Abstract
A multiclass simultaneous transportation equilibrium model (MSTEM) explicitly distinguishes between different user classes in terms of socioeconomic attributes, trip purpose, pure and combined transportation modes, as well as departure time, all interacting over a physically unique multimodal network. It enhances the prediction process behaviorally by combining the trip generation and departure time choices to trip distribution, modal split, and trip assignment choices in a unified and flexible framework that has many advantages from both supply and demand sides. However, the development of this concept of multiple classes increases the mathematical complexity of travel forecasting models. In this research, the authors reduce this mathematical complexity by using the supernetwork representation formulation of the diagonalized MSTEM as a fixed demand user equilibrium (FDUE) problem.
Highlights
Transportation planning models have evolved through different approaches that can be classified as follows: Sequential Approach: This approach has been applied to hundreds of transportation studies throughout the world for 60 years
Safwat and Magnanti (1988) further enriched the behavioral features of the equivalent optimization approach to include trip generation. In their model trip generation can depend upon the performance of the system through an accessibility measure that is based on the random utility theory of users’ behavior, and trip distribution is given by a more flexible logit model based on the random utility theory
This paper is organized as follows: The following section illustrates the multiclass simultaneous transportation equilibrium model (MSTEM) modeling procedure; the third section provides a detailed formulation of the equivalent convex program (ECP) of the MSTEM as a fixed demand user equilibrium (FDUE) problem that can be solved by a greedy path-based algorithm for traffic assignment (Xie et al 2018) and offer a proof that this FDUE is equivalent to the diagonalized MSTEM; the fourth section presents future research directions; the fifth sectionsummarizes the study and provides conclusions
Summary
Transportation planning models have evolved through different approaches that can be classified as follows:. Sequential Approach: This approach has been applied to hundreds of transportation studies throughout the world for 60 years. It views transportation planning as a sequential process, often with four stages: trip generation, trip distribution, modal split, and trip assignment (Hasan & Al-Qaheri, 2013). This sequential approach has several inherent weakness (Tatineni et al, 1994).
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More From: International Journal of Operations Research and Information Systems
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