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Title:

Non-Unique Solutions of User-Equilibrium Assignments and Their Practical Implications

Accession Number:

01046973

Record Type:

Component

Availability:

Transportation Research Board Business Office

500 Fifth Street, NW
Washington, DC 20001 United States

Abstract:

The user-equilibrium (UE) assignment is widely used in predictions of travel on roadway systems. It is well known, that under appropriate assumptions, total link flows are uniquely determined by the UE assumption, but route flows are not. Route flows have become increasingly important in practical applications as the variety of analyses performed on traffic assignment results expands. The purpose of this paper is to examine the extent by which results of analyses may be influenced from this issue of non-uniqueness. As a case study, we use a medium size network for the roadway system in Israel. We employ a new assignment algorithm to obtain a precise UE solution, and to determine the set of UE routes in this solution. Random processes are used to generate 450 alternative route-flows UE solutions and 1000 alternative origin-based-link-flows solutions. The effects of differences among solutions are analyzed at the route level and for two types of applications: "select link" analysis and license plates surveys. The results show that for almost every OD pair with multiple UE routes the route flows are nearly completely arbitrary. Substantial arbitrariness remains in aggregate analyses as well; for example for 9% of the links the origin cannot be determined for at least half of the flow.

Monograph Accession #:

01042056

Report/Paper Numbers:

07-1335

Language:

English

Corporate Authors:

Transportation Research Board

500 Fifth Street, NW
Washington, DC 20001 United States

Authors:

Bar-Gera, Hillel
Luzon, Amos

Pagination:

14p

Publication Date:

2007

Conference:

Transportation Research Board 86th Annual Meeting

Location: Washington DC, United States
Date: 2007-1-21 to 2007-1-25
Sponsors: Transportation Research Board

Media Type:

CD-ROM

Features:

Figures (9) ; References (6) ; Tables (2)

Uncontrolled Terms:

Geographic Terms:

Subject Areas:

Highways; Planning and Forecasting; I72: Traffic and Transport Planning

Source Data:

Transportation Research Board Annual Meeting 2007 Paper #07-1335

Files:

TRIS, TRB

Created Date:

Feb 8 2007 5:56PM