Linear complementarity formulation for single bottleneck model with heterogeneous commuters

Gitakrishnan Ramadurai, Satish V. Ukkusuri, Jinye Zhao and Jong-Shi Pang

Transportation Research Part B: Methodological, 2010, vol. 44, issue 2, 193-214

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.

Keywords: Single; bottleneck; model; Dynamic; traffic; equilibrium; Complementarity; formulation; Heterogeneous; commuters; Uniqueness (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (30)

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