SENSITIVITY ANALYSIS OF OPTIMAL STATIC TRAFFIC ASSIGNMENT IN A FREEWAY CORRIDOR SYSTEM
The sensitivity analysis of a traffic assignment in a special class of transportation networks is considered. The traffic is assigned according to a nonlinear programming problem and the network consists of a freeway, one or more parallel roads, and connecting entrance and exit ramps. Dynamic programming is shown to be an appropriate tool for this problem, and the solution has a particularly compact form. It is shown that the mathematical statement of this problem may be transformed into that of a discrete time linear system by eliminating redundant equations and variables. It is also shown that there is an important physical meaning to the controllability of this system: if the reduced system is controllable, then the effect of a traffic incident is local, and does not affect the traffic distribution far from the incident. Numerical examples are discussed.
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Supplemental Notes:
- Proceedings of the Joint Automotive Control Conference, San Francisco, California, June 22-24, 1977.
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Corporate Authors:
Institute of Electrical and Electronics Engineers (IEEE)
3 Park Avenue, 17th Floor
New York, NY United States 10016-5997 -
Authors:
- Gershwin, S B
- Dersin, P
- Athans, M
- Conference:
- Publication Date: 1977
Media Info
- Features: References;
- Pagination: p. 451-465
Subject/Index Terms
- TRT Terms: Analysis; Dynamic programming; Freeways; Highway traffic control; Interchange ramps; Mathematical models; Networks; Optimization; Sensitivity; Traffic assignment; Traffic control; Traffic incidents; Transportation corridors
- Uncontrolled Terms: Incidents
- Old TRIS Terms: Freeway entrances and exits
- Subject Areas: Highways; Operations and Traffic Management; Terminals and Facilities;
Filing Info
- Accession Number: 00172496
- Record Type: Publication
- Source Agency: Engineering Index
- Report/Paper Numbers: Cat No 77CH 1220-3CSProceeding
- Files: TRIS
- Created Date: May 3 1978 12:00AM