Journal article
Path-Based Formulations for the Design of On-demand Multimodal Transit Systems with Adoption Awareness
INFORMS journal on computing, Vol.36(6), pp.1459-1480
11/2024
DOI: 10.1287/ijoc.2023.0014
Abstract
This paper reconsiders the On -Demand Multimodal Transit Systems (ODMTS) Design with Adoptions problem (ODMTS-DA) to capture the latent demand in on -demand multimodal transit systems. The ODMTS-DA is a bilevel optimization problem, for which Basciftci and Van Hentenryck proposed an exact combinatorial Benders decomposition. Unfortunately, their proposed algorithm only finds high -quality solutions for medium-sized cities and is not practical for large metropolitan areas. The main contribution of this paper is to propose a new path -based optimization model, called P -PATH, to address these computational difficulties. The key idea underlying P -PATH is to enumerate two specific sets of paths which capture the essence of the choice model associated with the adoption behavior of riders. With the help of these path sets, the ODMTSDA can be formulated as a single -level mixed -integer programming model. In addition, the paper presents preprocessing techniques that can reduce the size of the model significantly. P -PATH is evaluated on two comprehensive case studies: the midsize transit system of the Ann Arbor - Ypsilanti region in Michigan (which was studied by Basciftci and Van Hentenryck) and the large-scale transit system for the city of Atlanta. The experimental results show that P -PATH solves the Michigan ODMTS-DA instances in a few minutes, bringing more than two orders of magnitude improvements compared with the existing approach. For Atlanta, the results show that P -PATH can solve large-scale ODMTS-DA instances (about 17 millions variables and 37 millions constraints) optimally in a few hours or in a few days. These results show the tremendous computational benefits of P -PATH which provides a scalable approach to the design of on -demand multimodal transit systems with latent demand.
Details
- Title: Subtitle
- Path-Based Formulations for the Design of On-demand Multimodal Transit Systems with Adoption Awareness
- Creators
- Hongzhao Guan - Georgia Institute of TechnologyBeste Basciftci - University of IowaPascal Van Hentenryck - Georgia Institute of Technology
- Resource Type
- Journal article
- Publication Details
- INFORMS journal on computing, Vol.36(6), pp.1459-1480
- Publisher
- Informs
- DOI
- 10.1287/ijoc.2023.0014
- ISSN
- 1091-9856
- eISSN
- 1526-5528
- Number of pages
- 23
- Grant note
- 69A3552047141 / Tier 1 University Transportation Center (UTC): Transit-Serving Communities Optimally, Responsively, and Efficiently (T-SCORE) from the U.S. Department of Transportation 1854684 / National Science Foundation Leap-HI
- Language
- English
- Electronic publication date
- 03/28/2024
- Date published
- 11/2024
- Academic Unit
- Business Analytics
- Record Identifier
- 9984584873602771
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