Algorithms (May 2018)

A Multi-Stage Algorithm for a Capacitated Vehicle Routing Problem with Time Constraints

  • Lucia Cassettari,
  • Melissa Demartini,
  • Roberto Mosca,
  • Roberto Revetria,
  • Flavio Tonelli

DOI
https://doi.org/10.3390/a11050069
Journal volume & issue
Vol. 11, no. 5
p. 69

Abstract

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The Vehicle Routing Problem (VRP) is one of the most optimized tasks studied and it is implemented in a huge variety of industrial applications. The objective is to design a set of minimum cost paths for each vehicle in order to serve a given set of customers. Our attention is focused on a variant of VRP, the capacitated vehicle routing problem when applied to natural gas distribution networks. Managing natural gas distribution networks includes facing a variety of decisions ranging from human resources and material resources to facilities, infrastructures, and carriers. Despite the numerous papers available on vehicle routing problem, there are only a few that study and analyze the problems occurring in capillary distribution operations such as those found in a metropolitan area. Therefore, this work introduces a new algorithm based on the Saving Algorithm heuristic approach which aims to solve a Capacitated Vehicle Routing Problem with time and distance constraints. This joint algorithm minimizes the transportation costs and maximizes the workload according to customer demand within the constraints of a time window. Results from a real case study in a natural gas distribution network demonstrates the effectiveness of the approach.

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