Computational Methods for Calculating Multimodal Multiclass Traffic Network Equilibrium: Simulation Benchmark on a Large-Scale Test Case

Table 1

List of notations used in this article.

Equilibrium model:
	OD pairs, subset of origin destination nodes, .
	Set of user classes.
	Set of paths for OD pair in departure time .
	Set of shortest paths for OD pair and class in departure time interval .
	Index of user class, .
	Index of departure time interval, .
	Index of origin-destination (OD) pair, .
	Index of path, .
	Index of shortest path for class , .
	Number of users in class from OD pair , assigned to path in departure time .
.	Optimal number of users in class from OD pair , assigned to path in departure time .
	Generalized cost of path for user class in departure time .
	Minimum generalized cost of OD pair for user class in departure time .
Optimization algorithms:
	Outer-loop iteration index.
	Inner-loop iteration index.
	Maximum number of outer-loop iterations.
	Maximum number of inner-loop iterations.
	The number of users in class on path in iteration .
	The set of shortest paths in iteration for class .
	The path flow distribution of the outer-loop iteration .
	The path flow distribution of the inner-loop iteration .
	The travel cost gap per user of the path flow distribution .
	The total travel cost gap of the path flow distribution .
	The total travel cost gap of the path flow distribution of OD pair in solution .
	The threshold for the exploration rate of the inner loop.
	The threshold for the convergence rate of the outer loop.