An Intercontinental Replenishment Problem: A Hybrid Approach

  • Elsa SilvaEmail author
  • António G. Ramos
  • Manuel Lopes
  • Patrícia Magalhães
  • José Fernando Oliveira
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 223)


This work addresses a case study in an intercontinental supply chain. The problem emerges in a company in Angola dedicated to the trade of consumable goods for construction building and industrial maintenance. The company in Angola sends the replenishment needs to a Portuguese company, which takes the decision of which products and in which quantities will be sent by shipping container to the company in Angola. The replenishment needs include the list of products that reached the corresponding reorder point. The decision of which products and in which quantity should take into consideration a set of practical constraints: the maximum weight of the cargo, the maximum volume the cargo and financial constraints related with the minimum value that guarantees the profitability of the business and a maximum value associated with shipping insurance. A 2-stage hybrid method is proposed. In the first stage, an integer linear programming model is used to select the products that maximise the sales potential. In the second stage, a Container Loading Algorithm is used to effectively pack the selected products in the shipping container ensuring the geometrical constraints, and safety constraints such as weight limit and stability. A new set of problem instances was generated with the 2DCPackGen problem generator, using as inputs the data collected in the company. Computational results for the algorithm are presented and discussed. Good results were obtained with the solution approach proposed, with an average occupation ratio of 92% of the container and an average gap of 4% for the solution of the integer linear programming model.


Inventory planning Container loading Load balance 



The first author was supported by FCT – Fundação para a Ciência e a Tecnologia within the grant SFRH/BPD/98981/2013. The research was partially supported by ERDF European Regional Development Fund through the Operational Programme for Competitiveness and Internationalisation - COMPETE 2020 Programme within project “POCI-01-0145-FEDER-006961”, and by National Funds through the Portuguese funding agency, FCT – Fundação para a Ciência e a Tecnologia as part of project “UID/EEA/50014/2013”.


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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  • Elsa Silva
    • 1
    Email author
  • António G. Ramos
    • 2
  • Manuel Lopes
    • 3
  • Patrícia Magalhães
    • 4
  • José Fernando Oliveira
    • 5
  1. 1.INESC TECPortoPortugal
  2. 2.INESC TEC and CIDEM, School of Engineering, Polytechnic of PortoPortoPortugal
  3. 3.CIDEM, School of Engineering, Polytechnic of PortoPortoPortugal
  4. 4.School of Engineering, Polytechnic of PortoPortoPortugal
  5. 5.INESC TEC and Faculty of Engineering, University of PortoPortoPortugal

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