A column-generation-based approach for solving the bus rapid transit route design problem
Bus rapid transit systems have been gaining popularity all over the world. They constitute an alternative for urban transportation systems by providing reserved lanes for buses and thus improving transportation times. Nonetheless, there are several intrinsic strategic and operational problems that n...
- Autores:
-
Cardona Ramírez, Ernesto
- Tipo de recurso:
- Trabajo de grado de pregrado
- Fecha de publicación:
- 2022
- Institución:
- Pontificia Universidad Javeriana
- Repositorio:
- Repositorio Universidad Javeriana
- Idioma:
- spa
- OAI Identifier:
- oai:repository.javeriana.edu.co:10554/59049
- Acceso en línea:
- http://hdl.handle.net/10554/59049
- Palabra clave:
- Bus rapid transit route design problem
Generación de columnas
Optimización combinatoria
Programación entera
Teoría de la complejidad computacional
Análisis de convexidad
Convex analysis
Complexity theory
Integer optimization
Combinatorial optimization
Bus rapid transit route design problem
Column generation
Matemáticas - Tesis y disertaciones académicas
Optimización combinatoria
Matemáticas
Combinaciones (Matemáticas)
Heurística
- Rights
- openAccess
- License
- Atribución-NoComercial-SinDerivadas 4.0 Internacional
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| dc.title.spa.fl_str_mv |
A column-generation-based approach for solving the bus rapid transit route design problem |
| dc.title.english.spa.fl_str_mv |
A column-generation-based approach for solving the bus rapid transit route design problem |
| title |
A column-generation-based approach for solving the bus rapid transit route design problem |
| spellingShingle |
A column-generation-based approach for solving the bus rapid transit route design problem Bus rapid transit route design problem Generación de columnas Optimización combinatoria Programación entera Teoría de la complejidad computacional Análisis de convexidad Convex analysis Complexity theory Integer optimization Combinatorial optimization Bus rapid transit route design problem Column generation Matemáticas - Tesis y disertaciones académicas Optimización combinatoria Matemáticas Combinaciones (Matemáticas) Heurística |
| title_short |
A column-generation-based approach for solving the bus rapid transit route design problem |
| title_full |
A column-generation-based approach for solving the bus rapid transit route design problem |
| title_fullStr |
A column-generation-based approach for solving the bus rapid transit route design problem |
| title_full_unstemmed |
A column-generation-based approach for solving the bus rapid transit route design problem |
| title_sort |
A column-generation-based approach for solving the bus rapid transit route design problem |
| dc.creator.fl_str_mv |
Cardona Ramírez, Ernesto |
| dc.contributor.advisor.none.fl_str_mv |
Ortiz Astorquiza, Camilo Gonzalez Jurado, Jaime |
| dc.contributor.author.none.fl_str_mv |
Cardona Ramírez, Ernesto |
| dc.contributor.evaluator.none.fl_str_mv |
Rocha, Caroline Novoa Ramírez, Jesús Fernando |
| dc.subject.spa.fl_str_mv |
Bus rapid transit route design problem Generación de columnas Optimización combinatoria Programación entera Teoría de la complejidad computacional Análisis de convexidad |
| topic |
Bus rapid transit route design problem Generación de columnas Optimización combinatoria Programación entera Teoría de la complejidad computacional Análisis de convexidad Convex analysis Complexity theory Integer optimization Combinatorial optimization Bus rapid transit route design problem Column generation Matemáticas - Tesis y disertaciones académicas Optimización combinatoria Matemáticas Combinaciones (Matemáticas) Heurística |
| dc.subject.keyword.spa.fl_str_mv |
Convex analysis Complexity theory Integer optimization Combinatorial optimization Bus rapid transit route design problem Column generation |
| dc.subject.armarc.spa.fl_str_mv |
Matemáticas - Tesis y disertaciones académicas Optimización combinatoria Matemáticas Combinaciones (Matemáticas) Heurística |
| description |
Bus rapid transit systems have been gaining popularity all over the world. They constitute an alternative for urban transportation systems by providing reserved lanes for buses and thus improving transportation times. Nonetheless, there are several intrinsic strategic and operational problems that need to be addressed. In this work we focus on developing mathematical and computational tools to support the problem of designing the routes to be operated on the system and their frequencies. This document is composed of two chapters. In the first chapter, we present the preliminary topics that are required to have a better understanding of the subsequent sections. This chapter is divided into four sections containing topics on convex analysis, Linear, Integer and Combinatorial Optimization, Solution Methodologies and Complexity Theory. In the second chapter, we present the main results of the capstone project in the format of a research article. In particular, we present the literature review, problem definition and a new formulation for the Bus Rapid Transit Route Design Problem. Then, we introduce a column-generation-based approach to solve large-scale instances of the LP relaxation of the formulation and show some computational experiments to test the proposed approach. |
