DYNAMIC EQUILIBRIUM ASSIGNMENT WITH QUEUES FOR A ONE-TO-MANY OD PATTERN.

Masao Kuwahara · Takashi Akamatsu

54 citations0/0 files stored

No readable copy stored yet — this record is metadata only.

No open-access location is known for this record yet.

Literature note Cite in a project Citation map

Transportation Planning and Optimization Traffic control and management Traffic Prediction and Management Techniques

Abstract

This research deals with the dynamic traffic assignment on an over saturated network for a one-to-many origin-destination pattern under the user equilibrium principle. The purpose of this study is to obtain time dependent cumulative arrival curves at each of the nodes explicitly taking into account the effects of queues given time dependent OD volumes; that is, the departure times of users are assumed to be known. We first show that the problem can be decomposed with respect to the starting time from an origin. It is then shown that the problem forms a loop structure, which is formulated as an extension of the static assignment using two kinds of unknowns, link flows and arrival times at nodes. The solution is proved to exist, provided that the link travel time is monotone increasing in the link flow. However, a unique solution is not generally guaranteed. An algorithm to obtain the solution is finally proposed and applied to a simple network.

Paper brief

Loading…

Cite this work

Citation unavailable for this work.

BibTeX RIS CSL-JSON

No public copy is stored for this record, so only the metadata is cited.

Citations in this library

Citation map →

Stored only when both papers are in the corpus — 54 citations exist upstream.

References

1989Dynamic Network Traffic Assignment Considered as a Continuous Time Optimal Control Problem 1980A Successive Linear Optimization Approach to the Dynamic Traffic Assignment Problem

Cited by

2001An Efficient Algorithm for Dynamic Traffic Equilibrium Assignment with Queues 2002A combined activity/travel choice model for congested road networks with queues 2013Properties of dynamic user equilibrium solution: existence, uniqueness, stability, and robust solution methodology 2003Detecting Dynamic Traffic Assignment Capacity Paradoxes in Saturated Networks 2015The corridor problem with discrete multiple bottlenecks 2011A Cumulative Perceived Value-Based Dynamic User Equilibrium Model Considering the Travelers’ Risk Evaluation on Arrival Time 2011Multiple equilibria in a dynamic traffic network 2021A new look at departure time choice equilibrium models with heterogeneous users

Explore the map →

Papers that cite the same references — the relational fallback while embeddings are still backfilling.

Imported from OpenAlex (CC0) — nothing here is generated.