scholarly journals Dynamic traffic assignment approximating the kinematic wave model: System optimum, marginal costs, externalities and tolls

2012 ◽  
Vol 46 (5) ◽  
pp. 634-648 ◽  
Author(s):  
Malachy Carey ◽  
David Watling
Keyword(s):  
Traffic Assignment ◽  
Dynamic Traffic Assignment ◽  
Wave Model ◽  
Model System ◽  
Kinematic Wave ◽  
Dynamic Traffic ◽  
System Optimum ◽  
Marginal Costs ◽  
Kinematic Wave Model

scholarly journals A Mixed Integer Linear Program for the Single Destination System Optimum Dynamic Traffic Assignment Problem with Physical Queue

2012 ◽  
Vol 22 (4) ◽  
pp. 245-249 ◽  
Author(s):  
Shuguang Li ◽  
Qing-Hua Zhou ◽  
Yongfeng Ju
Keyword(s):  
Assignment Problem ◽  
Traffic Assignment ◽  
Dynamic Traffic Assignment ◽  
Dynamic Network ◽  
Linear Program ◽  
Mixed Integer ◽  
Dynamic Traffic ◽  
System Optimum ◽  
Mixed Integer Linear Program ◽  
Traffic Assignment Problem

In order to solve the system optimum dynamic traffic assignment problem, the whole link model with physical queue is used to formulate the single destination system optimum dynamic traffic assignment problem as a mixed linear program. A relationship between the cumulative curves and the wave speed presented by Newell (1993) is used to present a dynamic network model in considering spillback queue. And nonlinear constrains are relaxed into mixed linear constrains; the linear program software is used to solve the system optimum dynamic traffic assignment problem. A numerical example illustrates the simplicity and applicability of the proposed approach. KEYWORDS: Dynamic System Optimum Traffic Assignment; physical queue; mixed integer linear programming

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