EURO 2024 Copenhagen
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1415. Comparison of Formulations for the Family Capacitated Vehicle Routing Problem

Invited abstract in session WA-58: MILPs for Vehicle Routing 2, stream VeRoLog - Vehicle Routing and Logistics.

Wednesday, 8:30-10:00
Room: S07 (building: 101)

Authors (first author is the speaker)

1. Raquel Bernardino
ISEG, CEMAPRE, UL
2. Ana Paias
DEIO - CMAFCIO, Universidade de Lisboa, Faculdade de Ciências

Abstract

The family capacitated vehicle routing problem (F-CVRP) is an NP-hard problem that generalizes both the FTSP and the capacitated vehicle routing problem. The F-CVRP has practical applications in warehouse management in warehouses with scattered storage. We propose several compact and non-compact formulations to address the problem. These formulations are compared both theoretically and computationally. Additionally, sets of valid inequalities are also derived and tested computationally. A branch-and-cut algorithm is used as a solution method for the non-compact formulations. Computational results show that both the developed branch-and-cut algorithm and the best-performing compact model are suited to address small to medium-sized instances of the F-CVRP.

Keywords

Status: accepted


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