The corridor problem with discrete multiple bottlenecks |
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Institution: | 1. School of Economics and Management, Beihang University, Beijing 100191, China;2. School of Traffic and Transportation Engineering, Central South University, Changsha 410075, China |
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Abstract: | This paper presents a transparent approach to the analysis of dynamic user equilibrium and clarifies the properties of a departure-time choice equilibrium of a corridor problem where discrete multiple bottlenecks exist along a freeway. The basis of our approach is the transformation of the formulation of equilibrium conditions in a conventional “Eulerian coordinate system” into one in a “Lagrangian-like coordinate system.” This enables us to evaluate dynamic travel times easily, and to achieve a deep understanding of the mathematical structure of the problem, in particular, about the properties of the demand and supply (queuing) sub-models, relations with dynamic system optimal assignment, and differences between the morning and evening rush problems. Building on these foundations, we establish rigorous results on the existence and uniqueness of equilibria. |
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Keywords: | Corridor problem Departure time choice equilibrium Complementarity problem Existence and uniqueness of equilibrium |
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