| publishDate |
2022 |
| dc.date.accessioned.none.fl_str_mv |
2022-02-10T11:59:53Z |
| dc.date.available.none.fl_str_mv |
2022-02-10T11:59:53Z |
| dc.date.created.none.fl_str_mv |
2022-02-08 |
| dc.type.local.spa.fl_str_mv |
Tesis/Trabajo de grado - Monografía - Pregrado |
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http://purl.org/coar/resource_type/c_7a1f |
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info:eu-repo/semantics/bachelorThesis |
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http://purl.org/coar/resource_type/c_7a1f |
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http://hdl.handle.net/10554/59049 |
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instname:Pontificia Universidad Javeriana |
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reponame:Repositorio Institucional - Pontificia Universidad Javeriana |
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repourl:https://repository.javeriana.edu.co |
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http://hdl.handle.net/10554/59049 |
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instname:Pontificia Universidad Javeriana reponame:Repositorio Institucional - Pontificia Universidad Javeriana repourl:https://repository.javeriana.edu.co |
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spa |
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spa |
| dc.rights.licence.*.fl_str_mv |
Atribución-NoComercial-SinDerivadas 4.0 Internacional |
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http://creativecommons.org/licenses/by-nc-nd/4.0/ |
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info:eu-repo/semantics/openAccess |
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http://purl.org/coar/access_right/c_abf2 |
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PDF |
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Pontificia Universidad Javeriana |
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Matemáticas |
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Facultad de Ciencias |
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Atribución-NoComercial-SinDerivadas 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessDe acuerdo con la naturaleza del uso concedido, la presente licencia parcial se otorga a título gratuito por el máximo tiempo legal colombiano, con el propósito de que en dicho lapso mi (nuestra) obra sea explotada en las condiciones aquí estipuladas y para los fines indicados, respetando siempre la titularidad de los derechos patrimoniales y morales correspondientes, de acuerdo con los usos honrados, de manera proporcional y justificada a la finalidad perseguida, sin ánimo de lucro ni de comercialización. De manera complementaria, garantizo (garantizamos) en mi (nuestra) calidad de estudiante (s) y por ende autor (es) exclusivo (s), que la Tesis o Trabajo de Grado en cuestión, es producto de mi (nuestra) plena autoría, de mi (nuestro) esfuerzo personal intelectual, como consecuencia de mi (nuestra) creación original particular y, por tanto, soy (somos) el (los) único (s) titular (es) de la misma. Además, aseguro (aseguramos) que no contiene citas, ni transcripciones de otras obras protegidas, por fuera de los límites autorizados por la ley, según los usos honrados, y en proporción a los fines previstos; ni tampoco contempla declaraciones difamatorias contra terceros; respetando el derecho a la imagen, intimidad, buen nombre y demás derechos constitucionales. Adicionalmente, manifiesto (manifestamos) que no se incluyeron expresiones contrarias al orden público ni a las buenas costumbres. En consecuencia, la responsabilidad directa en la elaboración, presentación, investigación y, en general, contenidos de la Tesis o Trabajo de Grado es de mí (nuestro) competencia exclusiva, eximiendo de toda responsabilidad a la Pontifica Universidad Javeriana por tales aspectos. Sin perjuicio de los usos y atribuciones otorgadas en virtud de este documento, continuaré (continuaremos) conservando los correspondientes derechos patrimoniales sin modificación o restricción alguna, puesto que, de acuerdo con la legislación colombiana aplicable, el presente es un acuerdo jurídico que en ningún caso conlleva la enajenación de los derechos patrimoniales derivados del régimen del Derecho de Autor. De conformidad con lo establecido en el artículo 30 de la Ley 23 de 1982 y el artículo 11 de la Decisión Andina 351 de 1993, "Los derechos morales sobre el trabajo son propiedad de los autores", los cuales son irrenunciables, imprescriptibles, inembargables e inalienables. En consecuencia, la Pontificia Universidad Javeriana está en la obligación de RESPETARLOS Y HACERLOS RESPETAR, para lo cual tomará las medidas correspondientes para garantizar su observancia.http://purl.org/coar/access_right/c_abf2Ortiz Astorquiza, CamiloGonzalez Jurado, JaimeCardona Ramírez, ErnestoRocha, CarolineNovoa Ramírez, Jesús Fernando2022-02-10T11:59:53Z2022-02-10T11:59:53Z2022-02-08http://hdl.handle.net/10554/59049instname:Pontificia Universidad Javerianareponame:Repositorio Institucional - Pontificia Universidad