Fuzzy Dynamic Traffic Assignment Model

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Presentation transcript:

Fuzzy Dynamic Traffic Assignment Model Transportation Program, CEE Xuegang Ban Dec. 14, 2001

Introduction to Traffic Assignment Assign Traffic Flow to Links of The Network Given OD Assumption: Each Driver Tries to Minimize His Perceived Travel Time Characteristics: - Stochastic and Dynamic - Fuzziness of Driver’s Perception Over Travel Time

Fuzzy Sets of Perceived Link Travel Time Deterministic Link Travel Time Actual Link Travel Time Fuzzy Sets of Perceived Link Travel Time NORMAL CONGESTED INCIDENT CONSTRUCTION SPECIAL EVENTS Membership Functions for Fuzzy Sets of Perceived Link Travel Time

Fuzzy Sets of Perceived Path Travel Time Fuzzy Number Addition Problem Dubois and Prade’s method - Flattening, Decomposition, Operation * and Union Fuzzy Addition Illustration

Fuzzy Assignment S: Set of Shortest Paths Use Fuzzy Shortest Path Algorithm to Find S (Blue and Bush’s Method) S: Set of Shortest Paths Membership: : Traffic Flow from Origin O to Destination D : Traffic Flow in Path

Results Test Network: Link Properties: Link Number Start Node End Node Length (miles) Capacity (# of Vehi.) # of Lane 1 3 2.5 2200 2 4 5 6 7 8

Results (Cont.) — Scenario #1 Link # Flow from FDTA Flow from SDTA Flow difference(%) 1 1->3 36.35 37.57 3.25 2 1->4 38.65 37.43 3.26 3 3->5 4 4->5 5 5->6 40.91 41.86 2.27 6 5->7 34.09 33.14 2.87 7 6->2 8 7->2 All Links Are NORMAL Both SDTA/FDTA Can Solve This Problem Difference Is Less Than 4%

Results (Cont.) – Scenario #2 Link # Flow from FDTA 1 1->3 24.64 2 1->4 50.36 3 3->5 4 4->5 5 5->6 52.18 6 5->7 22.82 7 6->2 8 7->2 Link 1 and 6 Are CONGESTED All Other Links Are NORMAL FDTA Can Solve This Problem SDTA Cannot. Most of Drivers(70%) Will Choose 1->4->5->6->2(Link 2, 4, 5, 7)