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Master's Dissertation
DOI
10.11606/D.55.2018.tde-24012018-102912
Document
Author
Full name
Rúbia Mara de Oliveira
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2001
Supervisor
Committee
Arenales, Marcos Nereu (President)
Pureza, Vitória Maria Miranda
Ronconi, Debora Pretti
Title in Portuguese
A técnica de geração de colunas aplicada a problemas de roteamento
Keywords in Portuguese
Caminho mínimo com janela de tempo
Problemas de roteamento de veículos
Técnica de geração de colunas
Abstract in Portuguese
Este trabalho apresenta um estudo teórico da Técnica de Geração de Colunas (GC) aplicada em alguns Problemas de Roteamento de Veículo (PRV). Essa técnica foi inicialmente utilizada para tratar problemas de otimização de grande porte com estruturas especiais[Dantzig & Wolfe, 1960]. Dentre as diversas classes de problemas de roteamento; revisamos a aplicação dessa técnica a dois casos particulares: O problema de roteamento de helicópteros em plataformas marítimas, cujo objetivo minimizar o custo total do transporte; O problema de roteamento com janela de tempo, onde a função objetivo é descrita pelo tamanho da frota e o custo do percurso. Revisamos e implementamos um algoritmo de caminho mínimo com janela de tempo (CMJT). Esse algoritmo surge como um sub-problema do algoritmo Primai Simplex para resolver o problema de partição de conjunto, utilizado para modelar o problema de roteamento com janela de tempo.
Title in English
Not available
Keywords in English
Column generation technique
Shortest path with time windows
Vehicle routing problems
Abstract in English
This work presents a study about the Column Generation Technique (CG) applied to some Vehicle Ftouting Problems. The technique was first used to deal with optimization problems having special structures. Among the vaa-ious classes of routing problems, we review the use of the technique in two specific cases: Ftouting helicopters for crew exchanges on off-shore locations, where the objective is to minimize the total transportation cost; Ftouting with time windows, where the objective function is composed by the size of the fleet and the cost of route. We review and implement a shortest path algorithm with time windows. This algorithm aa-ises as a sub-problem in the Primai Simplex algorithm to solve the linear relaxation of the set partitioning problem used to model the routing problem with time windows.
 
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Publishing Date
2018-01-24
 
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