Dynamical systems coupled with monotone set-valued operators: Formalisms, applications, well-posedness, and stability
B Brogliato, A Tanwani - Siam Review, 2020 - SIAM
This survey article addresses the class of continuous-time systems where a system modeled
by ordinary differential equations is coupled with a static or time-varying set-valued operator …
by ordinary differential equations is coupled with a static or time-varying set-valued operator …
Well-posedness, optimal control, and sensitivity analysis for a class of differential variational-hemivariational inequalities
S Zeng, S Migórski, Z Liu - SIAM Journal on Optimization, 2021 - SIAM
The objective of the paper is to investigate a dynamical system called a differential
variational-hemivariational inequality (DVHVI) which couples an abstract variational …
variational-hemivariational inequality (DVHVI) which couples an abstract variational …
A class of differential hemivariational inequalities in Banach spaces
S Migórski, S Zeng - Journal of Global Optimization, 2018 - Springer
In this paper we investigate an abstract system which consists of a hemivariational inequality
of parabolic type combined with a nonlinear evolution equation in the framework of an …
of parabolic type combined with a nonlinear evolution equation in the framework of an …
A methodology for scheduling within‐day roadway work zones using deep neural networks and active learning
City infrastructure agencies routinely implement road projects that address various elements
of urban infrastructure. The majority of these projects are short‐term in nature (eg, utility …
of urban infrastructure. The majority of these projects are short‐term in nature (eg, utility …
Dynamic driving and routing games for autonomous vehicles on networks: A mean field game approach
This paper aims to answer the research question as to optimal design of decision-making
processes for autonomous vehicles (AVs), including dynamical selection of driving velocity …
processes for autonomous vehicles (AVs), including dynamical selection of driving velocity …
Computing dynamic user equilibria on large-scale networks with software implementation
K Han, G Eve, TL Friesz - Networks and Spatial Economics, 2019 - Springer
Dynamic user equilibrium (DUE) is the most widely studied form of dynamic traffic
assignment (DTA), in which road travelers engage in a non-cooperative Nash-like game …
assignment (DTA), in which road travelers engage in a non-cooperative Nash-like game …
Existence of simultaneous route and departure choice dynamic user equilibrium
This paper is concerned with the existence of the simultaneous route-and-departure choice
dynamic user equilibrium (SRDC-DUE) in continuous time, first formulated as an infinite …
dynamic user equilibrium (SRDC-DUE) in continuous time, first formulated as an infinite …
Continuum modeling of park-and-ride services considering travel time reliability and heterogeneous commuters–A linear complementarity system approach
This paper studies the modeling of multimodal choice in a highway/railway system with
continuum park-and-ride services along a corridor. Commuter heterogeneity and travel time …
continuum park-and-ride services along a corridor. Commuter heterogeneity and travel time …
A partial differential equation formulation of Vickrey's bottleneck model, part I: Methodology and theoretical analysis
This paper is concerned with the continuous-time Vickrey model, which was first introduced
in Vickrey (1969). This model can be described by an ordinary differential equation (ODE) …
in Vickrey (1969). This model can be described by an ordinary differential equation (ODE) …
A semi-analytical approach for solving the bottleneck model with general user heterogeneity
This paper proposes a novel semi-analytical approach for solving the dynamic user
equilibrium (DUE) of a bottleneck model with general heterogeneous users. The proposed …
equilibrium (DUE) of a bottleneck model with general heterogeneous users. The proposed …