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Linear complementarity formulation for single bottleneck model with heterogeneous commuters
- Source :
-
Transportation Research Part B: Methodological . Feb2010, Vol. 44 Issue 2, p193-214. 22p. - Publication Year :
- 2010
-
Abstract
- Abstract: This paper formulates the dynamic equilibrium conditions for a single bottleneck model with heterogeneous commuters as a linear complementarity problem. This novel formulation offers a formal framework for the rigorous study and solution of a single bottleneck model with general heterogeneity parameter assumptions, enabling the adoption of well established complementarity theory and methods to analyze the model, and providing a significant contribution to the existing literature that either lacks a rigorous formulation or solves the problem under a limited set of heterogeneity parameter assumptions. The paper presents theoretical proofs for solution existence and uniqueness, and numerical results and insights for different heterogeneity assumptions. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 01912615
- Volume :
- 44
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Transportation Research Part B: Methodological
- Publication Type :
- Academic Journal
- Accession number :
- 47148526
- Full Text :
- https://doi.org/10.1016/j.trb.2009.07.005