Article ID: | iaor2010511 |
Volume: | 44 |
Issue: | 2 |
Start Page Number: | 193 |
End Page Number: | 214 |
Publication Date: | Feb 2010 |
Journal: | Transportation Research Part B |
Authors: | Pang Jong-Shi, Ramadurai Gitakrishnan, Ukkusuri Satish V, Zhao Jinye |
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.