Open Access
Mathematical programming algorithms for large scale network equilibrium and network design problems.
About:
The article was published on 1973-01-01 and is currently open access. It has received 103 citations till now. The article focuses on the topics: Network simulation & Network planning and design.read more
Citations
More filters
Journal ArticleDOI
An overview of bilevel optimization
TL;DR: This paper presents fields of application, focus on solution approaches, and makes the connection with MPECs (Mathematical Programs with Equilibrium Constraints), a branch of mathematical programming of both practical and theoretical interest.
Journal ArticleDOI
An efficient approach to solving the road network equilibrium traffic assignment problem
TL;DR: In this article, the authors present a solution technique for large scale road network equilibrium assignment and related flow problems with nonlinear costs, without explicitly considering any of the constraints, and without storing all of the individual decision variables.
Journal ArticleDOI
An Algorithm for the Discrete Network Design Problem
TL;DR: A nonlinear mixed integer programming model is developed, and strategies for a branch-and-bound algorithm are presented for solving the problem of determining which links should be improved in an urban road network so that total congestion in the city is minimized.
Journal ArticleDOI
Equilibria on a Congested Transportation Network
TL;DR: In this article, an equilibrium model for predicting traffic flow on a congested transportation network is proposed and studied, which is quite similar to those that arise in most contexts of network equilibria, however, and the methods that are used are applicable in these other settings as well.
Journal ArticleDOI
A path-based user-equilibrium traffic assignment algorithm that obviates path storage and enumeration
TL;DR: A novel user-equilibrium traffic assignment algorithm, which under conventional assumptions, promises to compute UE arc flows to acceptable precision, regardless of the network's topology, size or congestion.