In this paper, we propose a parametric optimization approach to estimate ti
me-dependent path flows, or origin-destination (OD) trip tables, using avai
lable data on link traffic volumes for a general road network. Our model as
sumes knowledge of certain time-dependent link flow contribution factors th
at are a dynamic generalization of the path-link incidence matrix for the s
tatic case. A least squares model is accordingly formulated to determine th
e time-dependent trip tables. We develop a column generation approach that
uses a sequence of dynamic shortest path subproblems in order to solve this
problem. Computational results are presented on several variants of two sa
mple test networks from the literature. (C) 2001 Elsevier Science Ltd. All
rights reserved.