Abstract
This paper studies dynamic network models in which congestion takes the form of queuing behind bottlenecks. The three models in consideration, the point queue (P-Q) model, the spatial queue (S-Q) model and the cell transmission model, all deal with queues caused by temporal bottlenecks, yet differ with each other in describing the S-Q characteristics. Our work focuses on exploring the impacts of spatial distribution of queues on the result of dynamic network loading (DNL). For this purpose, simple node models (merge and diverge) are introduced to describe flow interactions across links.We present a numerical solution algorithm to the DNL problem which accommodates the three models in a general framework. Analytical solutions are derived for simple cases and agree with numerical results. Our limited experiments indicate that P-Q and S-Q may severely underestimate network travel costs under DNL, particularly when queue spillback prevails.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 33-51 |
| Number of pages | 19 |
| Journal | Transportmetrica B |
| Volume | 1 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2013 |
Funding
We wish to thank Kai Nagel for pointing out to us the MASIM simulation package, which used a form of the S-Q model developed in Gawron (1998) that was unknown to us when an earlier draft of this paper was prepared and presented at the Transportation Research Board annual meeting.This research was partially funded by the National Science Foundation under grant number CMS 998423. The authors assume full responsibility for the content of this paper.
Keywords
- Cell transmission model
- Dynamic network loading
- Point queue model
- Spatial queue model
ASJC Scopus subject areas
- Software
- Modeling and Simulation
- Transportation