Year: 2021
Type: article
Abstract: This study establishes Markovian traffic equilibrium assignment based on the network generalized extreme value (NGEV) model, which we call NGEV equilibrium assignment. The use of the NGEV model for route choice modeling has recently been proposed, and it enables capturing the path correlation without explicit path enumeration. However, the theoretical properties of the model in traffic assignment have yet to be investigated in the literature, which has limited the practical applicability of the NGEV model in the traffic assignment field. This study addresses the research gap by providing the theoretical developments necessary for the NGEV equilibrium assignment. We first show that the NGEV assignment can be formulated and solved under the same path algebra as the traditional Markovian traffic assignment models. Moreover, we present the equivalent optimization formulations to the NGEV equilibrium assignment. The formulations allow us to derive both primal and dual types of efficient solution algorithms. In particular, the dual algorithm is based on the accelerated gradient method that is for the first time applied in the traffic assignment. The numerical experiments showed the excellent convergence and complementary relationship of the proposed primal and dual algorithms.
Authors: Yuki Oyama, Yusuke Hara, Takashi Akamatsu
Language: English
Subfield: Transportation
Field: Social Sciences
Domain: Social Sciences
Open Access status: hybrid
Estimated APC paid: $3,170
Awards: Belief Design Approach for Mitigating Traffic Congestion, Urban Space Reallocation: A Network Design Approach, Mechanism Design of Market-based Matching Systems for Improving the Efficiency of Transport and Logistics Systems, Multi-scale hierarchical congestion cotrol strategies based on stability properties of dya-to-day traffic flow patterns in metropolitan express networks
OpenAlex ID: W3083340399