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 …

Our problem of interest consists of minimizing a separable, convex and differentiable
function over a convex set, defined by bounds on the variables and an explicit constraint …

This monograph provides both a unified account of the development of models and methods
for the problem of estimating equilibrium traffic flows in urban areas and a survey of the …

An insightful, comprehensive, and up-to-date treatment of linear, nonlinear, and
discrete/combinatorial network optimization problems, their applications, and their analytical …

We present an origin-based algorithm for the traffic assignment problem, which is similar
conceptually to the algorithm proposed by Gallager and Bertsekas for routing in …

This paper takes a fresh look at the arguments against path-enumeration algorithms for the
traffic assignment problem and provides the results of a gradient projection method. The …

Well-founded traffic models recognize the individual network user's right to the decision as to
when, where and how to travel. On the other hand, the decisions concerning management …

Transport network capacity enhancement is a significant aspect of urban transport planning
and demand management, and a suitable measurement of the network capacity is of …

The static user-equilibrium (UE) traffic assignment model is widely used in practice. One
main computational challenge in this model is to obtain sufficiently precise solutions suitable …

As a means to obtain a more accurate description of traffic flows than that provided by the
basic model of traffic assignment, there have been suggestions to impose upper bounds on …