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Energy saving is becoming an important issue in the design and use of computer networks. In this work we propose a problem that considers the use of rate adaptation as the energy saving strategy in networks. The problem is modeled as an…

Networking and Internet Architecture · Computer Science 2013-02-04 Lin Wang , Antonio Fernández Anta , Fa Zhang , Chenying Hou , Zhiyong Liu

The discretization of optimal transport problems often leads to large linear programs with sparse solutions. We derive error estimates for the approximation of the problem using convex combinations of Dirac measures and devise an active-set…

Numerical Analysis · Mathematics 2017-10-16 Sören Bartels , Stephan Hertzog

We consider Markov models of large-scale networks where nodes are characterized by their local behavior and by a mobility model over a two-dimensional lattice. By assuming random walk, we prove convergence to a system of partial…

Networking and Internet Architecture · Computer Science 2016-04-27 Max Tschaikowski , Mirco Tribastone

Decentralized optimization strategies are helpful for various applications, from networked estimation to distributed machine learning. This paper studies finite-sum minimization problems described over a network of nodes and proposes a…

Systems and Control · Electrical Eng. & Systems 2024-08-06 Mohammadreza Doostmohammadian , Zulfiya R. Gabidullina , Hamid R. Rabiee

Smart distribution grids should efficiently integrate stochastic renewable resources while effecting voltage regulation. The design of energy management schemes is challenging, one of the reasons being that energy management is a multistage…

Optimization and Control · Mathematics 2016-08-19 Luis M. Lopez-Ramos , Vassilis Kekatos , Antonio G. Marques , Georgios B. Giannakis

We investigate the optimal transport (OT) problem over networks, wherein supply and demand are conceptualized as temporal marginals governing departure rates of particles from source nodes and arrival rates at sink nodes. This setting…

Optimization and Control · Mathematics 2026-02-17 Anqi Dong , Karl H. Johansson , Johan Karlsson

We study a vehicle-based hub network design problem (HNDPv) with the main applications in freight distribution and parcel delivery systems, where the economies of scale stem from the effective utilization of vehicles that move consolidated…

Optimization and Control · Mathematics 2023-01-12 Mohammad Saleh Farham , Borzou Rostami , Michael Haughton

In this paper we study a variant of the branched transportation problem, that we call multi-material transport problem. This is a transportation problem, where distinct commodities are transported simultaneously along a network. The cost of…

Analysis of PDEs · Mathematics 2019-03-07 Andrea Marchese , Annalisa Massaccesi , Riccardo Tione

A distributed, hierarchical, market based approach is introduced to solve the economic dispatch problem. The approach requires only a minimal amount of information to be shared between a central market operator and the end-users. Price…

Multiagent Systems · Computer Science 2020-09-07 Cornelis Jan van Leeuwen , Joost Stam , Arun Subramanian , Koen Kok

Increased uncertainty due to high penetration of renewables imposes significant costs to the system operators. The added costs depend on several factors including market design, performance of renewable generation forecasting and the…

Optimization and Control · Mathematics 2014-04-23 Baosen Zhang , Ram Rajagopal , David Tse

Risk Limiting Dispatch (RLD) was proposed recently as a mechanism that utilizes information and market recourse to reduce reserve capacity requirements, emissions and achieve other system operator objectives. It induces a set of simple…

Optimization and Control · Mathematics 2012-12-04 Junjie Qin , Han-I Su , Ram Rajagopal

This paper concerns the potential of corrective actions, such as generation and load dispatch on minimizing the effects of transmission line failures in electric power systems. Three loss functions (grid-centric, consumer-centric, and…

Systems and Control · Electrical Eng. & Systems 2022-12-13 Siyu Liu , Marija Ilic

The scheduling problem in Hurdle (1973) was formulated in a general form that simultaneously concerned the vehicle dispatching, circulating, fleet sizing, and patron queueing. As a constrained variational problem, it remains not fully…

Optimization and Control · Mathematics 2021-06-11 Wenbo Fan

The displacement $\lambda$-convexity of a nonstandard entropy with respect to a nonlocal transportation metric in finite state spaces is shown using a gradient flow approach. The constant $\lambda$ is computed explicitly in terms of a…

Analysis of PDEs · Mathematics 2016-11-16 José A. Carrillo , Ansgar Jüngel , Matheus C. Santos

We investigate the distributed online economic dispatch problem for power systems with time-varying coupled inequality constraints. The problem is formulated as a distributed online optimization problem in a multi-agent system. At each time…

Optimization and Control · Mathematics 2025-12-25 Yingjie Zhou , Xiaoqian Wang , Tao Li

In modern taxi networks, large amounts of taxi occupancy status and location data are collected from networked in-vehicle sensors in real-time. They provide knowledge of system models on passenger demand and mobility patterns for efficient…

Systems and Control · Computer Science 2017-10-24 Fei Miao , Shuo Han , Shan Lin , Qian Wang , John Stankovic , Abdeltawab Hendawi , Desheng Zhang , Tian He , George J. Pappas

In this paper we formulate of the Economic Dispatch (ED) problem in Power Systems in continuous time and include in it ramping constraints to derive an expression of the price that reflects some important inter-temporal constraints of the…

Optimization and Control · Mathematics 2016-07-14 Anna Scaglione

We consider the problems of tracking an ensemble of indistinguishable agents with linear dynamics based only on output measurements. In this setting, the dynamics of the agents can be modeled by distribution flows in the state space and the…

Systems and Control · Computer Science 2018-03-07 Yongxin Chen , Johan Karlsson

In this work we study a special minimax problem where there are linear constraints that couple both the minimization and maximization decision variables. The problem is a generalization of the traditional saddle point problem (which does…

Optimization and Control · Mathematics 2022-11-29 Ioannis Tsaknakis , Mingyi Hong , Shuzhong Zhang

Recent increases in gas-fired power generation have engendered increased interdependencies between natural gas and power transmission systems. These interdependencies have amplified existing vulnerabilities to gas and power grids, where…

Optimization and Control · Mathematics 2021-08-30 Byron Tasseff , Carleton Coffrin , Russell Bent