Optimal pricing and investment in a multi-modal city
Introducing the 3D-MFD network design problem
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Date
2019-12
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Working Paper
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Abstract
The three-dimensional macroscopic fundamental diagram (3D-MFD) is a physically consistent functional relationship between the accumulation of buses and cars and each modes average speed in an urban network that captures interactions among vehicles. The 3D-MFD network design problem (3D-MFD-NDP) builds upon advances in 3D-MFD estimation that explicitly link design variables of urban transportation networks to the shape of the 3D-MFD. This advancement allows to study investment effects in urban transport networks directly without separate traffic simulations.
The 3D-MFD-NDP aims to find the optimal investment in transport network infrastructure and pricing such that the behavioral response minimizes total travel time and system subsidy. Mathematically, the 3D-MFD-NDP is a bi-level optimization problem formulated as a mathematical problem with equilibrium constraints (MPEC). At the upper level, the design variables are road network length, bus service frequency, share of dedicated bus lanes, car and bus prices and the system’s subsidy. At the lower level, traffic distributes across modes and routes following Wardrop’s equilibrium principle. The 3D-MFD-NDP is applied to greater Zurich to study the effects of urban scale pricing and investment.
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1476
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IVT, ETH Zurich
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Subject
MPEC; MFD; Congestion; Bus; Pricing; Investment
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03521 - Axhausen, Kay W. (emeritus) / Axhausen, Kay W. (emeritus)
02655 - Netzwerk Stadt u. Landschaft ARCH u BAUG / Network City and Landscape ARCH and BAUG
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