Network equilibrium models and algorithms

M Florian, D Hearn - Handbooks in operations research and management …, 1995 - Elsevier
Publisher Summary This chapter introduces the formulation, analysis and solution of the
network equilibrium model (NEM). In the sequel, the terminology used will be that …

[图书][B] Finite-dimensional variational inequalities and complementarity problems

F Facchinei, JS Pang - 2003 - Springer
Complementary to Chapter 11, the present chapter is devoted to the study of solution
methods for VIs that are of the monotone type and also for NCPs of the P 0 type. We already …

Finite-dimensional variational inequality and nonlinear complementarity problems: a survey of theory, algorithms and applications

PT Harker, JS Pang - Mathematical programming, 1990 - Springer
Over the past decade, the field of finite-dimensional variational inequality and
complementarity problems has seen a rapid development in its theory of existence …

Simplicial decomposition with disaggregated representation for the traffic assignment problem

T Larsson, M Patriksson - Transportation Science, 1992 - pubsonline.informs.org
The class of simplicial decomposition (SD) schemes has shown to provide efficient tools for
nonlinear network flows. When applied to the traffic assignment problem, shortest route …

Nonlinear cost network models in transportation analysis

M Florian - Netflow at Pisa, 1986 - Springer
The analysis of transportation phenomena by quantitative approaches naturally gives rise to
network models that represent the spatial characteristics of the transport infrastructure. This …

A combined trip generation, trip distribution, modal split, and trip assignment model

KN Ali Safwat, TL Magnanti - Transportation Science, 1988 - pubsonline.informs.org
Modeling of transportation systems must invariably balance behavioral richness and
computational tractability. In this paper, we develop a transportation equilibrium model and …

Computational experience in solving equilibrium models by a sequence of linear complementarity problems

L Mathiesen - Operations research, 1985 - pubsonline.informs.org
This paper presents a modeling format and a solution algorithm for partial and general
economic equilibrium problems. It reports on computational experience from a series of …

Communication and transportation network reliability using routing models

B Sansó, F Soumis - IEEE Transactions on Reliability, 1991 - ieeexplore.ieee.org
A general framework is presented for calculating a reliability measure for several types of
flow networks. This framework allows reliability analysis for complicated systems such as …

A decomposition scheme for parallelization of system optimal dynamic traffic assignment on urban networks with multiple origins and destinations

M Mehrabipour, L Hajibabai… - Computer‐Aided Civil …, 2019 - Wiley Online Library
This paper presents a decomposition scheme to find near‐optimal solutions to a cell
transmission model‐based system optimal dynamic traffic assignment problem with multiple …

[PDF][PDF] Solving asymmetric variational inequality problems and systems of equations with generalized nonlinear programming algorithms

JH Hammond - 1984 - dspace.mit.edu
The variational inequality problem is a general problem formulation that encompasses a
wide range of problems, including optimization problems, complementarity problems, fixed …