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Pickup and delivery problem with time windows: a new compact two-index formulation

Maria Gabriela S. Furtado (gabisfurtado***at***gmail.com)
Pedro Munari (munari***at***dep.ufscar.br)
Reinaldo Morabito (morabito***at***ufscar.br)

Abstract: We propose a formulation for the pickup and delivery problem with time windows, based on a novel modeling strategy that allows the assignment of vehicles to routes explicitly in two-index flow formulations. It leads to an effective compact formulation that can benefit OR practitioners interested in solving the problem by general-purpose optimization software. Computational experiments indicate that the proposed formulation has interesting features and best overall performance in relation to other compact formulations.

Keywords: Pickup and delivery; time windows; two-index formulation; precedence constraints; compact formulation

Category 1: Integer Programming

Category 2: Applications -- OR and Management Sciences (Transportation )

Category 3: Combinatorial Optimization

Citation: Furtado, M.G.S.; Munari, P.; Morabito, R. Pickup and delivery problem with time windows: a new compact two-index formulation. Technical Report. Production Engineering Department, Federal University of São Carlos, Rod. Washington Luís, km 235 - SP-310, São Carlos - SP - CEP: 13565-905, Brazil. July, 2015.

Download: [PDF]

Entry Submitted: 07/22/2015
Entry Accepted: 07/22/2015
Entry Last Modified: 04/27/2017

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