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A variable neighborhood search heuristic for periodic routing problems

Author

Listed:
  • Hemmelmayr, Vera C.
  • Doerner, Karl F.
  • Hartl, Richard F.

Abstract

The aim of this paper is to propose a new heuristic for the Periodic Vehicle Routing Problem (PVRP) without time windows. The PVRP extends the classical Vehicle Routing Problem (VRP) to a planning horizon of several days. Each customer requires a certain number of visits within this time horizon while there is some flexibility on the exact days of the visits. Hence, one has to choose the visit days for each customer and to solve a VRP for each day. Our method is based on Variable Neighborhood Search (VNS). Computational results are presented, that show that our approach is competitive and even outperforms existing solution procedures proposed in the literature. Also considered is the special case of a single vehicle, i.e. the Periodic Traveling Salesman Problem (PTSP). It is shown that slight changes of the proposed VNS procedure is also competitive for the PTSP.

Suggested Citation

  • Hemmelmayr, Vera C. & Doerner, Karl F. & Hartl, Richard F., 2009. "A variable neighborhood search heuristic for periodic routing problems," European Journal of Operational Research, Elsevier, vol. 195(3), pages 791-802, June.
  • Handle: RePEc:eee:ejores:v:195:y:2009:i:3:p:791-802
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    References listed on IDEAS

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    1. Angelelli, Enrico & Grazia Speranza, Maria, 2002. "The periodic vehicle routing problem with intermediate facilities," European Journal of Operational Research, Elsevier, vol. 137(2), pages 233-247, March.
    2. Alegre, Jesus & Laguna, Manuel & Pacheco, Joaquin, 2007. "Optimizing the periodic pick-up of raw materials for a manufacturer of auto parts," European Journal of Operational Research, Elsevier, vol. 179(3), pages 736-746, June.
    3. Hansen, Pierre & Mladenovic, Nenad, 2001. "Variable neighborhood search: Principles and applications," European Journal of Operational Research, Elsevier, vol. 130(3), pages 449-467, May.
    4. Polacek, Michael & Doerner, Karl F. & Hartl, Richard F. & Kiechle, Guenter & Reimann, Marc, 2007. "Scheduling periodic customer visits for a traveling salesperson," European Journal of Operational Research, Elsevier, vol. 179(3), pages 823-837, June.
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