Name
Title | ||
|---|---|---|
A hierarchical optimization problem: Estimating traffic flow using Gamma random variables in a Bayesian context |
Abstract | ||
|---|---|---|
In this paper a hierarchical optimization problem generated by a Bayesian method to estimate origin-destination matrices, based on Gamma models, is given. The problem can be considered as a system of equations in which three of them are optimization problems: (1) a Wardrop minimum variance (WMV) assignment model, which is used to derive the route choice probabilities, (2) a least squares problem, used to obtain the OD sample data, and (3) a maximum likelihood problem to estimate the posterior modes. A multi-level iterative approach is proposed to solve the multi-objective problem that converges in a few iterations. Finally, two examples of applications are used to illustrate the proposed methods and procedures, a simple and the medium size Ciudad Real networks. A comparison with existing techniques, which provide similar flows, seems to validate the proposed methods. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.cor.2012.04.011 | Computers & OR |
Keywords | DocType | Volume |
Ciudad Real network,maximum likelihood problem,Bayesian context,Estimating traffic flow,proposed method,Bayesian method,hierarchical optimization problem,OD sample data,optimization problem,squares problem,Gamma random variable,Gamma model,multi-objective problem | Journal | 41, |
ISSN | Citations | PageRank |
0305-0548 | 5 | 0.48 |
References | Authors | |
9 | 5 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Enrique Castillo | 1 | 555 | 59.86 |
| José María Menéndez | 2 | 109 | 8.16 |
| Santos Sánchez-Cambronero | 3 | 79 | 6.52 |
| Aida Calvino | 4 | 68 | 5.66 |
| José María Sarabia | 5 | 36 | 7.61 |