Mathematics 2009-02-05 Michael J. Neely

In this paper a novel stochastic optimization and extremum seeking algorithm is presented, one which is based on time-delayed random perturbations and step size adaptation. For the case of a one-dimensional quadratic unconstrained…

Optimization and Control · Mathematics 2024-10-29 Naum Dimitrieski , Michael Reyer , Mohamed-Ali Belabbas , Christian Ebenbauer

Previously, transport networks are usually treated as homogeneous networks, that is, every node has the same function, simultaneously providing and requiring resources. However, some real networks, such as power grid and supply chain…

Data Analysis, Statistics and Probability · Physics 2010-06-08 Yu-Han Chen , Bing-Hong Wang , Li-Chao Zhao , Changsong Zhou , Tao Zhou