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A hybrid method based on linear programming and tabu search for routing of logging trucks

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Abstract

In this paper, we consider an operational routing problem to decide the daily routes of logging trucks in forestry. The industrial problem is difficult and includes aspects such as pickup and delivery with split pickups, multiple products, time windows, several time periods, multiple depots, driver changes and a heterogeneous truck fleet. In addition, the problem size is large and the solution time limited. We describe a two-phase solution approach which transforms the problem into a vehicle routing problem with time windows. In the first phase, we solve an LP problem in order to find a destination of flow from supply points to demand points. Based on this solution, we create transport nodes each of which defines the origin(s) and destination for a full truckload. In phase two, we make use of a standard tabu search method to combine these transport nodes, which can be considered to be customers in vehicle routing problems, into actual routes. The standard tabu search method is extended to consider some new features. The solution approach is implemented as part of a newly developed decision support system and we report on tests made on a set of industrial cases from major forest companies in Sweden.

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  • Flisberg, Patrik & Lidén, Bertil & Rönnqvist, Mikael, 2007. "A hybrid method based on linear programming and tabu search for routing of logging trucks," Discussion Papers 2007/14, Norwegian School of Economics, Department of Business and Management Science.
    • Handle: RePEc:hhs:nhhfms:2007_014
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    File URL: http://hdl.handle.net/11250/163862
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    1. Stefan Ropke & David Pisinger, 2006. "An Adaptive Large Neighborhood Search Heuristic for the Pickup and Delivery Problem with Time Windows," Transportation Science, INFORMS, vol. 40(4), pages 455-472, November.
    2. Ropke, Stefan & Pisinger, David, 2006. "A unified heuristic for a large class of Vehicle Routing Problems with Backhauls," European Journal of Operational Research, Elsevier, vol. 171(3), pages 750-775, June.
    3. 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.
    4. Olli Bräysy & Michel Gendreau, 2005. "Vehicle Routing Problem with Time Windows, Part I: Route Construction and Local Search Algorithms," Transportation Science, INFORMS, vol. 39(1), pages 104-118, February.
    5. Olli Bräysy & Michel Gendreau, 2005. "Vehicle Routing Problem with Time Windows, Part II: Metaheuristics," Transportation Science, INFORMS, vol. 39(1), pages 119-139, February.
    6. Crevier, Benoit & Cordeau, Jean-Francois & Laporte, Gilbert, 2007. "The multi-depot vehicle routing problem with inter-depot routes," European Journal of Operational Research, Elsevier, vol. 176(2), pages 756-773, January.
    7. C. Archetti & M. G. Speranza & A. Hertz, 2006. "A Tabu Search Algorithm for the Split Delivery Vehicle Routing Problem," Transportation Science, INFORMS, vol. 40(1), pages 64-73, February.
    8. J-F Cordeau & M Gendreau & G Laporte & J-Y Potvin & F Semet, 2002. "A guide to vehicle routing heuristics," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(5), pages 512-522, May.
    9. J-F Cordeau & G Laporte & A Mercier, 2001. "A unified tabu search heuristic for vehicle routing problems with time windows," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(8), pages 928-936, August.
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    Cited by:

    1. Andersson, Gert & Flisberg, Patrik & Lidén, Bertil & Rönnqvist, Mikael, 2007. "RuttOpt – A decision support system for routing of logging trucks," Discussion Papers 2007/16, Norwegian School of Economics, Department of Business and Management Science.
    2. Krystel K. Castillo-Villar, 2014. "Metaheuristic Algorithms Applied to Bioenergy Supply Chain Problems: Theory, Review, Challenges, and Future," Energies, MDPI, vol. 7(11), pages 1-33, November.

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    More about this item

    Keywords

    Forestry; Routing; Tabu search; Linear Programming; OR in Practice;
    All these keywords.

    JEL classification:

    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • Q23 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Forestry

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