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This paper investigates Nash equilibrium (NE) seeking problems for noncooperative games over multi-players networks with finite bandwidth communication. A distributed quantized algorithm is presented, which consists of local gradient play,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-16 Ziqin Chen , Ji Ma , Shu Liang , Li Li

This paper studies the problem of output agreement in networks of nonlinear dynamical systems under time-varying disturbances, using dynamic diffusive couplings. Necessary conditions are derived for general networks of nonlinear systems,…

Systems and Control · Computer Science 2013-12-02 Mathias Bürger , Claudio De Persis

Differential equations are a ubiquitous tool to study dynamics, ranging from physical systems to complex systems, where a large number of agents interact through a graph with non-trivial topological features. Data-driven approximations of…

Statistical Mechanics · Physics 2024-04-26 Vaiva Vasiliauskaite , Nino Antulov-Fantulin

Schedule-based transit assignment describes congestion in public transport services by modeling the interactions of passenger behavior in a time-space network built directly on a transit schedule. This study investigates the theoretical…

Optimization and Control · Mathematics 2023-04-06 Takashi Akamatsu , Koki Satsukawa , Yuki Oyama

Dynamic optimisation occurs in a variety of real-world problems. To tackle these problems, evolutionary algorithms have been extensively used due to their effectiveness and minimum design effort. However, for dynamic problems, extra…

Neural and Evolutionary Computing · Computer Science 2020-08-11 Maryam Hasani Shoreh , Renato Hermoza Aragonés , Frank Neumann

This manuscript explores a variational quantum formulation for nonlinear elasticity problems arising from hyperelastic material models, targeting near term noisy intermediate scale quantum (NISQ) devices. The approach leverages the…

Quantum Physics · Physics 2026-05-29 Uditnarayan Kouskiya , Caglar Oskay

Recently, due to the staggering growth of wireless data traffic, heterogeneous networks have drawn tremendous attention due to the capabilities of enhancing the capacity/coverage and to save energy consumption for the next generation…

Networking and Internet Architecture · Computer Science 2019-11-19 Shaohan Feng , Dusit Niyato , Xiao Lu , Ping Wang , Dong In Kim

A nonlinear inequality is formulated in the paper. An estimate of the rate of growth/decay of solutions to this inequality is obtained. This inequality is of interest in a study of dynamical systems and nonlinear evolution equations. It can…

Classical Analysis and ODEs · Mathematics 2010-01-29 N. S. Hoang , A. G. Ramm

Given the complexity of power systems, particularly the high-dimensional variability of net loads, accurately depicting the entire operational range of net loads poses a challenge. To address this, recent methodologies have sought to gauge…

Optimization and Control · Mathematics 2024-07-23 Xinyi Zhao , Lei Fan , Fei Ding , Weijia Liu , Chaoyue Zhao

The paper provides consistent mathematical framework for seminal Tiebout free-mobility model (1956). Our setting supports continuum of consumers with multidimensional preferences and finite number of strategic public good providers. We…

Optimization and Control · Mathematics 2018-05-31 Alexey Savvateev , Constantine Sorokin , Shlomo Weber

We consider a sequential decision model over multi-tier supply chain networks and show that in particular, for series parallel networks, there is a unique equilibrium. We provide a linear time algorithm to compute the equilibrium and study…

Computer Science and Game Theory · Computer Science 2020-09-29 Tao Jiang , Young-San Lin , Thanh Nguyen

We propose a model of incentives for data pricing in large mobile networks, in which an operator wishes to balance the number of connections (active users) of different classes of users in the different cells and at different time instants,…

Optimization and Control · Mathematics 2019-01-09 Marianne Akian , Mustapha Bouhtou , Jean Bernard Eytard , Stéphane Gaubert

This work proposes to model the space environment as a stochastic dynamic network where each node is a group of objects of a given class, or species, and their relationship is represented by stochastic links. A set of stochastic dynamic…

Dynamical Systems · Mathematics 2025-05-23 Yirui Wang , Pietro De Marchi , Massimiliano Vasile

In this paper, we consider microgrids that interconnect prosumers with distributed energy resources and dynamic loads. Prosumers are connected through the microgrid to trade energy and gain profit while respecting the network constraints.…

Systems and Control · Electrical Eng. & Systems 2024-02-07 Zeinab Salehi , Yijun Chen , Ian R. Petersen , Elizabeth L. Ratnam , Guodong Shi

Internet platforms' traffic defines important characteristics of platforms, such as price of services, advertisements, speed of operations. The traffic is usually estimated with the help of the traditional time series models (ARIMA,…

Physics and Society · Physics 2020-02-14 Victoria Rayskin

With the rapid development of the internet and the explosion of information, providing users with accurate personalized recommendations has become an important research topic. This paper designs and analyzes a personalized recommendation…

Information Retrieval · Computer Science 2024-10-15 Chunyan Mao , Shuaishuai Huang , Mingxiu Sui , Haowei Yang , Xueshe Wang

This paper proposes a novel tariff scheme and a new optimization framework in order to address the recovery of fixed investment costs in transmission network planning, particularly against rising demand elasticity. At the moment, ex-post…

Systems and Control · Electrical Eng. & Systems 2019-11-12 Iacopo Savelli , Antonio De Paola , Furong Li

In the evolving landscape of digital commerce, adaptive dynamic pricing strategies are essential for gaining a competitive edge. This paper introduces novel {\em doubly nonparametric random utility models} that eschew traditional parametric…

Methodology · Statistics 2024-06-11 Elynn Chen , Xi Chen , Lan Gao , Jiayu Li

Renewable energy brings huge uncertainties to the power system, which challenges the traditional power system operation with limited flexible resources. One promising solution is to introduce dynamic pricing to more consumers, which, if…

Systems and Control · Electrical Eng. & Systems 2019-11-19 Jiaman Wu , Zhiqi Wang , Yang Yu , Chenye Wu

Network virtualization enables Internet service providers to run multiple heterogeneous and dedicated network architectures for different customers on a shared substrate. In existing works on virtual network embedding (VNE), each customer…

Networking and Internet Architecture · Computer Science 2023-07-13 Jiangnan Cheng , Yingjie Bi , Ao Tang