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A Matheuristic Approach to the Integration of Three-Dimensional Bin Packing Problem and Vehicle Routing Problem with Simultaneous Delivery and Pickup

Author

Listed:
  • Ana Moura

    (University of Aveiro, GOVCOPP, Systems for Decision Support Research Group, Campus Universitário de Santiago, 3810-193 Aveiro, Portugal)

  • Telmo Pinto

    (University of Coimbra, CEMMPRE, Department of Mechanical Engineering, 3000-370 Coimbra, Portugal
    University of Minho, Centro ALGORITMI, Campus de Gualtar, 4710-057 Braga, Portugal)

  • Cláudio Alves

    (University of Minho, Centro ALGORITMI, Campus de Gualtar, 4710-057 Braga, Portugal)

  • José Valério de Carvalho

    (University of Minho, Centro ALGORITMI, Campus de Gualtar, 4710-057 Braga, Portugal)

Abstract

This work presents a hybrid approach to solve a distribution problem of a Portuguese company in the automotive industry. The objective is to determine the minimum cost for daily distribution operations, such as collecting and delivering goods to multiple suppliers. Additional constraints are explicitly considered, such as time windows and loading constraints due to the limited capacity of the fleet in terms of weight and volume. An exhaustive review of the state of the art was conducted, presenting different typology schemes from the literature for the pickup and delivery problems in the distribution field. Two mathematical models were integrated within a matheuristic approach. One model reflects the combination of the Vehicle Routing Problem with Simultaneous Delivery and Pickup with the Capacitated Vehicle Routing Problem with Time Windows. The second one aims to pack all the items to be delivered onto the pallets, reflecting a three-dimensional single bin size Bin Packing Problem. Both formulations proposed—a commodity-flow model and a formulation of the Three-Dimensional Packing Problem must be solved within the matheuristic. All the approaches were tested using real instances from data provided by the company. Additional computational experiments using benchmark instances were also performed.

Suggested Citation

  • Ana Moura & Telmo Pinto & Cláudio Alves & José Valério de Carvalho, 2023. "A Matheuristic Approach to the Integration of Three-Dimensional Bin Packing Problem and Vehicle Routing Problem with Simultaneous Delivery and Pickup," Mathematics, MDPI, vol. 11(3), pages 1-16, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:3:p:713-:d:1052283
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    References listed on IDEAS

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    1. Walaa H. El-Ashmawi & Ahmad Salah & Mahmoud Bekhit & Guoqing Xiao & Khalil Al Ruqeishi & Ahmed Fathalla, 2023. "An Adaptive Jellyfish Search Algorithm for Packing Items with Conflict," Mathematics, MDPI, vol. 11(14), pages 1-28, July.
    2. Ricardo Lopes & Marcello Trovati & Ella Pereira, 2024. "Volumetric Techniques for Product Routing and Loading Optimisation in Industry 4.0: A Review," Future Internet, MDPI, vol. 16(2), pages 1-23, January.

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