Sentence examples for transportation equilibrium from inspiring English sources

These have been extended and generalized to study a wide class of problems arising in mechanics, physics, optimization and control, economics and transportation equilibrium, and so forth.

The generalized variational inequalities find application in economics and transportation equilibrium, engineering sciences, etc. and have received much attention in the past decades [3 11].

As we know, variational inequality theory plays an important role in many fields, such as optimal control, mechanics, economics, transportation equilibrium, engineering sciences.

Variational inclusion problems are interesting and intensively studied classes of mathematical problems and have wide applications in the field of optimization and control, economics and transportation equilibrium, and engineering sciences, etc., see for example [1 7].

They are a very powerful tool of the current mathematical technology and have been extended to study a considerable amount of problems arising in mechanics, physics, optimization and control, nonlinear programming, transportation equilibrium and engineering sciences (see, e.g., [2 4]).

It is well known that the problem (1.1) is among the most interesting and intensively studied classes of mathematical problems and has wide applications in the fields of optimization and control, economics and transportation equilibrium, engineering science, and many others.

The numerical experiments indicate that the proposed model can be applied to solve various user equilibrium transportation problems efficiently.

Trip generation, modal share, transportation supply and equilibrium between supply and demand were the key modules of the developed model.

In this paper, we establish a bi-level optimization model for the equilibrium transportation problem concerning both capacity expansion and road toll pricing under the user equilibrium conditions.

Numerical experiments show that the proposed method is practical in solving user equilibrium transportation problems with capacity expansion combining road toll pricing.

Still, optimization of transportation supply under equilibrium assumption may not guarantee that an effective solution is obtained; indeed the system may not evolve towards the equilibrium state, if this state is not stable.