Javerianarepourl:https://repository.javeriana.edu.coBus rapid transit systems have been gaining popularity all over the world. They constitute an alternative for urban transportation systems by providing reserved lanes for buses and thus improving transportation times. Nonetheless, there are several intrinsic strategic and operational problems that need to be addressed. In this work we focus on developing mathematical and computational tools to support the problem of designing the routes to be operated on the system and their frequencies. This document is composed of two chapters. In the first chapter, we present the preliminary topics that are required to have a better understanding of the subsequent sections. This chapter is divided into four sections containing topics on convex analysis, Linear, Integer and Combinatorial Optimization, Solution Methodologies and Complexity Theory. In the second chapter, we present the main results of the capstone project in the format of a research article. In particular, we present the literature review, problem definition and a new formulation for the Bus Rapid Transit Route Design Problem. Then, we introduce a column-generation-based approach to solve large-scale instances of the LP relaxation of the formulation and show some computational experiments to test the proposed approach.Bus rapid transit systems have been gaining popularity all over the world. They constitute an alternative for urban transportation systems by providing reserved lanes for buses and thus improving transportation times. Nonetheless, there are several intrinsic strategic and operational problems that need to be addressed. In this work we focus on developing mathematical and computational tools to support the problem of designing the routes to be operated on the system and their frequencies. This document is composed of two chapters. In the first chapter, we present the preliminary topics that are required to have a better understanding of the subsequent sections. This chapter is divided into four sections containing topics on convex analysis, Linear, Integer and Combinatorial Optimization, Solution Methodologies and Complexity Theory. In the second chapter, we present the main results of the capstone project in the format of a research article. In particular, we present the literature review, problem definition and a new formulation for the Bus Rapid Transit Route Design Problem. Then, we introduce a column-generation-based approach to solve large-scale instances of the LP relaxation of the formulation and show some computational experiments to test the proposed approach.Matemático (a)PregradoPDFapplication/pdfspaPontificia Universidad JaverianaMatemáticasFacultad de CienciasBus rapid transit route design problemGeneración de columnasOptimización combinatoriaProgramación enteraTeoría de la complejidad computacionalAnálisis de convexidadConvex analysisComplexity theoryInteger optimizationCombinatorial optimizationBus rapid transit route design problemColumn generationMatemáticas - Tesis y disertaciones académicasOptimización combinatoriaMatemáticasCombinaciones (Matemáticas)HeurísticaA column-generation-based approach for solving the bus rapid transit route design problemA column-generation-based approach for solving the bus rapid transit route design problemTesis/Trabajo de grado - Monografía - Pregradohttp://purl.org/coar/resource_type/c_7a1finfo:eu-repo/semantics/bachelorThesisLICENSElicense.txtlicense.txttext/plain; charset=utf-82603http://repository.javeriana.edu.co/bitstream/10554/59049/4/license.txt2070d280cc89439d983d9eee1b17df53MD54open accessORIGINALTesis___Ernesto-Cardona.pdfTesis___Ernesto-Cardona.pdfDocumentoapplication/pdf619285http://repository.javeriana.edu.co/bitstream/10554/59049/1/Tesis___Ernesto-Cardona.pdf6cbebd6de5ad2396423f8eaff8f293adMD51open accessFORMATO ANEXO 6 - ERNESTO CARDONA.pdfFORMATO ANEXO 6 - ERNESTO CARDONA.pdfCartas aprobación directoresapplication/pdf358675http://repository.javeriana.edu.co/bitstream/10554/59049/3/FORMATO%20ANEXO%206%20-%20ERNESTO%20CARDONA.pdfaa29c7c3ed9a48da578633283dcff685MD53metadata only accessCarta_de_autorizacion.pdfCarta_de_autorizacion.pdfLicencia de usoapplication/pdf156736http://repository.javeriana.edu.co/bitstream/10554/59049/2/Carta_de_autorizacion.pdfbbc87338f9e33e61100b8fecb8486c45MD52metadata only accessTHUMBNAILTesis___Ernesto-Cardona.pdf.jpgTesis___Ernesto-Cardona.pdf.jpgIM Thumbnailimage/jpeg4743http://repository.javeriana.edu.co/bitstream/10554/59049/5/Tesis___Ernesto-Cardona.pdf.jpg62409ee74e860d00b38b91feef896da6MD55open accessFORMATO ANEXO 6 - ERNESTO CARDONA.pdf.jpgFORMATO ANEXO 6 - ERNESTO CARDONA.pdf.jpgIM Thumbnailimage/jpeg7338http://repository.javeriana.edu.co/bitstream/10554/59049/6/FORMATO%20ANEXO%206%20-%20ERNESTO%20CARDONA.pdf.jpgc52988254411524157791f1d87be2617MD56open accessCarta_de_autorizacion.pdf.jpgCarta_de_autorizacion.pdf.jpgIM Thumbnailimage/jpeg6749http://repository.javeriana.edu.co/bitstream/10554/59049/7/Carta_de_autorizacion.pdf.jpg7b41f1accc3a25203e609f53aae01ed3MD57open access10554/59049oai:repository.javeriana.edu.co:10554/590492022-05-03 10:10:35.688Repositorio Institucional - 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