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An analysis of instability in a departure time choice problem.
- Source :
-
Journal of Advanced Transportation . Jul2008, Vol. 42 Issue 3, p333-358. 26p. - Publication Year :
- 2008
-
Abstract
- This study performs a theoretical analysis of instability in a departure time choice problem. Stability of equilibrium is an important factor for reliability of travel time. If equilibrium is not stable, travel time changes over a period of days even if demand and network performance are stable. This study examines the stability of a dynamic user equilibrium problem by using the departure time choice problem. The mechanism of day-to-day changes in a traveller's behaviour is determined first, and then a function that indicates dissimilarity to equilibrium is defined. The day-to-day changes in the dissimilarity function are mathematically examined using approximations. A numerical test is also carried out to verify the result. Results of these analyses show that there can be a case where the system does not converge to equilibrium. It is also indicated that this instability should be caused by the non-monotonicity of the schedule cost. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01976729
- Volume :
- 42
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Advanced Transportation
- Publication Type :
- Academic Journal
- Accession number :
- 63461630
- Full Text :
- https://doi.org/10.1002/atr.5670420308