00622246

Component

http://onlinepubs.trb.org...trr/1991/1328/1328-010.pdf

https://scholar.google.co...+Wie&publication_year=1991

An equivalent continuous time optimal control problem is formulated for dynamic user-optimized traffic assignment with elastic travel demand. Using the Pontryagin minimum principle, optimality conditions are derived and economic interpretations that correspond to a dynamic generalization of Wardrop's first principle are provided. The existence and optimality of singular controls are examined. Under steady-state assumptions, the model is shown to be a proper dynamic extension of Beckmann's equivalent optimization problem for static user-optimized traffic assignment with elastic demand. Finally, limitations and extensions of the present model are discussed.

This paper appears in Transportation Research Record No. 1328, Travel Demand Forecasting: New Methodologies and Travel Behavior Research 1991. Distribution, posting, or copying of this PDF is strictly prohibited without written permission of the Transportation Research Board of the National Academy of Sciences. Unless otherwise indicated, all materials in this PDF are copyrighted by the National Academy of Sciences. Copyright © National Academy of Sciences. All rights reserved

01407165

p. 81-87

1991

Transportation Research Record

0309051614

References (19)

Dynamic tests; Elasticity (Mechanics); Network analysis (Planning); Optimization; Traffic assignment; Travel demand

Dynamic analysis; Equilibrium models; Network flows

Highways; Operations and Traffic Management; I71: Traffic Theory

TRIS, TRB, ATRI

May 31 1992 12:00AM

• CIRCULATOR/DISTRIBUTOR MODEL FOR THE CHICAGO CENTRAL AREA
• CONVERGENT ALGORITHM FOR DYNAMIC TRAFFIC ASSIGNMENT
• EVALUATING THE SENSITIVITY OF TRAVEL DEMAND FORECASTS TO LAND USE INPUT ERRORS
• FORECASTING INTERCITY RAIL RIDERSHIP USING REVEALED PREFERENCE AND STATED PREFERENCE DATA
• FORECASTING SHORT-TERM DEMAND FOR EMPTY CONTAINERS: A CASE STUDY
• MULTICRITERIA DECISION MAKING IN LOCATION MODELING
• ROUTE-SPECIFIC AND TIME-OF-DAY DEMAND ELASTICITIES
• SOCIOECONOMICS OF THE INDIVIDUAL AND THE COSTS OF DRIVING: NEW EVIDENCE FOR TRAVEL DEMAND MODELER
• STOCHASTIC PROCESS APPROACH TO THE ESTIMATION OF ORIGIN-DESTINATION PARAMETERS FROM TIME SERIES OF TRAFFIC COUNTS
• TRIP CHARACTERISTICS AND TRAVEL PATTERNS OF SUBURBAN RESIDENTS
• TRIP GENERATION PROCEDURE FOR AREAS WITH STRUCTURALLY DIFFERENT SOCIOECONOMIC GROUPS