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.
Keyword: mathematical programming; nonlinear mixed-integer programming; public transport; real-world application; transit network route design and frequency setting problem; urban public transportation; urban transit network design
Publication Name (dc.title) | A Multi-Objective Mathematical Programming Model for Transit Network Design and Frequency Setting Problem |
Author/s (dc.contributor.yazarlar) | Abdulkerim Benli, İbrahim Akgün |
Publication type (dc.type) | Makale |
Language (dc.language) | İngilizce |
Publication year (dc.date.issued) | 2023 |
National/International (dc.identifier.ulusaluluslararasi) | Uluslararası |
Source (dc.relation.journal) | Mathematics |
Number (dc.identifier.issue) | 21 |
Volume/Issue (dc.identifier.volume) | 11 |
Page (dc.identifier.startpage) | Article Number: 4488 |
ISSN/ISBN (dc.identifier.issn) | ISSN: 2227-7390 |
Publisher (dc.publisher) | MDPI, Switzerland |
Databases (dc.contributor.veritaban) | Web of Science Core Collection |
Databases (dc.contributor.veritaban) | MDPI |
Databases (dc.contributor.veritaban) | Scopus |
Index Type (dc.identifier.index) | SCI Expanded |
Index Type (dc.identifier.index) | Scopus |
Impact Factor (dc.identifier.etkifaktoru) | 2,4 / 2022-WOS / Son 5 yıl: 2,3 |
Abstract (dc.description.abstract) | 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. |
Abstract (dc.description.abstract) | Keyword: mathematical programming; nonlinear mixed-integer programming; public transport; real-world application; transit network route design and frequency setting problem; urban public transportation; urban transit network design |
URL (dc.rights) | https://www.mdpi.com/2227-7390/21.11.4488 |
DOI (dc.identifier.doi) | 10.3390/math11214488 |
Faculty / Institute (dc.identifier.fakulte) | Mühendislik Fakültesi |
Department (dc.identifier.bolum) | Endüstri Mühendisliği Bölümü |
Author(s) in the Institution (dc.contributor.author) | İbrahim AKGÜN |
Kayıt No (dc.identifier.kayitno) | BLCE22E3CE |
Record Add Date (dc.date.available) | 2023-11-23 |
Notes (Publication year) (dc.identifier.notyayinyili) | November 2023 |
Wos No (dc.identifier.wos) | WOS:001099588800001 |
Subject Headings (dc.subject) | mathematical programming |
Subject Headings (dc.subject) | nonlinear mixed-integer programming |
Subject Headings (dc.subject) | public transport |
Subject Headings (dc.subject) | real-world application |
Subject Headings (dc.subject) | transit network route design and frequency setting problem |
Subject Headings (dc.subject) | urban public transportation |
Subject Headings (dc.subject) | urban transit network design |