A multi-class multi-mode variable demand network equilibrium model with hierarchical logit structures.

*(English)* Zbl 1048.90039
Gendreau, Michel (ed.) et al., Transportation and network analysis: current trends. Miscellanea in honor of Michael Florian. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-0488-5). Appl. Optim. 63, 119-133 (2002).

Summary: We consider a multi-class multi-mode variable demand network equilibrium model where the mode choice model is given by aggregate hierarchical logit structures and the destination choice is specified as a multi-proportional entropy type trip distribution model. The travel time of transit vehicles depends on the travel time of other vehicles using the road network. A variational inequality formulation captures all the model components in an integrated form. A solution algorithm, based on a Block Gauss-Seidel decomposition approach coupled with the method of successive averages results in an efficient algorithm which successively solves network equilibrium models with fixed demands and multi-dimensional trip distribution models. Numerical results obtained with an implementation of the model with the EMME/2 software package are presented based on data originating from the city of Santiago, Chile.

##### MSC:

90B10 | Network models, deterministic (optimization) |

90C47 | Minimax problems |