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Flow-based integer linear programs to solve the weekly log-truck scheduling problem

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Listed:
  • Nizar Hachemi
  • Issmail Hallaoui
  • Michel Gendreau
  • Louis-Martin Rousseau

Abstract

In this paper we present the solution to a weekly log-truck scheduling problem (LTSP) integrating the routing and scheduling of trucks where all goods are transported in full truckloads. We must take into account pick-up and delivery requirements, multiple products, inventory levels, and lunch breaks. The objective is to minimize the overall transportation cost including wait times and the empty and loaded distance traveled. Our solution is based on a two-phase approach. The first phase involves an integer linear program that determines the destinations of full truckloads. The second phase uses an implicit integer linear program based on an arc formulation to ensure that the trucks are routed and scheduled at a minimum cost. Experiments have been conducted using Cplex 12.4.0, and almost all instances were solved within six hours with a reasonable gap. Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • Nizar Hachemi & Issmail Hallaoui & Michel Gendreau & Louis-Martin Rousseau, 2015. "Flow-based integer linear programs to solve the weekly log-truck scheduling problem," Annals of Operations Research, Springer, vol. 232(1), pages 87-97, September.
    • Handle: RePEc:spr:annopr:v:232:y:2015:i:1:p:87-97:10.1007/s10479-014-1527-4
    DOI: 10.1007/s10479-014-1527-4
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    References listed on IDEAS

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    1. Andres Weintraub & Rafael Epstein & Ramiro Morales & Jorge Seron & Pier Traverso, 1996. "A Truck Scheduling System Improves Efficiency in the Forest Industries," Interfaces, INFORMS, vol. 26(4), pages 1-12, August.
    2. Nizar El Hachemi & Michel Gendreau & Louis-Martin Rousseau, 2011. "A hybrid constraint programming approach to the log-truck scheduling problem," Annals of Operations Research, Springer, vol. 184(1), pages 163-178, April.
    3. Eveborn, Patrik & Flisberg, Patrik & Ronnqvist, Mikael, 2006. "Laps Care--an operational system for staff planning of home care," European Journal of Operational Research, Elsevier, vol. 171(3), pages 962-976, June.
    4. Julien Bramel & David Simchi-Levi, 1997. "On the Effectiveness of Set Covering Formulations for the Vehicle Routing Problem with Time Windows," Operations Research, INFORMS, vol. 45(2), pages 295-301, April.
    5. Patrik Eveborn & Mikael Rönnqvist & Helga Einarsdóttir & Mats Eklund & Karin Lidén & Marie Almroth, 2009. "Operations Research Improves Quality and Efficiency in Home Care," Interfaces, INFORMS, vol. 39(1), pages 18-34, February.
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    Cited by:

    1. Zdeněk Hanzálek & Přemysl Šůcha, 2017. "Time symmetry of resource constrained project scheduling with general temporal constraints and take-give resources," Annals of Operations Research, Springer, vol. 248(1), pages 209-237, January.

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