A Multi-Objective Mathematical Programming Model for Transit Network Design and Frequency Setting Problem

In this study, we propose a novel multi-objective nonlinear mixed-integer mathematical programming model for the transit network design and frequency setting problem that aims at designing the routes and determining the frequencies of the routes to satisfy passenger demand in a transit network. The...

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Bibliographic Details
Published in:Mathematics (Basel) Vol. 11; no. 21; p. 4488
Main Authors: Benli, Abdulkerim, Akgün, İbrahim
Format: Journal Article
Language:English
Published: Basel MDPI AG 01.11.2023
Subjects:
Algorithms
Boarding
Commuting
Decision making
Design
Frequency setting
Integer programming
Local transit
Mathematical models
Mathematical programming
Mixed integer
Motor vehicle fleets
Multiple objective analysis
Network design
nonlinear mixed-integer programming
Passengers
Planning
public transport
Public transportation
Route selection
Scheduling
transit network route design and frequency setting problem
Transportation networks
Transportation planning
Travel
Travel demand
Travel time
urban public transportation
urban transit network design
Vehicles
Germany
ISSN:2227-7390, 2227-7390
Online Access:Get full text
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Summary:In this study, we propose a novel multi-objective nonlinear mixed-integer mathematical programming model for the transit network design and frequency setting problem that aims at designing the routes and determining the frequencies of the routes to satisfy passenger demand in a transit network. The proposed model incorporates the features of real-life transit network systems and reflects the views of both passengers and the transit agency by considering the in-vehicle travel time, transfers, waiting times at the boarding and transfer stops, overcrowding and under-utilization of vehicles, and vehicle fleet size. Unlike previous studies that simplify several aspects of the transit network design and frequency setting problem, the proposed model is the first to determine routes and their frequencies simultaneously from scratch, i.e., without using line and frequency pools while considering the aforementioned issues, such as transfers and waiting. We solve the proposed model using Gurobi. We provide the results of what-if analyses conducted using a real-world public bus transport network in the city of Kayseri in Türkiye. We also present the results of computational tests implemented to validate and verify the model using Mandl benchmark instances from the literature. The results indicate that the model produces better solutions than the state-of-the-art algorithms in the literature and that the model can be used by public transit planners as a decision aid.
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ISSN:2227-7390
2227-7390
DOI:10.3390/math11214488