Linear complementarity formulation for single bottleneck model with heterogeneous commuters

Linear complementarity formulation for single bottleneck model with heterogeneous commuters

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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: , , ,
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.

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