On a subproblem of trust region algorithms for constrained optimization
Mathematical Programming: Series A and B
Sensitivity analysis for variational inequalities defined on polyhedral sets
Mathematics of Operations Research
Projected Quasi-Newton algorithm with trust region for constrained optimization
Journal of Optimization Theory and Applications
Annals of Operations Research - Special issue on hierarchical optimization
A nonsmooth version of Newton's method
Mathematical Programming: Series A and B
Sensitivity Analysis of Traffic Equilibria
Transportation Science
Technical communique: Delay-range-dependent stability for systems with time-varying delay
Automatica (Journal of IFAC)
A new delay system approach to network-based control
Automatica (Journal of IFAC)
Brief paper: On the model-based approach to nonlinear networked control systems
Automatica (Journal of IFAC)
A bi-level programming for logistics network design with system-optimized flows
Information Sciences: an International Journal
Network-based robust H∞ control of systems with uncertainty
Automatica (Journal of IFAC)
Brief Networked control design for linear systems
Automatica (Journal of IFAC)
| Hi-index | 22.14 |
An area traffic control network system is considered in this paper. Optimal signal settings can be determined while trip rates and network flow are in equilibrium. This problem can be formulated as a nonlinear mathematical program with equilibrium constraints. For the objective function, the system performance can be defined as a function of signal setting variables. For the constraint set, a user equilibrium traffic assignment with elastic demand obeying Wardrop's first principle is formulated as a variational inequality problem. Due to the nonlinearity and non-differentiability of the perturbed solutions in equilibrium constraints, a non-smooth approach is investigated in this paper. Numerical tests are performed using a variety of example road networks to quantify the effectiveness and robustness of the proposed method.