Proposta de um modelo matemático para o problema dial-a-ride aplicado ao transporte público de cadeirantes

Authors

  • Patricia Perreto Rodrigues IFES
  • Rodrigo de Alvarenga Rosa UFES
  • Leandro Colombi Resendo IFES

DOI:

https://doi.org/10.4237/transportes.v20i2.501

Abstract

O presente artigo propõe um modelo de Programação Linear Inteira Mista para resolver o problema de roteamento denominado de Dial-a-Ride Problem – DARP. O DARP consiste no problema de roteamento de demandas onde os veículos saem da garagem, buscam e entregam os clientes nos locais e horários solicitados, e retornam para a garagem, tendo como objetivo a minimização dos custos de atendimento. Diferente do que é comumente encontrado na literatura, o modelo aqui proposto considera restrições de janela de tempo na origem e no destino e uma frota de veículos heterogênea. Alem disso, o modelo também possibilitou a redução do número de veículos usados. Visando uma aplicação real do modelo proposto, o mesmo foi testado com dados reais fornecidos pelo programa Porta a Porta da Prefeitura de Vitória - ES. O modelo foi executado no software CPLEX e os resultados mostraram que cenários com grande número clientes (20) podem ser resolvidos otimamente com essa formulação.

Palavras-chave: dial-a-ride problem, programação linear inteira mista, transporte público de cadeirantes. 

Abstract: This article proposes a mixed integer linear programming model to solve the routing problem called Dial-a-Ride Problem - DARP. The DARP consists of a demands routing problem, where vehicles leave the garage, pickup and deliver customers at requested locations and times, and return to the garage, aiming to minimize the cost of the services. Differently from literature, the model proposed considers the origin and sink time windows and the use of an heterogenous fleet of vehicles. In addition, the model allow a reduction on number of vehicles used. Aiming a real application of the proposed model, it was tested with real data from the city of Vitória, provided by the  Secretary of Infrastructure and Transportation. The model was implemented using CPLEX and the results showed that scenarios with a large number of wheelchair users (20) can be solved optimally.

Keywords: dial-a-ride problem, mixed integer linear programming, wheelchair public transport.

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Author Biographies

Patricia Perreto Rodrigues, IFES

Mestre em Engenharia Civil (UFES)  e Professora do Instituto Federal do Espírito Santo (IFES, Colatina)

Rodrigo de Alvarenga Rosa, UFES

Doutor em Engenharia Elétrica (UFES, 2006); Engenheiro Civil (UFES, 1989), Professor do Departamento de Engenharia de Produção da Universidade Federal do Espírito Santo (UFES) 

Leandro Colombi Resendo, IFES

Doutor em Engenharia Elétrica (UFES)  e Professor do IFES-Instituto Federal do Espírito Santo (IFES, Serra)

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Published

2012-08-31

How to Cite

Rodrigues, P. P., Rosa, R. de A., & Resendo, L. C. (2012). Proposta de um modelo matemático para o problema dial-a-ride aplicado ao transporte público de cadeirantes. Transportes, 20(2), 33–41. https://doi.org/10.4237/transportes.v20i2.501

Issue

Vol. 20 No. 2 (2012)

Section

Articles

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