Estimation of Origin-Destination Matrices: Relationship Between Practical and Theoretical Considerations
Abstract
A comprehensive overview of the entire class of formulations and most recognized solutions for estimating origin–destination (O-D) demand tables is presented. Specifically, trip distribution formulations are compared with less-known synthetic O-D estimation solution techniques. It is demonstrated that the trip distribution gravity model is nothing but a subset of the maximum-likelihood solution to the synthetic O-D problem. Finally, a numerical solution to the maximum-likelihood synthetic O-D problem is proposed that overcomes the shortcomings of the state-of-practice formulations. The proposed solution, which has been implemented in QueensOD software, does not require flow continuity at the network nodes, as is the case for most formulations. The latest version of QueensOD can be shown to yield results consistent with standard equation solvers (Excel and MATLAB) and with exhaustive enumeration, for small networks, for which all three methods are feasible. However, QueensOD has also been applied to networks with more than 1,000 zones and 5,000 links on a personal computer, typically requiring no more than 1 h to solve problems of this size. The solutions obtained by QueensOD reflect multipath routings, consider correctly that the total number of trips in the network may not be constant, and properly reflect the role of the seed matrix. The model can also be applied to deal with problems in which the routes are not known a priori.
Get full access to this article
View all access and purchase options for this article.
References
1. Willumsen L. G. Estimation of an O-D Matrix from Traffic Counts: A Review. Working Paper No. 99. Institute for Transport Studies, Leeds University, Leeds, United Kingdom, 1978.
2. Van Zuylen J. H., and Willumsen L. G. The Most Likely Trip Matrix Estimated from Traffic Counts. Transportation Research B, Vol. 14, 1980, pp. 281–293.
3. Gur Y. J., Tunquist M., Schneider M., Leblanc L., and Kurth D. Estimation of an Origin-Destination Trip Table Based on Observed Volumes and Turning Movements. FHWA/RD-80/034. FHWA, U.S. Department of Transportation, Washington, D.C., 1980.
4. QueensOD© Release 2.10 User’s Guide: Estimating Origin Destination Traffic Demands from Link Flows. M. Van Aerde & Associates, Ltd., Ontario, Canada, 2002.
5. Wilson A. G. Entropy in Urban and Regional Modelling. Pion, London, 1970.
6. Willumsen L. G. Simplified Transport Models Based on Traffic Counts. Transportation, Vol. 10, 1981, pp. 257–278.
7. Willumsen L. G. Estimating Time-Dependent Trip Matrices from Traffic Counts. Proc., 9th International Symposium on Transportation and Traffic Theory, VNU Science Press, Utrecht, Netherlands, 1984, pp. 397–411.
8. Rakha H., Van Aerde M., Bloomberg L., and Huang X. Construction and Calibration of a Large-Scale Microsimulation Model of the Salt Lake Area. In Transportation Research Record 1644, TRB, National Research Council, Washington, D.C., 1998, pp. 93–102.
9. Rakha H., Medina A., Sin H., Dion F., Van Aerde M., and Jenq J. Traffic Signal Coordination Across Jurisdictional Boundaries: Field Evaluation of Efficiency, Energy, Environmental, and Safety Impacts. In Transportation Research Record: Journal of the Transportation Research Board, No. 1727, TRB, National Research Council, Washington, D.C., 2000, pp. 42–51.
Cite article
Cite article
Cite article
OR
Download to reference manager
If you have citation software installed, you can download article citation data to the citation manager of your choice
Information, rights and permissions
Information
Published In
Article first published: January 2003
Issue published: January 2003
Authors
Metrics and citations
Metrics
Journals metrics
This article was published in Transportation Research Record: Journal of the Transportation Research Board.
VIEW ALL JOURNAL METRICSArticle usage*
Total views and downloads: 94
*Article usage tracking started in December 2016
Altmetric
See the impact this article is making through the number of times it’s been read, and the Altmetric Score.
Learn more about the Altmetric Scores
Articles citing this one
Receive email alerts when this article is cited
Web of Science: 0
Crossref: 33
- CQDFormer: Cyclic Quasi-Dynamic Transformers for Hourly Origin-Destina...
- Origin-destination inference in public transportation systems: A compr...
- Multi-objective Eco-Routing Model Development and Evaluation for Batte...
- Studying the Impact of Passenger Ride Choices on Passenger and Bus Tra...
- INTEGRATION Large-Scale Modeling Framework of Direct Cellular Vehicle-...
- Dynamic Origin-Destination Matrix Estimation Based on Urban Rail Trans...
- Preliminary Investigation of COVID-19 Impact on Transportation System ...
- A novel approach for estimation of dynamic from static origin–destinat...
- Constructing a Network Fundamental Diagram: Synthetic Origin–Destinati...
- A Novel Decentralized Game-Theoretic Adaptive Traffic Signal Controlle...
- City-Level Agent-Based Multi-modal Modeling of Transportation Networks...
- Estimation of sparse O–D matrix accounting for demand volatility
- Origin-destination trip table estimation based on subarea network OD f...
- Two Methods to Calibrate the Total Travel Demand and Variability for a...
- Green Driver: Travel Behaviors Revisited on Fuel Saving and Less Emiss...
- Resilience frameworks instantiated to vehicular traffic applications
- A model for national freight flows, distribution centers, empty trucks...
- OD Matrices Network Estimation from Link Counts by Neural Networks
- Compare of the Estimation Method of Matrix Based on Maximum Entropy Mo...
- Estimation of Daily Vehicle Flows for Urban Freight Deliveries
- Development of an Adaptive Origin-Destination Estimation Methodology C...
- Adaptive-filtering based dynamic OD matrix estimation
- Modeling framework for the evaluation of alternative truck lane manage...
- Modelling peak-hour urban freight movements with limited data availabi...
- How efficient is city logistics? Estimating ecological footprints for ...
- Norm approximation method for handling traffic count inconsistencies i...
- Modeling Freight Delivery Flows: Missing Link of Urban Transport Analy...
- Traffic Networks: Dynamic Traffic Routing, Assignment, and Assessment
- Dynamic Traffic Routing, Assignment, and Assessment of Traffic Network...
- System Wide Data Quality Control of Inductance Loop Data Using Nonline...
- Comparison of Static Maximum Likelihood Origin-destination Formulation...
- Evaluation of Potential Transit Signal Priority Benefits along a Fixed...
- Integration Modeling Framework for Estimating Mobile Source Emissions
Figures and tables
Figures & Media
Tables
View Options
Get access
Access options
If you have access to journal content via a personal subscription, university, library, employer or society, select from the options below:
loading institutional access options
Alternatively, view purchase options below:
Purchase 24 hour online access to view and download content.
Access journal content via a DeepDyve subscription or find out more about this option.
